Front cover image for An introduction to probability theory and its applications

An introduction to probability theory and its applications

Vol. 2 has series: Wiley series in probability and mathematical statistics. Bibliographical footnotes. "Some books on cagnate subjects": v. 2, p. 615-616
Print Book, English, [1950-66]
Wiley, New York, [1950-66]
2 volumes : diagrams ; 24 cm.
853648
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 R¹
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
Vol. 2 has series: Wiley series in probability and mathematical statistics. Probability and mathematical statistics
Includes index