Conway–Maxwell–Poisson distribution

<p>In <a href="/facts/Probability_theory/mFBn51rE">probability theory</a> and <a href="/facts/Statistics/DNPsKGYU">statistics</a>, the Conway–Maxwell–Poisson (CMP or COM–Poisson) distribution is a <a href="/facts/Discrete_probability_distribution/EpsKKVRu">discrete probability distribution</a> named after <a href="/facts/Richard_W._Conway/rIPdBjkU">Richard W. Conway</a>, <a href="/facts/William_L._Maxwell/TMo5WMSH">William L. Maxwell</a>, and <a href="/facts/Sim%C3%A9on_Denis_Poisson/zmsDITrY">Siméon Denis Poisson</a> that generalizes the <a href="/facts/Poisson_distribution/CvCzXkHr">Poisson distribution</a> by adding a parameter to model <a href="/facts/Overdispersion/NSzgPcjq">overdispersion</a> and <a href="/facts/Underdispersion/NSzgPcjq">underdispersion</a>. It is a member of the <a href="/facts/Exponential_family/1LkkqEIf">exponential family</a>, has the Poisson distribution and <a href="/facts/Geometric_distribution/c8wjfaoV">geometric distribution</a> as <a href="/facts/Special_case/bKaJ85XJ">special cases</a> and the <a href="/facts/Bernoulli_distribution/ChCtYyvs">Bernoulli distribution</a> as a <a href="/facts/Limiting_case_(mathematics)/UEehGCom">limiting case</a>.
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Conway–Maxwell–Poisson distribution open-in-new

Conway–Maxwell–Poisson distribution