On Discrete Poisson-Shanker Distribution and Its Applications

Rama Shanker; Hagos Fesshaye; Ravi Shanker; Tekie Asehun Leonida; Simon Sium

doi:10.15406/bbij.2017.05.00121

On Discrete Poisson-Shanker Distribution and Its Applications

Rama Shanker, Hagos Fesshaye, Ravi Shanker, Tekie Asehun Leonida, Simon Sium

Stochastic Operations Research

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Abstract

A simple method for obtaining moments of Poisson-Shanker distribution (PSD) introduced by Shanker [1] has been proposed. The first four moments about origin and the variance have been obtained. The goodness of fit and the applications of the PSD have been discussed with count data from ecology, genetics and thunderstorms and the fit is compared with one parameter Poisson distribution (PD) and Poisson-Lindley distribution (PLD) introduced by Sankaran [2].

Original language	English
Article number	00121
Number of pages	9
Journal	Biometrics & biostatistics International journal
Volume	5
Issue number	1
DOIs	https://doi.org/10.15406/bbij.2017.05.00121
Publication status	Published - 18 Jan 2017

Keywords

Shanker distribution
Poisson-Shanker distribution
Poisson-Lindley distribution
Moments
Estimation of parameter
Applications

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10.15406/bbij.2017.05.00121

2017-XShankerFesshayeShankerLeonidaSimon_BBIJ-05-00121Final published version, 544 KB

http://medcraveonline.com/BBIJ/BBIJ-05-00121.pdf

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AU - Fesshaye, Hagos

AU - Shanker, Ravi

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AU - Sium, Simon

PY - 2017/1/18

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AB - A simple method for obtaining moments of Poisson-Shanker distribution (PSD) introduced by Shanker [1] has been proposed. The first four moments about origin and the variance have been obtained. The goodness of fit and the applications of the PSD have been discussed with count data from ecology, genetics and thunderstorms and the fit is compared with one parameter Poisson distribution (PD) and Poisson-Lindley distribution (PLD) introduced by Sankaran [2].

KW - Shanker distribution

KW - Poisson-Shanker distribution

KW - Poisson-Lindley distribution

KW - Moments

KW - Estimation of parameter

KW - Applications

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DO - 10.15406/bbij.2017.05.00121

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JF - Biometrics & biostatistics International journal

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On Discrete Poisson-Shanker Distribution and Its Applications

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Keywords

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