Ahmad-Kudo-Poisson distributionNotation |
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Support |
x ∈ { 0, 1, 2, ... } |
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PMF |
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CDF |
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Mean |
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Median |
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Mode |
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Variance |
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Skewness |
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Excess kurtosis |
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Entropy |
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MGF |
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CF |
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PGF |
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Also known as the modified Poisson distribution, the probability mass function of the Ahmad-Kudo-Poisson distribution is given by
Cumulative Distribution Function
Expected Value
Variance
Moment Generating Function
Characteristic Function
Probability Generating Function
- Ahmad, M., Kudo, A. (1967). Modified and partially truncated Poisson distribution Bulletin of the Institute of Statistical Research and Training, University of Dacca 1, 82-90
- Wimmer, G., Altmann. (1999). Thesaurus of univariate discrete probability distributions. Stamm; 1. ed (1999), pg 5