Basic Probability Theory
by Robert B. Ash
Publisher: Dover Publications 2008
Number of pages: 352
This introductory text surveys random variables, conditional probability and expectation, characteristic functions, infinite sequences of random variables, Markov chains, and an introduction to statistics. Geared toward advanced undergraduates and graduate students. The text does not require measure theory, but underlying measure-theoretic ideas are sketched.
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by Leif Mejlbro - BookBoon
Contents: Some theoretical background; Exponential Distribution; The Normal Distribution; Central Limit Theorem; Maxwell distribution; Gamma distribution; Normal distribution and Gamma distribution; Convergence in distribution; 2 distribution; etc.
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This book is concerned with certain aspects of discrete probability on infinite graphs that are currently in vigorous development. Of course, finite graphs are analyzed as well, but usually with the aim of understanding infinite graphs and networks.
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The book is addressed to readers familiar with applied mathematics at the advanced undergraduate level. The text is concerned with probability theory and all of its mathematics, but now viewed in a wider context than that of the standard textbooks.
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This book contains a discussion of the laws of luck, coincidences, wagers, lotteries and the fallacies of gambling, notes on poker and martingales, explaining in detail the law of probability, the types of gambling, classification of gamblers, etc.