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1.

図書
図書
1. Probability theory. 3rd ed., Dover ed (: pbk)
Michel Loève
出版情報: Mineola, N.Y. : Dover Publications, 2017  xvi, 685 p. ; 23 cm
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2.

図書
図書
2. Applied statistics and probability for engineers. 6th edition., International student version (: pbk)
Douglas C. Montgomery, George C. Runger
出版情報: Hoboken, N.J. : J. Wiley, c2014  xvi, 765 p. ; 26 cm
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3.

図書
図書
3. The logic of conditionals : an application of probability to deductive logic
Ernest W. Adams
出版情報: Dordrecht, Holland ; Boston : D. Reidel Pub. Co., c1975  xiii, 155 p. ; 23 cm
シリーズ名: Synthese library ; v. 86
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4.

図書
図書
4. Statistical and computational methods in data analysis
Siegmund Brandt
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1970  xii, 322 p ; 23 cm
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5.

図書
図書
5. Probability, statistics, and queueing theory : with computer science applications
Arnold O. Allen
出版情報: New York : Academic Press, 1978  xvi, 390 p. ; 24 cm
シリーズ名: Computer science and applied mathematics
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6.

図書
図書
6. Management decision making under uncertainty : an introduction to probability and statistical decision theory
[by] T.R. Dyckman, S. Smidt [and] A.K. McAdams
出版情報: London : Macmillan, c1969  xxiii, 662 p. ; 26 cm
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7.

図書
図書
7. Probabilistic fracture mechanics and reliability
edited by James W. Provan
出版情報: Dordrecht ; Boston : M. Nijhoff, 1987  xv, 467 p. ; 25 cm
シリーズ名: Engineering application of fracture mechanics / editor-in-chief, George C. Sih ; 6
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8.

図書
図書
8. The probabilistic method
Noga Alon, Joel H. Spencer ; with an appendix on open problems by Paul Erdős
出版情報: New York : Wiley, c1992  xiii, 254 p. ; 25 cm
シリーズ名: Wiley-Interscience series in discrete mathematics and optimization
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目次情報: 続きを見る
Methods
The Basic Method
Linearity of Expectation
Alterations
The Second Moment
The Local Lemma
Correlation Inequalities
Martingales and Tight Concentration
The Poisson Paradigm
Pseudo-Randomness
Topics
Random Graphs
Circuit Complexity
Discrepancy
Geometry
Codes, Games and Entropy
Derandomization
Appendices
Indexes
References
Methods
The Basic Method
Linearity of Expectation
9.

図書
図書
9. Introductory probability and statistical applications
Paul L. Meyer
出版情報: Reading, Mass. : Addison-Wesley, c1965  x, 339 p. ; 24 cm
シリーズ名: Addison-Wesley series in statistics
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10.

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図書
10. Theory of probability. 3rd ed
by Harold Jeffreys
出版情報: Oxford [England] : Clarendon Press, 1967, c1961  x, 459 p. ; 24 cm
シリーズ名: The international series of monographs on physics
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11.

図書
図書
11. Applied probability models with optimization applications
[by] Sheldon M. Ross
出版情報: San Francisco [Calif.] : Holden-Day, c1970  198 p. ; 24 cm
シリーズ名: Holden-Day series in management science
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12.

図書
図書
12. An introduction to applied probability (: pbk)
Ian F. Blake
出版情報: New York : Wiley, 1979  528 p. ; 24 cm
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13.

図書
図書
13. A first course in probability (: hard ; international ed)
Sheldon Ross
出版情報: New York : Macmillan , London : Collier Macmillan, c1976  x, 305 p. ; 24 cm
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目次情報: 続きを見る
Preface
Combinatorial Analysis / 1：
Introduction / 1.1：
The Basic Principle of Counting / 1.2：
Permutations / 1.3：
Combinations / 1.4：
Multinomial Coefficients / 1.5：
The Number of Integer Solutions of Equations / 1.6：
Summary
Problems
Theoretical Exercises
Self-Test Problems and Exercises
Axioms of Probability / 2：
Sample Space and Events / 2.1：
Some Simple Propositions / 2.3：
Sample Spaces Having Equally Likely Outcomes / 2.5：
Probability As a Continuous Set Function / 2.6：
Probability As a Measure of Belief / 2.7：
Conditional Probability and Independence / 3：
Conditional Probabilities / 3.1：
Bayes' Formula / 3.3：
Independent Events / 3.4：
P(-[middle dot]F) is a Probability / 3.5：
Random Variables / 4：
Discrete Random Variables / 4.1：
Expected Value / 4.3：
Expectatio of a Function of a Random Variable / 4.4：
Variance / 4.5：
The Bernoulli and Binomial Random Variables / 4.6：
Properties of Binomial Random Variables / 4.6.1：
Computing the Binomial Distribution Function / 4.6.2：
The Poisson Random Variable / 4.7：
Computing the Poisson Distribution Function / 4.7.1：
Other Discrete Probability Distribution / 4.8：
The Geometric Random Variable / 4.8.1：
The Negative Binomial Random Variable / 4.8.2：
The Hypergeometric Random Variable / 4.8.3：
The Zeta (or Zipf) distribution / 4.8.4：
Properties of the Cumulative Distribution Function / 4.9：
Continuous Random Variables / 5：
Expectation and Variance of Continuous Random Variables / 5.1：
The Uniform Random Variable / 5.3：
Normal Random Variables / 5.4：
The Normal Approximation to the Binomial Distribution / 5.4.1：
Exponential Random Variables / 5.5：
Hazard Rate Functions / 5.5.1：
Other Continuous Distributions / 5.6：
The Gamma Distribution / 5.6.1：
The Weibull Distribution / 5.6.2：
The Cauchy Distribution / 5.6.3：
The Beta Distribution / 5.6.4：
The Distribution of a Function of a Random Variable / 5.7：
Jointly Distributed Random Variables / 6：
Joint Distribution Functions / 6.1：
Independent Random Variables / 6.2：
Sums of Independent Random Variables / 6.3：
Conditional Distributions: Discrete Case / 6.4：
Conditional Distributions: Continuous Case / 6.5：
Order Statistics / 6.6：
Joint Probability Distribution of Functions of Random Variables / 6.7：
Exchangeable Random Variables / 6.8：
Self-Test Problem and Exercises
Properties of Expectation / 7：
Expectation of Sums of Random Variables / 7.1：
Obtaining Bounds from Expectations via the Probabilistic Method / 7.2.1：
The Maximum-Minimums Identity / 7.2.2：
Covariance, Variance of Sums, and Correlations / 7.3：
Conditional Expectation / 7.4：
Definitions / 7.4.1：
Computing Expectations by Conditioning / 7.4.2：
Computing Probabilities by Conditioning / 7.4.3：
Conditional Variance / 7.4.4：
Conditional Expectation and Prediction / 7.5：
Moment Generating Functions / 7.6：
Joint Moment Generating Functions / 7.6.1：
Additional Properties of Normal Random Variables / 7.7：
The Multivariate Normal Distribution / 7.7.1：
The Joint Distribution of the Sample Mean and Sample Variance / 7.7.2：
General Definition of Expectation / 7.8：
Limit Theorems / 8：
Chebyshev's Inequality and the Weak Law of Large Numbers / 8.1：
The Central Limit Theorem / 8.3：
The Strong Law of Large Numbers / 8.4：
Other Inequalities / 8.5：
Bounding the Error Probability When Approximating a Sum of Independent Bernoulli Random Variables by a Poisson / 8.6：
Additional Topics in Probability / 9：
The Poisson Process / 9.1：
Markov Chains / 9.2：
Surprise, Uncertainty, and Entropy / 9.3：
Coding Theory and Entropy / 9.4：
Theoretical Exercises and Problems
References
Simulation / 10：
General Techniques for Simulating Continuous Random Variables / 10.1：
The Inverse Transformation Method / 10.2.1：
The Rejection Method / 10.2.2：
Simulating from Discrete Distributions / 10.3：
Variance Reduction Techniques / 10.4：
Use of Antithetic Variables / 10.4.1：
Variance Reduction by Conditioning / 10.4.2：
Control Variates / 10.4.3：
Answers to Selected Problems / Appendix A：
Solutions to Self-Test Problems and Exercises / Appendix B：
Index
Preface
Combinatorial Analysis / 1：
Introduction / 1.1：
14.

図書
図書
14. Concentration functions
W. Hengartner, R. Theodorescu
出版情報: New York : Academic Press, 1973  xii, 139 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 20
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15.

図書
図書
15. Probability and statistical inference for scientists and engineers
[by] Isaac N. Gibra
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1973]  xii, 596 p. ; 24 cm
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16.

図書
図書
16. Probability and stochastic processes : with a view toward applications
Breiman, Leo
出版情報: Boston : Houghton Mifflin, [1969]  xii, 324 p ; 25 cm
シリーズ名: Houghton Mifflin series in statistics
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17.

図書
図書
17. Applied probability
Frank A. Haight
出版情報: New York : Plenum Press, c1981  xi, 290 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; 23
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18.

図書
図書
18. Random noise, signals, and dynamic systems
Larson, Harold J., 1934- ; Shubert, Bruno O.
出版情報: New York : Wiley, c1979  737 p. ; 24 cm
シリーズ名: Probabilistic models in engineering sciences / Harold J. Larson, Bruno O. Scubert ; v. 2
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19.

図書
図書
19. Introduction to Probability and statistics. 4th ed
Henry L. Alder, Edward B. Roessler
出版情報: San Francisco : W. H. Freeman, c1968  viii, 333 p. ; 24 cm
シリーズ名: A Series of books in mathematics
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目次情報: 続きを見る
To offer flexibility to instructors and savings to students, The Practice of Business Statistics is available as:
A core book with CD (Chapters 1-11) covering essential topics
Separate companion chapters (Chs. 12-18) on additional topics, which can be packaged with the core book at a discount or purchased separately
A comprehensive book with CD including all chapters
Data / Part I：
Examining Distributions / 1：
Examining Relationships / 2：
Producing Data / 3：
Probability and Inference / Part II：
Probability and Sampling Distributions / 4：
Probability Theory / 5：
Introduction to Inference / 6：
Inference for Distribution / 7：
Inference for Proportions / 8：
Topics in Inference / Part III：
Inference for Two-Way Tables / 9：
Inference for Regression / 10：
Multiple Regression / 11：
Companion chapters on advanced inference topics (available separately, or at a discount with packaged with the core book):
Statistics for Quality: Control and Capability, 0-7167-9627-8 / 12：
Time Series Forecasting, 0-7167-9626-0 / 13：
One-Way Analysis of Variance, 0-7167-9625-2 / 14：
Two-Way Analysis of Variance, 0-7167-9624-4 / 15：
Nonparametric Tests, 0-7167-5724-9 / 16：
Logistic Regression, 0-7167-5725-7 / 17：
Bootstrap Methods and Permutation Tests, 0-7167-5726-5 / 18：
To offer flexibility to instructors and savings to students, The Practice of Business Statistics is available as:
A core book with CD (Chapters 1-11) covering essential topics
Separate companion chapters (Chs. 12-18) on additional topics, which can be packaged with the core book at a discount or purchased separately
20.

図書
図書
20. Elements of the theory of probability
by Émile Borel ; translated by John E. Freund
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1965  178 p. ; 24 cm
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21.

図書
図書
21. Modern probability theory and its applications
Emanuel Parzen
出版情報: New York : Wiley , Tokyo : Toppan, c1960  xv, 464 p. ; 22 cm
シリーズ名: A Wiley publication in mathematical statistics
Wiley international editions
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22.

図書
図書
22. Calculus with probability, for the life and management sciences
Willard E. Baxter, Clifford W. Sloyer
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1973  xiii, 648 p. ; 25 cm
シリーズ名: Addison-Wesley series in mathematics
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23.

図書
図書
23. Modern probability theory : an introductory text book
B. Ramdas Bhat
出版情報: New York : Wiley, c1981  xi, 256 p. ; 24 cm
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24.

図書
図書
24. Probability, statistical optics, and data testing : a problem solving approach (: U.S. ; : Germany)
B. Roy Frieden
出版情報: Berlin ; Heidelberg : Springer-Verlag, 1983  xvii, 404 p. ; 24 cm
シリーズ名: Springer series in information sciences ; 10
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25.

図書
図書
25. Decomposition of multivariate probabilities
Roger Cuppens
出版情報: New York : Academic Press, 1975  xv, 244 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; v. 29
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26.

図書
図書
26. Inductive probability
by John Patrick Day
出版情報: London : Routledge & K. Paul, 1961  xvi, 336 p. ; 23 cm
シリーズ名: International library of philosophy and scientific method
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27.

図書
図書
27. The analysis of binary data
[by] D. R. Cox
出版情報: London : Methuen, c1970  viii, 142 p. ; 22 cm
シリーズ名: Methuen's monographs on applied probability and statistics
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28.

図書
図書
28. Random variables and stochastic processes
Harold J. Larson, Bruno O. Shubert
出版情報: New York : Wiley, c1979  x, 544 p. ; 24 cm
シリーズ名: Probabilistic models in engineering sciences / Harold J. Larson, Bruno O. Scubert ; v. 1
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29.

図書
図書
29. Stationary processes and prediction theory
by Harry Furstenberg
出版情報: Princeton, N.J. : Princeton University Press, 1960  283 p. ; 25 cm
シリーズ名: Annals of mathematics studies ; no. 44
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30.

図書
図書
30. Probability, signals, noise
Jacques Dupraz ; translated by A. Howie
出版情報: London : North Oxford Academic, 1986  xiii, 344 p. ; 24cm
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31.

図書
図書
31. Probability and statistics for business decisions : an introduction to managerial economics under uncertainty. International student ed
Robert Schlaifer
出版情報: New York : McGraw-Hill , Tokyo : Kōgakusha, c1959  xii, 732 p., [1] folded leaf of plate ; 22 cm
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32.

図書
図書
32. Introduction to measure and probability
by J. F. C. Kingman and S. J. Taylor
出版情報: London : Cambridge U.P., 1966  x, 401 p. ; 24 cm
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33.

図書
図書
33. Basic principles (: pbk)
Alfredo H-S. Ang, Wilson H. Tang
出版情報: New York : Wiley, 1975  xiii, 409 p. ; 24 cm
シリーズ名: Probability concepts in engineering planning and design ; v. 1
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目次情報: 続きを見る
Role of Probability in Engineering / 1：
Introduction / 1.1：
Uncertainty in Real-World Information / 1.2：
Uncertainty Associated with Randomness / 1.2.1：
Uncertainty Associated with Imperfect Modeling and Estimation / 1.2.2：
Design and Decision-Making Under Uncertainty / 1.3：
Planning and Design of Airport Pavement / 1.3.1：
Hydrologic Design / 1.3.2：
Design of Structures and Machines / 1.3.3：
Geotechnical Design / 1.3.4：
Construction Planning and Management / 1.3.5：
Photogrammetric, Geodetic, and Surveying Measurements / 1.3.6：
Control and Standards / 1.4：
Concluding Remarks / 1.5：
Basic Probability Concepts / 2：
Events and Probability / 2.1：
Characteristics of Probability Problems / 2.1.1：
Calculation of Probability / 2.1.2：
Elements of Set Theory / 2.2：
Definitions / 2.2.1：
Combination of Events / 2.2.2：
Operational Rules / 2.2.3：
Mathematics of Probability / 2.3：
Basic Axioms of Probability Addition Rule / 2.3.1：
Conditional Probability Multiplication Rule / 2.3.2：
Theorem of Total Probability / 2.3.3：
Bayes' Theorem / 2.3.4：
Concluding Remarks Problems / 2.4：
Analytical Models of Random Phenomena / 3：
Random Variables / 3.1：
Probability Distribution of a Random Variable / 3.1.1：
Main Descriptors of a Random Variable / 3.1.2：
Useful Probability Distributions / 3.2：
The Normal Distribution / 3.2.1：
The Logarithmic Normal Distribution / 3.2.2：
Bernoulli Sequence and the Binomial Distribution / 3.2.3：
The Geometric Distribution / 3.2.4：
The Negative Binomial Distribution / 3.2.5：
The Poisson Process and Poisson Distribution / 3.2.6：
The Exponential Distribution / 3.2.7：
The Gamma Distribution / 3.2.8：
The Hypergeometric Distribution / 3.2.9：
The Beta Distribution / 3.2.10：
Other Distributions / 3.2.11：
Multiple Random Variables / 3.3：
Joint and Conditional Probability Distributions / 3.3.1：
Covariance and Correlation / 3.3.2：
Conditional Mean and Variance / 3.3.3：
Functions of Random Variables / 3.4：
Derived Probability Distributions / 4.1：
Function of Single Random Variable / 4.2.1：
Function of Multiple Random Variables / 4.2.2：
Moments of Functions of Random Variables / 4.3：
Mean and Variance of a Linear Function / 4.3.1：
Product of Independent Variates / 4.3.3：
Mean and Variance of a General Function / 4.3.4：
Estimating Parameters from Observational Data / 4.4：
The Role of Statistical Inference in Engineering / 5.1：
Inherent Variability and Estimation Error / 5.1.1：
Classical Approach to Estimation of Parameters / 5.2：
Random Sampling and Point Estimation / 5.2.1：
Interval Estimation of the Mean / 5.2.2：
Problems of Measurement Theory / 5.2.3：
Interval Estimation of the Variance / 5.2.4：
Estimation of Proportion / 5.2.5：
Empirical Determination of Distribution Models / 5.3：
Probability Paper / 6.1：
The Normal Probability Paper / 6.2.1：
The Log-Normal Probability Paper / 6.2.2：
Construction of General Probability Paper / 6.2.3：
Testing Validity of Assumed Distribution / 6.3：
Chi-Square Test for Distribution / 6.3.1：
Kolmogorov-Smirnov Test for Distribution / 6.3.2：
Regression and Correlation Analyses / 6.4：
Basic Formulation of Linear Regression / 7.1：
Regression with Constant Variance / 7.1.1：
Regression with Nonconstant Variance / 7.1.2：
Multiple Linear Regression / 7.2：
Nonlinear Regression / 7.3：
Applications of Regression Analysis in Engineering / 7.4：
Correlation Analysis / 7.5：
Estimation of Correlation Coefficient / 7.5.1：
The Bayesian Approach / 7.6：
Basic Concepts-The Discrete Case / 8.1：
The Continuous Case / 8.3：
General Formulation / 8.3.1：
A Special Application of Bayesian Up-dating Process / 8.3.2：
Bayesian Concepts in Sampling Theory / 8.4：
Sampling from Normal Population / 8.4.1：
Error in Estimation / 8.4.3：
Use of Conjugate Distributions / 8.4.4：
Elements of Quality Assurance and Acceptance Sampling / 8.5：
Acceptance Sampling by Attributes / 9.1：
The Operating Characteristic (OC) Curve / 9.1.1：
The Success Run / 9.1.2：
The Average Outgoing Quality Curve / 9.1.3：
Acceptance Sampling by Variables / 9.2：
Average Quality Criterion, sigma Known / 9.2.1：
Average Quality Criterion, sigma Unknown / 9.2.2：
Fraction Defective Criterion / 9.2.3：
Multiple-Stage Sampling / 9.3：
Probability Tables / 9.4：
Table of Standard Normal Probability / Table A.1：
p-Percentile Values of the t-Distribution / Table A.2：
p-Percentile Values of the x 2 -Distribution / Table A.3：
Critical Values of D alpha; in the Kolmogorov-Smirnov Test / Table A.4：
Combinatorial Formulas / Appendix B：
Derivation of the Poisson Distribution / Appendix C：
References
Index
Role of Probability in Engineering / 1：
Introduction / 1.1：
Uncertainty in Real-World Information / 1.2：
34.

図書
図書
34. Mathematical foundations of information theory
A.I. Khinchin ; translated by R.A. Silverman and M.D. Friedman
出版情報: New York : Dover Publications, c1957  120 p. ; 21 cm
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35.

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図書
35. Markov processes for Stochastic modeling
Masaaki Kijima
出版情報: London : Chapman & Hall, 1997  x, 341 p. ; 24 cm
シリーズ名: Stochastic modeling
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36.

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図書
36. Probabilistic robotics
Sebastian Thrun, Wolfram Burgard, Dieter Fox
出版情報: Cambridge, Mass. : MIT Press, c2006  xx, 647 p. ; 24 cm
シリーズ名: Intelligent robotics and autonomous agents
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目次情報: 続きを見る
Preface
Acknowledgments
Basics / I：
Introduction / 1：
Uncertainty in Robotics / 1.1：
Probabilistic Robotics / 1.2：
Implications / 1.3：
Road Map / 1.4：
Teaching Probabilistic Robotics / 1.5：
Bibliographical Remarks / 1.6：
Recursive State Estimation / 2：
Basic Concepts in Probability / 2.1：
Robot Environment Interaction / 2.3：
Bayes Filters / 2.4：
Representation and Computation / 2.5：
Summary / 2.6：
Exercises / 2.7：
Gaussian Filters / 3：
The Kalman Filter / 3.1：
The Extended Kalman Filter / 3.3：
The Unscented Kalman Filter / 3.4：
The Information Filter / 3.5：
Nonparametric Filters / 3.6：
The Histogram Filter / 4.1：
Binary Bayes Filters with Static State / 4.2：
The Particle Filter / 4.3：
Robot Motion / 4.4：
Preliminaries / 5.1：
Velocity Motion Model / 5.3：
Odometry Motion Model / 5.4：
Motion and Maps / 5.5：
Robot Perception / 5.6：
Maps / 6.1：
Beam Models of Range Finders / 6.3：
Likelihood Fields for Range Finders / 6.4：
Correlation-Based Measurement Models / 6.5：
Feature-Based Measurement Models / 6.6：
Practical Considerations / 6.7：
Localization / 6.8：
Mobile Robot Localization: Markov and Gaussian / 7：
A Taxonomy of Localization Problems / 7.1：
Markov Localization / 7.2：
Illustration of Markov Localization / 7.3：
EKF Localization / 7.4：
Estimating Correspondences / 7.5：
Multi-Hypothesis Tracking / 7.6：
UKF Localization / 7.7：
Mobile Robot Localization: Grid And Monte Carlo / 7.8：
Grid Localization / 8.1：
Monte Carlo Localization / 8.3：
Localization in Dynamic Environments / 8.4：
Mapping / 8.5：
Occupancy Grid Mapping / 9：
The Occupancy Grid Mapping Algorithm / 9.1：
Learning Inverse Measurement Models / 9.3：
Maximum A Posteriori Occupancy Mapping / 9.4：
Simultaneous Localization and Mapping / 9.5：
SLAM with Extended Kalman Filters / 10.1：
EKF SLAM with Unknown Correspondences / 10.3：
The GraphSLAM Algorithm / 10.4：
Intuitive Description / 11.1：
Mathematical Derivation of GraphSLAM / 11.3：
Data Association in GraphSLAM / 11.5：
Efficiency Consideration / 11.6：
Empirical Implementation / 11.7：
Alternative Optimization Techniques / 11.8：
The Sparse Extended Information Filter / 11.9：
The SEIF SLAM Algorithm / 12.1：
Mathematical Derivation of the SEIF / 12.4：
Sparsification / 12.5：
Amortized Approximate Map Recovery / 12.6：
How Sparse Should SEIFs Be? / 12.7：
Incremental Data Association / 12.8：
Branch-and-Bound Data Association / 12.9：
Multi-Robot SLAM / 12.10：
The FastSLAM Algorithm / 12.12：
The Basic Algorithm / 13.1：
Factoring the SLAM Posterior / 13.2：
FastSLAM with Known Data Association / 13.3：
Improving the Proposal Distribution / 13.4：
Unknown Data Association / 13.5：
Map Management / 13.6：
The FastSLAM Algorithms / 13.7：
Efficient Implementation / 13.8：
FastSLAM for Feature-Based Maps / 13.9：
Grid-based FastSLAM / 13.10：
Planning and Control / 13.11：
Markov Decision Processes / 14：
Motivation / 14.1：
Uncertainty in Action Selection / 14.2：
Value Iteration / 14.3：
Application to Robot Control / 14.4：
Partially Observable Markov Decision Processes / 14.5：
An Illustrative Example / 15.1：
The Finite World POMDP Algorithm / 15.3：
Mathematical Derivation of POMDPs / 15.4：
Approximate POMDP Techniques / 15.5：
QMDPs / 16.1：
Augmented Markov Decision Processes / 16.3：
Monte Carlo POMDPs / 16.4：
Exploration / 16.5：
Basic Exploration Algorithms / 17.1：
Active Localization / 17.3：
Exploration for Learning Occupancy Grid Maps / 17.4：
Exploration for SLAM / 17.5：
Bibliography / 17.6：
Index
Preface
Acknowledgments
Basics / I：
37.

図書
図書
37. An elementary introduction to the theory of probability
[by] B.V. Gnedenko, A. Ya. Khinchin ; translated by W.R. Stahl ; edited by J.B. Roberts
出版情報: San Francisco : W.H. Freeman, c1961  137 p ; 21 cm
シリーズ名: Series of undergraduate books in mathematics
Golden Gate books
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38.

図書
図書
38. Biological sequence analysis : probabilistic models of proteins and nucleic acids (: hbk ; : pbk)
Richard Durbin ... [et al.]
出版情報: Cambridge, UK ; New York : Cambridge University Press, 1998  xi, 356 p. ; 25 cm
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目次情報: 続きを見る
Preface
Introduction / 1：
Tools for demography and epidemiology / 2：
Identification of population oscillations: a case study / 3：
Density-dependent control and feedback / 4：
Modelling the endogenous oscillations and predictions from time-series analysis / 5：
Cycles in the grain price series / 6：
Interactions of exogenous cycles: a case study / 7：
Mortality crises and the effects of the price of wool / 8：
Modelling epidemics for the demographer: the dynamics of smallpox in London / 9：
Non-linear modelling of the two-yearly epidemics in smallpox: the genesis of chaos? / 10：
Measles and whooping cough in London / 11：
Integration of the dynamics of infectious diseases with the demography of London / 12：
Smallpox in rural towns in England in the seventeenth and eighteenth centuries / 13：
Infectious diseases in England and Wales in the nineteenth century / 14：
Prospectives - towards a meta-population study / 15：
References
Index
Preface
Introduction / 1：
Tools for demography and epidemiology / 2：
39.

図書
図書
39. Probability, random variables, and stochastic processes. International student edition
Athanasios Papoulis
出版情報: New York : McGraw-Hill , Tokyo : Kogakusha, c1965  xi, 583 p. ; 21 cm
シリーズ名: McGraw-Hill series in systems science
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40.

図書
図書
40. Probability, random variables, and stochastic processes. 3rd ed (: pbk)
Athanasios Papoulis
出版情報: New York ; Tokyo : McGraw-Hill, c1991  xvii, 666 p. ; 25 cm
シリーズ名: McGraw-Hill series in electrical engineering ; . Communications and signal processing
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41.

図書
図書
41. Probability and random processes : an introduction for applied scientists and engineers (: pbk)
[by] Wilbur B. Davenport, Jr
出版情報: New York : McGraw-Hill , Tokyo : Mcgraw-Hill Kogakusha, [1970]  xvii, 542 p. ; 23 cm
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42.

図書
図書
42. Probabilities on algebraic structures
by Ulf Grenander
出版情報: New York : Wiley, c1963  218 p. ; 23 cm
シリーズ名: Wiley publications in statistics
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43.

図書
図書
43. An introduction to probability and mathematical statistics
Howard G. Tucker
出版情報: New York : Academic Press, c1962  xii, 228 p. ; 24 cm
シリーズ名: Academic Press textbooks in mathematics
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44.

図書
図書
44. Probability concepts in engineering : emphasis on applications in civil and environmental engineering. 2nd ed
Alfredo H-S. Ang, Wilson H. Tang
出版情報: New York : Wiley, c2007  xiii, 406 p. ; 27 cm
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目次情報: 続きを見る
Preface
Roles of Probability and Statistics in Engineering / Chapter 1：
Introduction / 1.1：
Uncertainty in Engineering / 1.2：
Uncertainty Associated with Randomness-The Aleatory Uncertainty / 1.2.1：
Uncertainty Associated with Imperfect Knowledge-The Epistemic Uncertainty / 1.2.2：
Design and Decision Making under Uncertainty / 1.3：
Planning and Design of Transportation Infrastructures / 1.3.1：
Design of Structures and Machines / 1.3.2：
Planning and Design of Hydrosystems / 1.3.3：
Design of Geotechnical Systems / 1.3.4：
Construction Planning and Management / 1.3.5：
Photogrammetric, Geodetic, and Surveying Measurements / 1.3.6：
Applications in Quality Control and Assurance / 1.3.7：
Concluding Summary / 1.4：
References
Fundamentals of Probability Models / Chapter 2：
Events and Probability / 2.1：
Characteristics of Problems Involving Probabilities / 2.1.1：
Estimating Probabilities / 2.1.2：
Elements of Set Theory-Tools for Defining Events / 2.2：
Important Definitions / 2.2.1：
Mathematical Operations of Sets / 2.2.2：
Mathematics of Probability / 2.3：
The Addition Rule / 2.3.1：
Conditional Probability / 2.3.2：
The Multiplication Rule / 2.3.3：
The Theorem of Total Probability / 2.3.4：
The Bayes' Theorem / 2.3.5：
Problems / 2.4：
Analytical Models of Random Phenomena / Chapter 3：
Random Variables and Probability Distribution / 3.1：
Random Events and Random Variables / 3.1.1：
Probability Distribution of a Random Variable / 3.1.2：
Main Descriptors of a Random Variable / 3.1.3：
Useful Probability Distributions / 3.2：
The Gaussian (or Normal) Distribution / 3.2.1：
The Lognormal Distribution / 3.2.2：
The Bernoulli Sequence and the Binomial Distribution / 3.2.3：
The Geometric Distribution / 3.2.4：
The Negative Binomial Distribution / 3.2.5：
The Poisson Process and the Poisson Distribution / 3.2.6：
The Exponential Distribution / 3.2.7：
The Gamma Distribution / 3.2.8：
The Hypergeometric Distribution / 3.2.9：
The Beta Distribution / 3.2.10：
Other Useful Distributions / 3.2.11：
Multiple Random Variables / 3.3：
Joint and Conditional Probability Distributions / 3.3.1：
Covariance and Correlation / 3.3.2：
Functions of Random Variables / 3.4：
Derived Probability Distributions / 4.1：
Function of a Single Random Variable / 4.2.1：
Function of Multiple Random Variables / 4.2.2：
Extreme Value Distributions / 4.2.3：
Moments of Functions of Random Variables / 4.3：
Mathematical Expectations of a Function / 4.3.1：
Mean and Variance of a General Function / 4.3.2：
Computer-Based Numerical and Simulation Methods in Probability / 4.4：
Numerical and Simulations Methods / 5.1：
Essentials of Monte Carlo Simulation / 5.2.1：
Numerical Examples / 5.2.2：
Problems Involving Aleatory and Epistemic Uncertainties / 5.2.3：
MCS Involving Correlated Random Variables / 5.2.4：
References and Softwares / 5.3：
Statistical Inferences from Observational Data / Chapter 6：
Role of Statistical Inference in Engineering / 6.1：
Statistical Estimation of Parameters / 6.2：
Random Sampling and Point Estimation / 6.2.1：
Sampling Distributions / 6.2.2：
Testing of Hypotheses / 6.3：
Hypothesis Test Procedure / 6.3.1：
Confidence Intervals / 6.4：
Confidence Interval of the Mean / 6.4.1：
Confidence Interval of the Proportion / 6.4.2：
Confidence Interval of the Variance / 6.4.3：
Measurement Theory / 6.5：
Determination of Probability Distribution Models / 6.6：
Probability Papers / 7.1：
Utility and Plotting Position / 7.2.1：
The Normal Probability Paper / 7.2.2：
The Lognormal Probability Paper / 7.2.3：
Construction of General Probability Papers / 7.2.4：
Testing Goodness-of-Fit of Distribution Models / 7.3：
The Chi-Square Test for Goodness-of-Fit / 7.3.1：
The Kolmogorov-Smirnov (K-S) Test for Goodness-of-Fit / 7.3.2：
The Anderson-Darling Test for Goodness-of-Fit / 7.3.3：
Invariance in the Asymptotic Forms of Extremal Distributions / 7.4：
Regression and Correlation Analyses / 7.5：
Fundamentals of Linear Regression Analysis / 8.1：
Regression with Constant Variance / 8.2.1：
Variance in Regression Analysis / 8.2.2：
Confidence Intervals in Regression / 8.2.3：
Correlation Analysis / 8.3：
Estimation of the Correlation Coefficient / 8.3.1：
Regression of Normal Variates / 8.3.2：
Linear Regression with Nonconstant Variance / 8.4：
Multiple Linear Regression / 8.5：
Nonlinear Regression / 8.6：
Applications of Regression Analysis in Engineering / 8.7：
The Bayesian Approach / 8.8：
Estimation of Parameters / 9.1：
Basic Concepts-The Discrete Case / 9.2：
The Continuous Case / 9.3：
General Formulation / 9.3.1：
A Special Application of the Bayesian Updating Process / 9.3.2：
Bayesian Concept in Sampling Theory / 9.4：
Sampling from Normal Populations / 9.4.1：
Error in Estimation / 9.4.3：
The Utility of Conjugate Distributions / 9.4.4：
Estimation of Two Parameters / 9.5：
Bayesian Regression and Correlation Analyses / 9.6：
Linear Regression / 9.6.1：
Updating the Regression Parameters / 9.6.2：
Elements of Quality Assurance and Acceptance Sampling / 9.6.3：
Appendices
Probability Tables / Appendix A：
Standard Normal Probabilities / Table A.1：
CDF of the Binomial Distribution / Table A.2：
Critical Values of t-Distribution at Confidence Level (1-[alpha]) = p / Table A.3：
Critical Values of the x[superscript 2] Distribution at probability Level [alpha] / Table A.4：
Critical Values of D[superscript alpha subscript n] at Significance Level [alpha] in the K-S Test / Table A.5：
Critical Values of the Anderson-Darling Goodness-of-Fit Test / Table A.6：
Combinatorial Formulas / Appendix B：
The Basic Relation / B.1：
The Binomial Coefficient / B.3：
The Multinomial Coefficient / B.4：
Stirling's Formula / B.5：
Derivation of the Poisson Distribution / Appendix C：
Index
Preface
Roles of Probability and Statistics in Engineering / Chapter 1：
Introduction / 1.1：
45.

図書
図書
45. Real analysis and probability
Robert B. Ash
出版情報: New York ; London : Academic Press, c1972  xv, 476 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 11
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46.

図書
図書
46. Probability : an introduction. 2nd ed (: hbk ; : pbk)
Geoffrey Grimmett, Dominic Welsh
出版情報: Oxford : Oxford University Press, 2014  x, 270 p. ; 26 cm
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47.

図書
図書
47. An introduction to probability theory and its applications. 3rd ed., rev. print (v. 1)
William Feller
出版情報: New York : Wiley, c1968  v. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
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48.

図書
図書
48. Applied statistical methods
by Irving W. Burr
出版情報: New York : Academic Press, [1974]  xix, 479 p. ; 25 cm
シリーズ名: Operations research and industrial engineering
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49.

図書
図書
49. Probability theory. 4th ed (v. 1 : us - v. 2 : gw)
M. Loève
出版情報: New York ; Berlin : Springer-Verlag, c1977-1978  2 v. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 45-46
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