Record Display for the EPA National Library Catalog
RECORD NUMBER: 21 OF 361Main Title | An introduction to probability theory and its applications / | ||||||||||||||||
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Author | Feller, William, | ||||||||||||||||
Publisher | Wiley, | ||||||||||||||||
Year Published | 1950 | ||||||||||||||||
OCLC Number | 00853648 | ||||||||||||||||
Subjects | Probabilities ; Waarschijnlijkheidstheorie ; Probabilidade (Estatistica) ; Probabilidade E Estatistica ; Fundamentos E Calculo (Probabilidade) ; Probabilitš ; Probability | ||||||||||||||||
Additional Subjects | Probabilities | ||||||||||||||||
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Collation | 2 volumes : diagrams ; 24 cm. | ||||||||||||||||
Notes | Vol. 2 has series: Wiley series in probability and mathematical statistics. Includes index. Bibliographical footnotes. "Some books on cagnate subjects": v. 2, p. 615-616. |
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Contents Notes | vol. I. The sample space -- Elements of combinatorial analysis. Stirling's formula -- The simplest occupancy and ordering problems -- Combination of events -- Conditional probability. Statistical 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 -- Recurrent events: theory -- Recurrent events: applications to runs and renewal theory -- Random walk and ruin problems -- Markov chains -- Algebraic treatment of finite Markov chains -- The simplest time-dependent stochastic processes -- vol. II. The exponential and the uniform densities -- Special densities. Randomization -- Densities in higher dimensions. Normal densities and processes -- Probability measures and spaces -- Probability distributions in R[superscript r] -- A survey of some important distributions and processes -- Laws of large numbers. Applications in analysis -- The basic limit theorems -- Infinitely divisible distributions and semi-groups -- Markov processes and semi-groups -- Renewal theory -- Random walks in Rp1s -- Laplace transforms. Tauberian theorems. Resolvents -- Applications of Laplace transforms -- Characteristic functions -- Expansions related to the central limit theorem -- Infinitely divisible distributions -- Applications of Fourier methods to random walks -- Harmonic analysis. |