Bernoulli distribution

plural Bernoulli distributions

1. mathematicsA discrete probability distribution that represents the result of a single trial, taking value 1 with "success" probability p and value 0 with "failure" probability q=1-p.

   A critical factor in the use of Bernoulli distributions is that the parameters of the distribution are known constants.

   1985, R. R. Kinnison, Applied Extreme Value Statistics, Battelle Press, page 26

   2 more examples

   1977 [Wiley], Jean Dickinson Gibbons, Ingram Olkin, Milton Sobel, Selecting and Ordering Populations, 1999, Society for Industrial and Applied Mathematics, Unabridged corrected republication, page 103, Since both of these distributions involve the same parameter p, the problem under consideration here may be called either selection of the best Bernoulli distribution or selection of the best binomial distribution.

   2000, A. Berny, Selection and Reinforcement Learning for Combinatorial Optimization, Marc Schoenauer, Kalyanmoy Deb, Günther Rudolph, Xin Yao, Evelynne Lutton, Juan Julian Merelo, Hans-Paul Schwefel (editors), Parallel Problem Solving from Nature-PPSN VI, 6th International Conference Proceedings, Springer, page 601, In this paper however, we will only consider the family of Bernoulli distributions.