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Davis distribution : ウィキペディア英語版
Davis distribution

-1 \right) \Gamma(n) \zeta(n) }
Where \Gamma(n) is the Gamma function and \zeta(n) is the Riemann zeta function |
cdf =|
mean =\begin
\mu + \frac & \text\ n>2 \\
\text & \text\ \end |
median = |
mode =|
variance = \begin
\frac^2} & \text\ n>3 \\
\text & \text\ \end |
skewness =|
kurtosis =|
entropy =|
mgf =|
char =|
}}
In statistics, the Davis distributions are a family of continuous probability distributions. It is named after Harold T. Davis (1892–1974), who in 1941 proposed this distribution to model income sizes. (''The Theory of Econometrics and Analysis of Economic Time Series''). It is a generalization of the Planck's law of radiation from statistical physics.
==Definition==
The probability density function of the Davis distribution is given by
:f(x;\mu,b,n)=\frac }} -1 \right) \Gamma(n) \zeta(n) }
where \Gamma(n) is the Gamma function and \zeta(n) is the Riemann zeta function. Here μ, ''b'', and ''n'' are parameters of the distribution, and ''n'' need not be an integer.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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