1.
図書
Michel Loève
出版情報:
Mineola, N.Y. : Dover Publications, 2017 xvi, 685 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
2.
図書
Douglas C. Montgomery, George C. Runger
出版情報:
Hoboken, N.J. : J. Wiley, c2014 xvi, 765 p. ; 26 cm
子書誌情報:
loading…
所蔵情報:
loading…
3.
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
子書誌情報:
loading…
所蔵情報:
loading…
4.
図書
R. Azencott, Y. Guivarc'h, R.F. Gundy ; edité par P.L. Hennequin
目次情報:
続きを見る
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
Learning mathematical reasoning in a collaborative whole class discussion
Classroom practices for teaching and learning mathematical reasoning
Teaching mathematics with the five strands
Teaching the practices of justification and explanation
Learner contributions
Teacher moves
Dilemmas in teaching mathematical reasoning
Learner resistance to mathematical conversations
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
5.
図書
A.J. Ayer
出版情報:
[London] : Macmillan, c1972 x, 144 p. ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
6.
図書
Alain Bensoussan, Jacques-Louis Lions, George Papanicolaou
7.
図書
Siegmund Brandt
出版情報:
Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1970 xii, 322 p ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
8.
図書
Patrick Billingsley
9.
図書
B.Z. Sandler
10.
図書
Lionel Weiss, Jacob Wolfowitz
11.
図書
Arnold O. Allen
12.
図書
Heinz Bauer ; English translation by R.B. Burckel ; adapted from the first English ed. and based on the third German ed
13.
図書
Bruno de Finetti ; translated by Antonio Machí and Adrian Smith
14.
図書
Narayan C. Giri
15.
図書
Narayan C. Giri
16.
図書
G.P. Beaumont
17.
図書
Robert Schlaifer
出版情報:
New York : McGraw-Hill, 1969 xvi, 729 p. ; 26 cm
子書誌情報:
loading…
所蔵情報:
loading…
18.
図書
Siegmund Brandt
出版情報:
Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1976, c1970 xviii, 414 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
19.
図書
Rudolf Carnap and Richard C. Jeffrey, editors
出版情報:
Berkeley : University of California Press, 1971-80 2 v ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
20.
図書
by A. Bruce Clarke [and] Ralph L. Disney
出版情報:
New York : Wiley, c1970 xv, 346 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
21.
図書
M.M. Rao
目次情報:
続きを見る
Preface
List of Symbols
Background Material and Preliminaries
Independence and Strong Convergence
Conditioning and Some Dependence Classes
Probability Distributions and Characteristic Functions
Weak Limit Laws
Application to Some Statistical Estimation Problems
Stopping Times, Martingales, and Convergence
Limit Laws for Some Dependent Sequences
A Glimpse into Stochastic Processes
References
Author Index
Subject Index
Preface
List of Symbols
Background Material and Preliminaries
22.
図書
edited by A.T. Bharucha-Reid
出版情報:
New York : Academic Press, 1968-1973 3 v. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
23.
図書
by N.N. Vakhania, V.I. Tarieladze and S.A. Chobanyan ; translated by Wojbor A. Woyczynski
24.
図書
George Papanicolaou, editor
25.
図書
[by] T.R. Dyckman, S. Smidt [and] A.K. McAdams
出版情報:
London : Macmillan, c1969 xxiii, 662 p. ; 26 cm
子書誌情報:
loading…
所蔵情報:
loading…
26.
図書
[by] Robert B. Ash
出版情報:
New York : Wiley, [1970] ix, 337 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
27.
図書
[by] A.W.F. Edwards
出版情報:
Cambridge [England] : Cambridge University Press, 1972 xv, 235 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
28.
図書
E.B. Dynkin ; A.A. Yushkevich, G.M. Seitz, A.L. Onishchik, editors
出版情報:
Providence, R.I. : American Mathematical Society , Cambridge, Mass. : International Press, c2000 xxvi, 798 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Lie groups and Lie algebras: Dynkin and Lie theory / G. M. SeitzPart I:
On the work of E. B. Dynkin in the theory of Lie groups / F. I. Karpelevich ; A. L. Onishchik ; E. B. Vinberg
Correction to On the work of E. B. Dynkin in the theory of Lie groups
Classification of simple Lie groups / E. B. Dynkin
Calculation of the coefficients in the Campbell-Hausdorff formula
The maximal subgroups of the classical groups
Comments on Maximal subgroups of the classical groups
Semisimple subalgebras of semisimple Lie algebras
Comments on the paper Semisimple subalgebras of semisimple Lie algebras
Construction of primitive cycles in compact Lie groups
Topological characteristics of homomorphisms of compact Lie groups
Comments on the paper Topological characteristics of homomorphisms of compact Lie groups
Dynkin and modern Lie theory / B. Kostant
Comments on the impact of Dynkin's work on current research in representation theory / D. A. Vogan
Coxeter-Dynkin diagrams and singularities / A. Gabrielov
Lie groups in physics / K. Gottfried
Dynkin diagrams in the physics of particles, fields and strings / Y. Ne'eman
Probability theory: Dynkin and probability theory / A. A. YushkevichPart II:
Necessary and sufficient statistics for a family of probability distributions
Some limit theorems for sums of independent random variables with infinite mathematical expectations
Markov processes and semigroups of operators
Strong Markov processes
Infinitesimal operators of Markov processes
The natural topology and excessive functions connected with a Markov process
Random walk on groups with a finite number of generators / M. B. Malyutov
The optimum choice of the instant for stopping a Markov process
Brownian motion in certain symmetric spaces and nonnegative eigenfunctions of the Laplace-Beltrami operator
Diffusion of tensors
Game variant of a problem on optimal stopping
Determining functions of Markov processes and corresponding dual regular classes / S. E. Kuznetsov
Economic equilibrium under uncertainty
Comments on Economic equilibrium under uncertainty / I. V. Evstigneev
Markov processes and random fields
Green's and Dirichlet spaces associated with fine Markov processes
Markov processes as a tool in field theory
Symmetric statistics, Poisson point processes, and multiple Wiener integrals / A. Mandelbaum
Gaussian and non-Gaussian random fields associated with Markov processes
Author's correction to Guassian and non-Gaussian random fields associated with Markov processes.
An application of flows to time shift and time reversal in stochastic processes
Author's comments on An application of flows to time shift and time reversal in stochastic processes
Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times
A probabilistic approach to one class of nonlinear differential equations
Superdiffusions and parabolic nonlinear differential equations
Comments on Superdiffusions and parabolic nonlinear differential equations
Dynkin and the theory of Markov processes / P. A. Meyer
To the history of strong Markov property
On compactifications of symmetric spaces / M. A. Olshanetsky
Dynkin's contributions to superprocesses and partial differential equations / J.-F. Le Gall
Dynkin's work in mathematical economics
Acknowledgments
Lie groups and Lie algebras: Dynkin and Lie theory / G. M. SeitzPart I:
On the work of E. B. Dynkin in the theory of Lie groups / F. I. Karpelevich ; A. L. Onishchik ; E. B. Vinberg
Correction to On the work of E. B. Dynkin in the theory of Lie groups
29.
図書
[by] Aram J. Thomasian
出版情報:
New York : McGraw-Hill, c1964 371 p ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
30.
図書
edited by Isaac Elishakoff
31.
図書
K. Hinderer
出版情報:
Berlin ; New York : Springer-Verlag, 1972 vii, 247 p. ; 26 cm
シリーズ名:
Hochschultext
子書誌情報:
loading…
所蔵情報:
loading…
32.
図書
Rodrigo Bañuelos, Charles N. Moore
33.
図書
Maury Bramson, Rick Durrett, editors
34.
図書
A.A. Borovkov
出版情報:
Australia ; Amsterdam : Gordon & Breach, c1998 x, 474 p. ; 26 cm
子書誌情報:
loading…
所蔵情報:
loading…
35.
図書
by Harold Jeffreys
36.
図書
David Stirzaker
出版情報:
New York : Cambridge University Press, 1999 xii, 368 p. ; 26 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction / 1:
Probability / Part A:
The rules of probability / 2:
Counting and gambling / 3:
Distributions: trials, samples and approximation / 4:
Random Variables / Part B:
Random variables and their distributions / 5:
Jointly distributed random variables / 6:
Generating functions / 7:
Appendix: hints and solutions for selected exercises and problems / 8:
Introduction / 1:
Probability / Part A:
The rules of probability / 2:
37.
図書
[by] James R. McCord, III [and] Richard M. Moroney, Jr
出版情報:
New York : Macmillan, [1964] xvi, 232 p ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
38.
図書
Isaac Elishakoff
出版情報:
Mineola, NY : Dover Publications, 1999 xvi, 492 p. ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
39.
図書
Hideo Tanaka, Peijun Guo
40.
図書
James R. Gray
41.
図書
Ю.В. Прохоров, Ю.А. Розанов
42.
図書
Gregory F. Lawler, Lester N. Coyle
43.
図書
Achintya Haldar, Sankaran Mahadevan
出版情報:
New York ; Chichester : Wiley, c2000 xvi, 304 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Basic Concept of Reliability
Mathematics of Probability
Modeling of Uncertainty
Commonly Used Probability Distributions
Determination of Distributions and Parameters from Observed Data
Randomness in Response Variables
Fundamentals of Reliability Analysis
Advanced Topics on Reliability Analysis
Simulation Techniques
Appendices
Conversion Factors
References
Index
Basic Concept of Reliability
Mathematics of Probability
Modeling of Uncertainty
44.
図書
J.L. Hodges, Jr. and E.L. Lehmann
45.
図書
В.С. Пугачев
出版情報:
Москва : Изд-во "Наука", Глав. ред. физико-математической лит-ра, 1968 368 p. ; 21 cm
子書誌情報:
loading…
所蔵情報:
loading…
46.
図書
by L.Z. Rumshiskii ; translated from the Russian by D.M.G. Wishart
出版情報:
Oxford ; New York : Pergamon Press, 1965 xi, 160 p ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
47.
図書
William Mendenhall
出版情報:
Boston : Duxbury Press, c1987 xvi, 783, 100 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction: An Invitation to Statistics
The Population and the Sample
Descriptive and Inferential Statistics
Achieving the Objective of Inferential Statistics: The Necessary Steps
Describing Data with Graphs / 1:
Variables and Data / 1.1:
Types of Variables / 1.2:
Graphs for Categorical Data / 1.3:
Graphs for Quantitative Data / 1.4:
Relative Frequency Histograms / 1.5:
Describing Data with Numerical Measures / 2:
Describing a Set of Data with Numerical Measures / 2.1:
Measures of Center / 2.2:
Measures of Variability / 2.3:
On the Practical Significance of the Standard Deviation / 2.4:
A Check on the Calculation of s / 2.5:
Measures of Relative Standing / 2.6:
The Five-Number Summary and the Box Plot / 2.7:
Describing Bivariate Data / 3:
Bivariate Data / 3.1:
Graphs for Qualitative Variables / 3.2:
Scatterplots for Two Quantitative Variables / 3.3:
Numerical Measures for Quantitative Bivariate Data / 3.4:
Probability and Probability Distributions / 4:
The Role of Probability in Statistics / 4.1:
Events and the Sample Space / 4.2:
Calculating Probabilities Using Simple Events / 4.3:
Useful Counting Rules (Optional) / 4.4:
Event Relations and Probability Rules / 4.5:
Conditional Probability, Independence, and the Multiplicative Rule / 4.6:
Bayes' Rule (Optional) / 4.7:
Discrete Random Variables and Their Probability Distributions / 4.8:
Several Useful Discrete Distributions / 5:
Introduction / 5.1:
The Binomial Probability Distribution / 5.2:
The Poisson Probability Distribution / 5.3:
The Hypergeometric Probability Distribution / 5.4:
The Normal Probability Distribution / 6:
Probability Distributions for Continuous Random Variables / 6.1:
Tabulated Areas of the Normal Probability Distribution / 6.2:
The Normal Approximation to the Binomial Probability Distribution (Optional) / 6.4:
Sampling Distributions / 7:
Sampling Plans and Experimental Designs / 7.1:
Statistics and Sampling Distributions / 7.3:
The Central Limit Theorem / 7.4:
The Sampling Distribution of the Sample Mean / 7.5:
The Sampling Distribution of the Sample Proportion / 7.6:
A Sampling Application: Statistical Process Control (Optional) / 7.7:
Large-Sample Estimation / 8:
Where We've Been / 8.1:
Where We're Going--Statistical Inference / 8.2:
Types of Estimators / 8.3:
Point Estimation / 8.4:
Interval Estimation / 8.5:
Estimating the Difference between Two Population Means / 8.6:
Estimating the Difference between Two Binomial Proportions / 8.7:
One-Sided Confidence Bounds / 8.8:
Choosing the Sample Size / 8.9:
Large-Sample Tests of Hypotheses / 9:
Testing Hypotheses about Population Parameters / 9.1:
A Statistical Test of Hypothesis / 9.2:
A Large-Sample Test about a Population Mean / 9.3:
A Large-Sample Test of Hypothesis for the Difference between Two Population Means / 9.4:
A Large-Sample Test of Hypothesis for a Binomial Proportion / 9.5:
A Large-Sample Test of Hypothesis for the Difference between Two Binomial Proportions / 9.6:
Some Comments on Testing Hypotheses / 9.7:
Inference from Small Samples / 10:
Student's t Distribution / 10.1:
Small-Sample Inferences Concerning a Population Mean / 10.3:
Small-Sample Inferences for the Difference between Two Population Means: Independent Random Samples / 10.4:
Small-Sample Inferences for the Difference between Two Means: A Paired-Difference Test / 10.5:
Inferences Concerning a Population Variance / 10.6:
Comparing Two Population Variances / 10.7:
Revisiting the Small-Sample Assumptions / 10.8:
The Analysis of Variance / 11:
The Design of an Experiment / 11.1:
What Is an Analysis of Variance? / 11.2:
The Assumptions for an Analysis of Variance / 11.3:
The Completely Randomized Design: A One-Way Classification / 11.4:
The Analysis of Variance for a Completely Randomized Design / 11.5:
Ranking Population Means / 11.6:
The Randomized Block Design: A Two-Way Classification / 11.7:
The Analysis of Variance for a Randomized Block Design / 11.8:
The a x b Factorial Experiment: A Two-Way Classification / 11.9:
The Analysis of Variance for an a x b Factorial Experiment / 11.10:
Revisiting the Analysis of Variance Assumptions / 11.11:
A Brief Summary / 11.12:
Linear Regression and Correlation / 12:
A Simple Linear Probabilistic Model / 12.1:
The Method of Least Squares / 12.3:
An Analysis of Variance for Linear Regression / 12.4:
Testing the Usefulness of the Linear Regression Model / 12.5:
Diagnostic Tools for Checking the Regression Assumptions / 12.6:
Estimation and Prediction Using the Fitted Line / 12.7:
Correlation Analysis / 12.8:
Multiple Regression Analysis / 13:
The Multiple Regression Model / 13.1:
A Multiple Regression Analysis / 13.3:
A Polynomial Regression Model / 13.4:
Using Quantitative and Qualitative Predictor Variables in a Regression Model / 13.5:
Testing Sets of Regression Coefficients / 13.6:
Interpreting Residual Plots / 13.7:
Stepwise Regression Analysis / 13.8:
Misinterpreting a Regression Analysis / 13.9:
Steps to Follow When Building a Multiple Regression Model / 13.10:
Analysis of Categorical Data / 14:
A Description of the Experiment / 14.1:
Pearson's Chi-Square Statistic / 14.2:
Testing Specified Cell Probabilities: The Goodness-of-Fit Test / 14.3:
Contingency Tables: A Two-Way Classification / 14.4:
Comparing Several Multinomial Populations: A Two-Way Classification with Fixed Row or Column Totals / 14.5:
The Equivalence of Statistical Tests / 14.6:
Other Applications of the Chi-Square Test / 14.7:
Nonparametric Statistics / 15:
The Wilcoxon Rank Sum Test: Independent Random Samples / 15.1:
The Sign Test for a Paired Experiment / 15.3:
A Comparison of Statistical Tests / 15.4:
The Wilcoxon Signed-Rank Test for a Paired Experiment / 15.5:
The Kruskal-Wallis H Test for Completely Randomized Designs / 15.6:
The Friedman F[subscript r] Test for Randomized Block Designs / 15.7:
Rank Correlation Coefficient / 15.8:
Summary / 15.9:
Appendix I
Cumulative Binomial Probabilities / Table 1:
Cumulative Poisson Probabilities / Table 2:
Areas under the Normal Curve / Table 3:
Critical Values of t / Table 4:
Critical Values of Chi-Square / Table 5:
Percentage Points of the F Distribution / Table 6:
Critical Values of T for the Wilcoxon Rank Sum Test, n[subscript 1] [less than or equal] n[subscript 2] / Table 7:
Critical Values of T for the Wilcoxon Signed-Rank Test, n = 5(1)50 / Table 8:
Critical Values of Spearman's Rank Correlation Coefficient for a One-Tailed Test / Table 9:
Random Numbers / Table 10:
Percentage Points of the Studentized Range, q[subscript [alpha](k, df) / Table 11:
Answers to Selected Exercises
Index
Credits
Introduction: An Invitation to Statistics
The Population and the Sample
Descriptive and Inferential Statistics
48.
図書
Abraham Boyarsky, Pawel Góra
49.
図書
Hugh Gordon
50.
図書
George R. Cooper, Clare D. McGillem
目次情報:
続きを見る
Preface
Introduction to Probability / 1:
Random Variables / 2:
Several Random Variables / 3:
Elements of Statistics / 4:
Random Processes / 5:
Correlation Functions / 6:
Spectral Density / 7:
Response Of Linear Systems To Random Inputs / 8:
Optimum Linear Systems / 9:
Mathematical Tables / Appendix A:
Frequently Encountered Probability Distributions / Appendix B:
Binomial Coefficients / Appendix C:
Normal Probability Distribution Function / Appendix D:
The Q-Function / Appendix E:
Student's t Distribution Function / Appendix F:
Computer Programs For Estimating Correlation Functions and Spectral Density / Appendix G:
Table of Correlation Function-Spectral Density Pairs / Appendix H:
!c Contour Integration / Appendix I:
Selected Answers / Appendix J:
Preface
Introduction to Probability / 1:
Random Variables / 2:
51.
図書
Boris V. Gnedenko ; translated from the Russian by Igor A. Ushakov
出版情報:
Amsterdam : Gordon & Breach, 1997 xxi, 497 p ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Random Events and Their Probabilities / 1:
Sequences in Independent Trials / 2:
Markov Chains / 3:
Random Valuables and Distribution Functions / 4:
Numberical Characteristics of Random Variables / 5:
The Law of Large Numbers / 6:
Characteristic Functions / 7:
The Classical Limit Theorem / 8:
The Theory of Infinitely Divisible Distributions / 9:
The Theory of Stochastic Processes / 10:
The Elements of StatisticsAppendix / 11:
Random Events and Their Probabilities / 1:
Sequences in Independent Trials / 2:
Markov Chains / 3:
52.
図書
by H. Levy and L. Roth
出版情報:
Oxford : at the Clarendon Press, 1936 x, 200 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
53.
図書
Robert Bartoszyński and Magdalena Niewiadomska-Bugaj
目次情報:
続きを見る
Experiments, Sample Spaces, and Events
Probability
Combinatorial Probability
Conditional Probability
Independence
Markov Chains*
Random Variables: Univariate Case
Random Variables: Multivariate Case
Expectation
Some Probability Models
Limit Theorems
Outline of Inferential Statistics
Estimation
Testing Statistical Hypotheses
Discrimination*
Linear Models
Rank Methods
Analysis of Categorical Data
Appendices
Index
Experiments, Sample Spaces, and Events
Probability
Combinatorial Probability
54.
図書
Laurent Schwartz ; notes by Paul R. Chernoff
55.
図書
J.P. [sic] Bickel, N. El Karoui, M. Yor ; edité par P.L. Hennequin
目次情報:
Quelques aspects de la statistique robuste / J.P. [sic] Bickel
Les aspects probabilistes du contrôle stochastique / N. El Karoui
Sur la théorie du filtrage / M. Yor
Quelques aspects de la statistique robuste / J.P. [sic] Bickel
Les aspects probabilistes du contrôle stochastique / N. El Karoui
Sur la théorie du filtrage / M. Yor
56.
図書
[par] A. Rényi ... Avec un appendice sur la théorie de l'information. Traduit par C. Bloch ...
57.
図書
Vladimir N. Sachkov
目次情報:
続きを見る
Preface
Preface to the English edition
Introduction
Relevant elements from probability theory / 1:
Combinatorial properties or random nonnegative matrices / 2:
Probabilistic problems in the general combinatorial scheme / 3:
Random partitions of sets / 4:
Random permutations / 5:
Random graphs and random mappings / 6:
Bibliography
Index
Preface
Preface to the English edition
Introduction
58.
図書
John J. Kinney
出版情報:
New York : John Wiley & Sons, c1997 xiv, 513 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Sample Spaces and Random Variables
Discrete Random Variables and Probability Distributions
Continuous Random Variables and Probability Distributions
Functions of Random Variables, Generating Functions, and Statistical Applications
Bivariate Probability Distributions
Recursions and Markov Chains
Bibliography
Appendices
Index
Sample Spaces and Random Variables
Discrete Random Variables and Probability Distributions
Continuous Random Variables and Probability Distributions
59.
図書
Bert Fristedt, Lawrence Gray
目次情報:
続きを見る
List of Tables
Preface
Probability Spaces, Random Variables, and Expectations / Part I:
Probability Spaces
Random Variables
Distribution Functions
Expectations: Theory
Expectations: Applications
Calculating Probabilities and Measures
Measure Theory: Existence and Uniqueness
Integration Theory
Independence and Sums / Part 2:
Stochastic Independence
Sums of Independent Random Variables
Random Walk
Theorems of A.S. Convergence
Characteristic Functions
Convergence in Distribution / Part 3:
Convergence in Distribution on the Real Line
Distributional Limit Theorems for Partial Sums
Infinitely Divisible and Stable Distributions as Limits
Convergence in Distribution on Polish Spaces
The Invariance Principle and Brownian Motion
Conditioning / Part 4:
Spaces of Random Variables
Conditional Probabilities
Construction of Random Sequences
Conditional Expectations
Random Sequences / Part 5:
Martingales
Renewal Sequences
Time-homogeneous Markov Sequences
Exchangeable Sequences
Stationary Sequences
Stochastic Processes / Part 6:
Point Processes
Diffusions and Stochastic Calculus
Applications of Stochastic Calculus
Appendices / Part 7:
Notation and Usage of Terms
Metric Spaces
Topological Spaces
Riemann-Stieltjes Integration
Taylor Approximations, C-Valued Logarithms
Bibliography
Comments and Credits
Index
List of Tables
Preface
Probability Spaces, Random Variables, and Expectations / Part I:
60.
図書
J. Michael Steele
目次情報:
続きを見る
Preface
First View of Problems and Methods / Chapter 1:
A first example: Long common subsequences
Subadditivity and expected values
AzumaG++s inequality and a first application
A second example: The increasing-subsequence problem
Flipping AzumaG++s inequality
Concentration on rates
Dynamic programming
KingmanG++s subadditive ergodic theorem
Observations on subadditive subsequences
Additional notes
Concentration of Measure and the Classical Theorems / Chapter 2:
The TSP and quick application of AzumaG++s inequality
Easy size bounds
Another mean Poissonization
The Beardwood-Halton-Hammersly theorem
KarpG++s partitioning algorithms
Introduction to space-filling curve heuristic
Asymptotics for the space-filling curve heuristic
More General Methods / Chapter 3:
Subadditive Euclidean functionals
Examples: Good, bad and forthcoming
A general L-(infinity) bound
Simple subadditivity and geometric subadditivity
A concentration inequality
Minimal matching
Two-sided bounds and first consequences
Rooted duals and their applications
Lower bounds and best possibilities
Additional remarks
Probability in Greedy Algorithms and Linear Programming / Chapter 4:
Assignment problem
Simplex method for theoreticians
Dyer-Frieze-McDiarmid inequality
Dealing with integral constraints
Distributional bounds
Back to the future
Distributional Techniques and the Objective Method / Chapter 5:
Motivation for a method
Searching for a candidate object
Topology for nice sets
Information on the infinite tree
D+1/4noument
Central limit theory
Conditioning method for independence
Dependency graphs and the CLT
TalagrandG++s Isoperimetric Theory / Chapter 6:
TalagrandG++s isoperimetric theory
Two geometric applications of the isoperimetric inequality
Application to the longest-increasing-subsequence problem
Proof of the isoperimetric problem
Application and comparison in the theory of hereditary sets
Suprema of linear functionals
Tail of the assignment problem
Further applications of TalagrandG++s isoperimetric inequalities
Final considerations on related work
Bibliography
Index
Preface
First View of Problems and Methods / Chapter 1:
A first example: Long common subsequences
61.
図書
Glenn Shafer
62.
図書
Richard Isaac
63.
図書
A. A. Borowkow ; in deutscher Sprache hrsg. von Peter Franken ; [Deutsche Übersetzung, Egmar Rödel. Hans Kühne]
64.
図書
edited by J. Laurie Snell
65.
図書
David Applebaum
出版情報:
Cambridge, England ; New York : Cambridge University Press, 1996 xiii, 212 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Introduction / 1:
Combinatorics / 2:
Sets and measures / 3:
Probability / 4:
Discrete random variables / 5:
Information and entropy / 6:
Communication / 7:
Random variables with probability density functions / 8:
Random vectors / 9:
Exploring further
Proof by induction / Appendix 1:
Lagrange multipliers / Appendix 2:
Integration of exp(-x2/2) / Appendix 3:
Table of probabilities associated with the standard normal distribution / Appendix 4:
Solutions to selected exercises
Preface
Introduction / 1:
Combinatorics / 2:
66.
図書
W.A. Thompson, Jr
67.
図書
Michel Simonnet ; foreword by Charles-Michel Marle
出版情報:
New York ; Tokyo : Springer, c1996 xiii, 510 p. ; 24 cm
シリーズ名:
Universitext
子書誌情報:
loading…
所蔵情報:
loading…
68.
図書
John W. Lamperti
69.
図書
Glenn Shafer
目次情報:
続きを見る
Preface
Multivariate Probability / 1:
Probability Distributions
Marginalization
Conditionals
Continuation
Posterior Distributions
Expectation
Classifying Probability Distributions
A Limitation
Construction Sequences / 2:
Multiplying Conditionals
DAGs and Belief Nets
Bubble Graphs
Other Graphical Representations
Propagation in Join Trees / 3:
Variable-by-Variable Summing Out
The Elementary Architecture
The Shafer-Shenoy Architecture
The Lauritzen-Spiegelhalter Architecture
The Aalborg Architecture
Collect and Distribute
Scope and Alternatives
Resources and References / 4:
Meetings
Software
Books
Review Articles
Other Sources
Index
Preface
Multivariate Probability / 1:
Probability Distributions
70.
図書
Heinz Bauer ; translated from the German by Robert B. Burckel
71.
図書
Luc Devroye, László Györfi, Gábor Lugosi
72.
図書
James J. Higgins, Sallie Keller-McNulty
出版情報:
Belmont : Duxbury Press, c1995 xi, 420 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Basic Probability / 1:
Discrete Random Variables / 2:
Special Discrete Random Variables / 3:
Markov Chains / 4:
Continuous Random Variables / 5:
Special Continuous Random Variables / 6:
Markov Counting and Queuing Processes / 7:
The Distribution of Sums of Random Variables / 8:
Selected Systems Models / 9:
Reliability Models Appendix / 10:
References
Answers to Selected Odd-Numbered Exercises
Basic Probability / 1:
Discrete Random Variables / 2:
Special Discrete Random Variables / 3:
73.
図書
Diego Bricio Hernández
74.
図書
Marcel F. Neuts
出版情報:
London ; New York : Chapman & Hall, 1995 xii, 465 p. ; 24 cm
シリーズ名:
Stochastic modeling
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Computational Probability: An Introduction
Solving Equations
Functions of Random Variables
Discrete-Time Markov Chains
Continuous-Time Markov Chains
Experimentation and Visualization
References
Some Topics from Matrix Analysis / Appendix 1:
Phase-Type Distibutions / Appendix 2:
The Markovian Arrival Process / Appendix 3:
Solution to Selected Problems
Index
Preface
Computational Probability: An Introduction
Solving Equations
75.
図書
Allan Gut
出版情報:
New York ; Tokyo : Springer-Verlag, c1995 xiii, 278 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
76.
図書
edited by I. A. Ibragimov and A. Yu. Zaitsev
出版情報:
Amsterdam, the Netherlands : Gordon and Breach, c1996 vi, 321 p. ; 26 cm
子書誌情報:
loading…
所蔵情報:
loading…
77.
図書
R. Dobrushin, P. Groeneboom, M. Ledoux ; editor, P. Bernard
78.
図書
edited by James W. Provan
79.
図書
Kiyosi Itô
出版情報:
Cambridge [Cambridgeshire] : Cambridge University Press, 1984 x, 213 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Notation and abbreviations
Finite trials / 1:
Probability spaces / 1.1:
Real random variables and random vectors / 1.2:
Mixing, direct composition, and tree composition / 1.3:
Conditional probabilities / 1.4:
Independence / 1.5:
Independent random variables / 1.6:
The law of large numbers / 1.7:
Probability measures / 2:
General trials and probability measures / 2.1:
The extension theorem of probability measures / 2.2:
Direct products of probability measures / 2.3:
Standard probability spaces / 2.4:
One-dimensional distributions / 2.5:
Characteristic functions / 2.6:
The weak topology in the distributions / 2.7:
D-Dimensional distributions / 2.8:
Infinite-dimensional distributions / 2.9:
Fundamental concepts in probability theory / 3:
Separable perfect probability measures / 3.1:
Events and random variables / 3.2:
Decompositions and o-algebras / 3.3:
Conditional probability measures / 3.4:
Properties of conditional probability measures / 3.6:
Real random variables / 3.7:
Conditional mean operators / 3.8:
Sums of independent random variables / 4:
General remarks / 4.1:
Convergent series of independent random variables / 4.2:
Central values and dispersions / 4.3:
Divergent series of independent random variables / 4.4:
Strong law of large numbers / 4.5:
Central limit theorems / 4.6:
The law of iterated logarithms / 4.7:
Gauss's theory of errors / 4.8:
Poisson's law of rare events / 4.9:
Index
Preface
Notation and abbreviations
Finite trials / 1:
80.
図書
A.N. Shiryayev ; translated by R.P. Boas
81.
図書
Tatsuo Kawata
82.
図書
Yu.V. Prohorov, Yu.A. Rozanov ; translated by K. Krickeberg and H. Urmitzer
83.
図書
Joseph P. Romano, Andrew F. Siegel
84.
図書
Edward B. Haugen
出版情報:
New York : Wiley, c1980 xxii, 626 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
85.
図書
Glenn Shafer
出版情報:
Princeton, N.J. : Princeton University Press, c1976 xiii, 297 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
86.
図書
edited by Gian-Carlo Rota
87.
図書
Gábor J. Székely ; [translated by Márta Alpár and Éva Unger]
88.
図書
Yan Shi-Jian, Yang Chung-Chun, Wang Jia-Gang, editors
目次情報:
続きを見る
Stochastic control systems / H.-F. Chen ; L. Guo
Jump processes and particle systems / M.-F. Chen ; S.-J. Yan
Multi-parameter stochastic processes / P.-D. Chen
Stationary random field: predication theory, Markov model, limit theorems / T.-P. Chiang
Some results of semimartingales and jump processes / S.-W. He ; J.-G. Wang
$Q$-matrix problem / Z.-T. Hou
Summary of recent research accomplishments in Markov processes and Markov fields at Wuhan University / D.-H. Hu ; L.-Q. Lu ; F.-Q. Gao
The study and developments of probability problems in information theory in China / G.-D. Hu ; Z.-Z. Zhang ; S.-Y. Shen
Some recent development of stochastic calculus in China / Z.-Y. Huang
Renewal sequences, $p$-functions, their extensions and the related topics / Z.-S. Liang ; Z.-R. Huang
Brownian motions and geometry of manifolds / M. Liao
Contribution to the limit theorems / Z.-Y. Lin ; C.-R. Lu ; Q.-M. Shao
Some new results concerning Dirichlet forms, Feynman-Kac semigroups and Schrodinger equations / Z.-M. Ma
The reversibility and the entropy production of Markov processes / M.-P. Qian ; G.-L. Gong ; M. Qian
Theory and applications of stochastic differential equations in China / R. Situ
Some recent results on the strong LLN and LIL in Banach spaces / Z.-Q. Wu ; X.-C. Wang ; X.-Y. Yang ; D.-L. Li
A review of studies in probability theory and stochastic analysis / J.-A. Yan
On symmetric diffusion processes / W.-A. Zheng
Stochastic control systems / H.-F. Chen ; L. Guo
Jump processes and particle systems / M.-F. Chen ; S.-J. Yan
Multi-parameter stochastic processes / P.-D. Chen
89.
図書
Rolando Chuaqui
出版情報:
Amsterdam ; New York : North-Holland , New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1991 xvii, 484 p. ; 25 cm
シリーズ名:
North-Holland mathematics studies ; 166
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
The Concept of Probability: The Problem of Foundations
Truth, Possibility, and Probability
Probability Models
Principles of Inference and Decision
A Medical Example
Elements of Probability Theory: Probability Theory
Disjunctive Spaces
Elements of Infinitesimal Analysis
Integration
Probability Distributions
Hyperfinite Random Processes
Probability Models: Simple Probability Structures
The Structure of Chance
Equiprobability Structures
Probability Structures
Examples of Probability Structures
Logical Probability
Statistical Inference and Decision Theory: Classical Statistical Inference
Problems in Statistical Inference
Decision Theory
Foundations of Nonstandard Analysis / Appendix A:
Extensions of Integrals and Measures / Appendix B:
Bibliography
The Concept of Probability: The Problem of Foundations
Truth, Possibility, and Probability
Probability Models
90.
図書
by Pavel Pták and Sylvia Pulmannová
91.
図書
[by] L. Daniel Massey
92.
図書
by P.M. Woodward
93.
図書
von Hermann Vetter
94.
図書
Irving, John Good
95.
図書
edited by Tadeusz Bromek and Elżbieta Pleszczyńska
96.
図書
Ramachandran Balasubrahmanyan, Ka-Sing Lau
97.
図書
by B.V. Gnedenko ; translated from Russian by B.D. Seckler
出版情報:
New York : Chelsea Pub., c1963 471 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
98.
図書
Rick Durrett, Harry Kesten, editors
99.
図書
Marc A. Berger
100.
図書
Rui Zong Yeh