Poisson sampling

In <a href="/facts/Survey_methodology/vgqyWzAY">survey methodology</a>, Poisson sampling (sometimes denoted as PO sampling: 61 ) is a <a href="/facts/Sampling_(statistics)/kIb01xdL">sampling</a> process where each element of the <a href="/facts/Statistical_population/KAILs8E3">population</a> is subjected to an <a href="/facts/Statistical_independence/NUzQtnUL">independent</a> <a href="/facts/Bernoulli_trial/7fm8snCf">Bernoulli trial</a> which determines whether the element becomes part of the sample.: 85 
Each element of the population may have a different probability of being included in the sample (
 
 
 
 
 π
 
 i
 
 
 
 
 {\displaystyle \pi _{i}}
 
). The probability of being included in a sample during the drawing of a single sample is denoted as the first-order <a href="/facts/Inclusion_probability/Vob3umvl">inclusion probability</a> of that element (
 
 
 
 
 p
 
 i
 
 
 
 
 {\displaystyle p_{i}}
 
). If all first-order inclusion probabilities are equal, Poisson sampling becomes equivalent to <a href="/facts/Bernoulli_sampling/N7qeq0tb">Bernoulli sampling</a>, which can therefore be considered to be a special case of Poisson sampling.

Poisson sampling open-in-new

Poisson sampling