About: Displaced Poisson distribution

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In statistics, the displaced Poisson, also known as the hyper-Poisson distribution, is a generalization of the Poisson distribution.The probability mass function is where and r is a new parameter; the Poisson distribution is recovered at r = 0. Here is the Pearson's incomplete gamma function: where s is the integral part of r. The motivation given by Staff is that the ratio of successive probabilities in the Poisson distribution (that is ) is given by for and the displaced Poisson generalizes this ratio to .

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  • In statistics, the displaced Poisson, also known as the hyper-Poisson distribution, is a generalization of the Poisson distribution.The probability mass function is where and r is a new parameter; the Poisson distribution is recovered at r = 0. Here is the Pearson's incomplete gamma function: where s is the integral part of r. The motivation given by Staff is that the ratio of successive probabilities in the Poisson distribution (that is ) is given by for and the displaced Poisson generalizes this ratio to . (en)
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  • In statistics, the displaced Poisson, also known as the hyper-Poisson distribution, is a generalization of the Poisson distribution.The probability mass function is where and r is a new parameter; the Poisson distribution is recovered at r = 0. Here is the Pearson's incomplete gamma function: where s is the integral part of r. The motivation given by Staff is that the ratio of successive probabilities in the Poisson distribution (that is ) is given by for and the displaced Poisson generalizes this ratio to . (en)
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  • Displaced Poisson distribution (en)
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