Bernoulli sampling

In the theory of finite population sampling, Bernoulli sampling is a sampling process where each element of the population that is sampled is subjected to an independent Bernoulli trial which determines whether the element becomes part of the sample during the drawing of a single sample. An essential property of Bernoulli sampling is that all elements of the population have equal probability of being included in the sample during the drawing of a single sample.

Bernoulli sampling is therefore a special case of Poisson sampling, where each element of the population may have a different probability of being included in the sample.

Because each element of the population is considered separately for the sample, the sample size is not fixed but rather follows a binomial distribution.

See also

• Poisson sampling
• Poisson distribution
• Bernoulli trial
• Bernoulli distribution
• Bernoulli process
• Sampling design

Further reading

• Sarndal, Swenson, and Wretman (1992), Model Assisted Survey Sampling, Springer-Verlag, ISBN 0-387-40620-4