Elementary Probability Theory with Stochastic Processes
This book provides an elementary introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, amply motivated, explained and illustrated with a large number of carefully selected samples. The fourth edition adds material related to mathematical finance, as well as expansions on stable laws and martingales.
29 pages matching subset in this book
Results 1-3 of 29
What people are saying - Write a review
We haven't found any reviews in the usual places.
answer apply arbitrary argument assume Axiom ball drawn binomial binomial coefficients black balls calculus called cards central limit theorem Chapter coin compute conditional probability consider converges countable counting course defined definition denote density function discussed disjoint distribution function drawing equal equation event exactly Example expected number Find finite follows formula given Hence Hint independent random variables infinite integers interval large numbers law of large Markov chain Markov property means multinomial distribution namely normal distribution notation Observe obtain outcomes pair particle permutations Poisson distribution Poisson process possible proba probability distribution probability measure probability theory problem proof Proposition random walk real numbers recurrent red balls replaced result sample point sample space sequence step stochastic subset Suppose tion tokens tossed total number transition matrix trials zero