Counterexamples in probability
著者
書誌事項
Counterexamples in probability
（Wiley series in probability and mathematical statistics, . Probability and statistics）
John Wiley & Sons, c1997
2nd ed
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注記
Includes bibliographical references (p. [317]-338) and index (p. [339]-342)
内容説明・目次
内容説明
This expanded edition includes many new examples and latest research results. Counterexamples (in the usual mathematical sense) are powerful tools of mathematical theory. This book contains counterexamples from probability theory and stochastic processes.
目次
Partial table of contents: CLASSES OF RANDOM EVENTS AND PROBABILITIES. Classes of Random Events. Independence of Random Events. RANDOM VARIABLES AND BASIC CHARACTERISTICS. Distribution Functions of Random Variables. Expectations and Conditional Expectations. Characteristic and Generating Functions. Infinitely Divisible and Stable Distributions. The Moment Problem. Diverse Properties of Random Variables. LIMIT THEOREMS. Laws of Large Numbers. Weak Convergence of Probability Measures and Distributions. STOCHASTIC PROCESSES. Basic Notions on Stochastic Processes. Markov Processes. Poisson Process and Wiener Process. Supplementary Remarks. References. Index.
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