International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2018, Vol. 3, Issue 3, Part B

A quasi Poisson-Akash distribution and its applications to ecology


Author(s): Rama Shanker, Kamlesh Kumar Shukla and Ravi Shanker

Abstract: In this paper, a quasi-Poisson-Akash distribution (QPAD) of which Poisson-Akash distribution (PAD) of Shanker (2017 a) is a particular case, has been proposed by compounding Poisson distribution with quasi Akash distribution (QAD), introduced by Shanker (2015). The raw moments and central moments have been obtained. Expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been given their behaviors have been studied for varying values of the parameters. The QPAD has been shown to be unimodal and always over-dispersed. The estimation of its parameters has been discussed using both the method of moments and the method of maximum likelihood. Finally, the goodness of fit of QPAD has been discussed with two real count datasets from ecology and the fit has been compared with that of Poisson distribution (PD), Poisson-Lindley distribution (PLD) and Poisson-Akash distribution (PAD).

Pages: 111-119 | Views: 442 | Downloads: 19

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How to cite this article:
Rama Shanker, Kamlesh Kumar Shukla, Ravi Shanker. A quasi Poisson-Akash distribution and its applications to ecology. Int J Stat Appl Math 2018;3(3):111-119.
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