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Champernowne distribution : ウィキペディア英語版
Champernowne distribution
In statistics, the Champernowne distribution is a symmetric, continuous probability distribution, describing random variables that take both positive and negative values. It is a generalization of the logistic distribution that was introduced by D. G. Champernowne.〔 ( Section 7.3 "Champernowne Distribution." )〕 Champernowne developed the distribution to describe the logarithm of income.〔
==Definition==
The Champernowne distribution has a probability density function given by
:
f(y;\alpha, \lambda, y_0 ) = \frac, \qquad -\infty < y < \infty,

where \alpha, \lambda, y_0 are positive parameters, and ''n'' is the normalizing constant, which depends on the parameters. The density may be rewritten as
:
f(y) = \frac},

using the fact that \cosh y = (e^y + e^)/2.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Champernowne distribution」の詳細全文を読む



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