Encyclopedia > Bernoulli process

  Article Content

Bernoulli process

In probability and statistics, a Bernoulli process or a Bernoulli experiment is a stochastic process consisting of finite or infinite sequence of independent random variables X1, X2, X3,..., such that

  • For each i, the value of Xi is either 0 or 1;
  • For all values of i, the probability that Xi=1 is the same number p.
The two possible values of each Xi are often called "success" and "failure", so that, when expressed as a number, 0 or 1, the value is said to be the number of successes on the ith "trial". The individual success/failure variables Xi are also called Bernoulli trials.

Random variables associated with the Bernoulli process include



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Springs, New York

... versus $32,107 for females. The per capita income for the town is $29,910. 8.7% of the population and 6.7% of families are below the poverty line. Out of the tota ...

 
 
 
This page was created in 21.7 ms