An introduction to probability theory and its applications : Volume I

An introduction to probability theory and its applications : Volume I

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Auteur principal : Feller Vilim (Auteur)
Format : Livre
Langue : anglais
Titre complet : An introduction to probability theory and its applications. Volume I / William Feller,...
Édition : 2nd edition
Publié : New York, London : John Wiley & sons , copyright 1957
Chapman & Hall
Description matérielle : 1 vol. (XV-461 p.)
Collection : Wiley Publications in Statistics Walter A. Shewhart, ed
Sujets :
Loi binomiale
Analyse combinatoire
Markov, Processus de
Renouvellement, Théorie du
Probabilités > Manuels d'enseignement supérieur
  • Introduction : the nature of probability theory
  • I, The sample space
  • II, Elements of combinatorial analysis
  • III, Fluctuations in coin tossing and random walks
  • IV, Combination of events
  • V, Conditional probability. Stochastic independence
  • VI, The binomial and the Poisson distributions
  • VII, The normal approximation to the binomial distribution
  • VIII, Unlimited sequences of Bernoulli trials
  • IX, Random variables ; expectation
  • X, Laws of large numbers
  • XI, Integral valued variables. Generating functions
  • XII, Compound distributions. Branching processes
  • XIII, Recurrent events. The renewal equation
  • XIV, Random walk and ruin problems
  • XV, Markov chains
  • XVI, Algebraic treatment of finite Markov chains
  • XVII, The simplest time-dependent stochastic processes