McCullagh's parametrization of the Cauchy distributions
id:
mccullagh-s-parametrization-of-the-cauchy-distributions-194-3164262
title:
McCullagh's parametrization of the Cauchy distributions
text:
In probability theory, the "standard" Cauchy distribution is the probability distribution whose probability density function (pdf) is for x real. This has median 0, and first and third quartiles respectively −1 and +1. Generally, a Cauchy distribution is any probability distribution belonging to the same location-scale family as this one. Thus, if X has a standard Cauchy distribution and μ is any real number and σ > 0, then Y = μ + σX has a Cauchy distribution whose median is μ and whose first a
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https://en.wikipedia.org/wiki/McCullagh%27s_parametrization_of_the_Cauchy_distributions
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date modified:
2021-05-07T19:38:06Z
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{"identifier":"Q6800742","url":"https://www.wikidata.org/entity/Q6800742"}
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