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 argument assume asymptotic atoms backward equation Baire functions Borel sets bounded central limit theorem characteristic function common distribution condition consider continuous function convergence convolution defined definition denote density f derived distribution F distribution function equals example exists exponential distribution F{dx finite interval fixed follows formula Fourier given hence implies independent random variables inequality infinitely divisible integral ladder Laplace transform left side lemma Let F limit distribution Markov martingale matrix measure monotone mutually independent normal density normal distribution notation o-algebra operator parameter 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 tends theory transition probabilities uniformly variance vector X₁ Y₁ zero expectation