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1.

図書

図書
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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2.

図書

図書
[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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3.

図書

図書
[by] V. V. Bolotin. Translated by Samuel Aroni
出版情報: San Francisco : Holden-Day, [1969]  xix, 240 p. ; 24 cm
シリーズ名: Holden-Day series in mathematical physics
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4.

図書

図書
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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5.

図書

図書
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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6.

図書

図書
Jacques Dupraz ; translated by A. Howie
出版情報: London : North Oxford Academic, 1986  xiii, 344 p. ; 24cm
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7.

図書

図書
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:
8.

図書

図書
Andrzej Lasota, Michael C. Mackey
出版情報: Cambridge : Cambridge University Press, c1985  x, 358 p. ; 24 cm
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目次情報: 続きを見る
Introduction / 1:
The toolbox / 2:
Markov and Frobenius-Perron operators / 3:
Studying chaos with densities / 4:
The asymptotic properties of densities / 5:
The behaviour of transformations on intervals and manifolds / 6:
Continuous time systems: an introduction / 7:
Discrete time processes embedded in continuous time systems / 8:
Entropy / 9:
Stochastic perturbation of discrete time systems / 10:
Stochastic perturbation of continuous time systems / 11:
Introduction / 1:
The toolbox / 2:
Markov and Frobenius-Perron operators / 3:
9.

図書

図書
Edward B. Haugen
出版情報: New York : Wiley, c1980  xxii, 626 p. ; 24 cm
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10.

図書

図書
Glenn Shafer
出版情報: Princeton, N.J. : Princeton University Press, c1976  xiii, 297 p. ; 24 cm
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