Log-Series Distribution
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المرجع الالكتروني للمعلوماتيه
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18-4-2021
1941
Log-Series Distribution
The log-series distribution, also sometimes called the logarithmic distribution (although this work reserves that term for a distinct distribution), is the distribution of the terms in the series expansion of 
about 
. It has probability and density functions given by
where 
is the incomplete beta function.
The log-series distribution is implemented as LogSeriesDistribution[theta].
It is properly normalized since
 |
(3)
|
The 
th raw moment is given by
 |
(4)
|
where 
is a polylogarithm.
The mean, variance, skewness, and kurtosis excess
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