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1.

図書
図書
1. Laws of chaos : invariant measures and dynamical systems in one dimension (: us ; : sz)
Abraham Boyarsky, Pawel Góra
出版情報: Boston, Mass : Birkhauser, c1997  xv, 399 p. ; 24 cm
シリーズ名: Probability and its applications
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2.

図書
図書
2. Discrete probability
Hugh Gordon
出版情報: New York : Springer, c1997  xii, 266 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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3.

図書
図書
3. Theory of probability. 6th ed
Boris V. Gnedenko ; translated from the Russian by Igor A. Ushakov
出版情報: Amsterdam : Gordon & Breach, 1997  xxi, 497 p ; 24 cm
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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：
4.

図書
図書
4. Probabilistic methods in combinatorial analysis
Vladimir N. Sachkov
出版情報: Cambridge, UK ; New York : Cambridge University Press, 1997  x, 246 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 56
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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
5.

図書
図書
5. Probability : an introduction with statistical applications (: cloth : alk. paper)
John J. Kinney
出版情報: New York : John Wiley & Sons, c1997  xiv, 513 p. ; 25 cm
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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
6.

図書
図書
6. A modern approach to probability theory (: us : hbk ; : sz : hbk)
Bert Fristedt, Lawrence Gray
出版情報: Boston : Birkhäuser, c1997  xx, 756 p. ; 25 cm
シリーズ名: Probability and its applications
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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：
7.

図書
図書
7. Probability theory and combinatorial optimization (: pbk)
J. Michael Steele
出版情報: Philadelphia : Society for Industrial and Applied Mathematics, c1997  viii, 159 p. ; 25 cm
シリーズ名: CBMS-NSF regional conference series in applied mathematics ; 69
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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
8.

図書
図書
8. 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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9.

図書
図書
9. An introduction to measure and probability
J.C. Taylor
出版情報: New York : Springer, c1997  xvii, 299 p. ; 24 cm
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