An Introduction to Probability Theory and Its Applications, Volume 2Wiley, 1950 - Probabilities |
Contents
CHAPTER | 1 |
The Persistence of Bad Luck | 16 |
Random Splittings | 25 |
Copyright | |
75 other sections not shown
Other editions - View all
An Introduction to Probability Theory and Its Applications, Volume 2 William Feller Limited preview - 1991 |
Common terms and phrases
a₁ applies arbitrary argument assume atoms b₁ Baire functions Borel sets bounded Cauchy characteristic function common distribution concentrated conditional probability consider continuous function convergence convolution coordinate variables covariance defined definition denote density f derived distribution F distribution function epoch equals example exists exponential distribution F{dx F₁ fixed follows formula Fourier given hence implies independent random variables independent variables inequality infinitely divisible integral ladder Laplace transform lemma Let F limit theorem linear Markov Markovian martingale matrix measure monotone mutually independent normal density normal distribution notation o-algebra parameter Poisson process positive probabilistic probability distribution probability space problem proof prove random walk renewal process S₁ sample space satisfies semi-group sequence shows solution stable distributions stationary stochastic processes symmetric tends theory uniform distribution unique variance vector X₁ X₂ Y₁ Y₂ zero expectation