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Date: 8-2-2021
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Date: 13-2-2021
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Date: 22-3-2021
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A skewed distribution which is similar to the binomial distribution when (Abramowitz and Stegun 1972, p. 930).
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(1) |
for where
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(2) |
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(3) |
is the gamma function, and
is a standardized variate. Another form is
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(4) |
For this distribution, the characteristic function is
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(5) |
and the mean, variance, skewness, and kurtosis excess are
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(6) |
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(7) |
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(8) |
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(9) |
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972.
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