An Introduction to Probability Theory and Its Applications, Volumen 1The nature of probability theory. The sample space. Elements of combinatorial analysis. Fluctuations in coin tossing and random walks. Combination of events. Conditional probability, stochastic independence. The binomial and the Poisson distributions. The Normal approximation to the binomial distribution. Unlimited sequences of Bernoulli trials. Random variables, expectation. Laws of large numbers. Integral valued variables, generating functions. Compound distributions. Branching processes. Recurrent events. Renewal theory. Random walk and ruin problems. Markov chains. Algebraic treatment of finite Markov chains. The simplest time-dependent stochastic processes. Answer to problems. Index. |
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Reseña de usuario - bluetyson - LibraryThingA really, reall dull mathematics text. An important book, but this one you will not be pleased with having to read, or at least I never came across anyone that was, when I had to use it. Highly detailed and quite complex look at the probability subject for the tertiary level beginner. Leer reseña completa
Índice
chapter page | 1 |
The Sample Space | 7 |
Elements of Combinatorial Analysis | 26 |
Página de créditos | |
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An Introduction to Probability Theory and Its Applications, Volumen 2 William Feller Vista de fragmentos - 1971 |
Términos y frases comunes
applies approximation arbitrary assume balls Bernoulli trials binomial distribution calculate cards cells central limit theorem chapter closed set coefficients coin conditional probability consider contains corresponding defined derived differential equations elements exactly example exists Find the probability finite fixed follows function gene genotypes geometric geometric distribution given hence independent random variables inequality infinite interval intuitive large numbers law of large Markov chain mathematical matrix means method negative binomial distribution nth trial number of successes occurs particle paths player Pn(t Poisson distribution population possible prob probability distribution problem proof prove random walk recurrent events replacement roots run of length sample points sample space sequence of Bernoulli solution statistics Stirling's formula stochastic stochastically independent Suppose theory tion tossing transient transition probabilities trials number values variance x-axis zero
Información bibliográfica
| Título | An Introduction to Probability Theory and Its Applications, Volumen 1 An Introduction to Probability Theory and Its Applications, William Feller Wiley Series in Probability and Statistics Wiley mathematical statistics series Wiley publications in statistics Wiley series in probability and mathematical statistics: Probability and mathematical statistics, ISSN 0271-6232 |
| Autor | William Feller |
| Edición | 3, reimpresa, revisada |
| Editor | Wiley, 1967 |
| Procedencia del original | Universidad de California |
| Digitalizado | 16 Mar 2011 |
| N.º de páginas | 528 páginas |
| Exportar cita | BiBTeX EndNote RefMan |