An Introduction to Probability Theory and Its Applications, Volume 2Wiley, 1950 - Probabilities Vol. 2 has series: Wiley series in probability and mathematical statistics. Bibliographical footnotes. "Some books on cagnate subjects": v. 2, p. 615-616. |
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An Introduction to Probability Theory and Its Applications, Volume 2 William Feller Limited preview - 1991 |
Common terms and phrases
a₁ applies arbitrary assume asymptotic atoms backward equation Baire functions Borel sets bounded central limit theorem characteristic function common distribution compound Poisson condition consider continuous function convergence convolution defined definition denote derived distribution F distribution function example exists exponential distribution F{dx F{dy finite interval fixed follows formula Fourier given hence implies independent random variables inequality infinitely divisible integral Laplace transform law of large left side lemma Let F limit distribution limit theorem Markov martingale matrix measure mutually independent normal density normal distribution notation o-algebra obvious operator Poisson process positive probabilistic probability distribution problem proof prove random walk renewal epochs renewal equation renewal process S₁ sample space satisfies semi-group sequence shows solution stable distributions stochastic stochastic kernel stochastic processes symmetric T₁ tends theory transition probabilities uniformly unique variance vector X₁ Y₁ zero expectation