A Two-Parameter Poisson-Akash Distribution with Properties and Applications

Rama Shanker; Kamlesh Kumar Shukla; Tekie Asehun Leonida

doi:10.5923/j.ijps.20180704.03

A Two-Parameter Poisson-Akash Distribution with Properties and Applications

Rama Shanker (Corresponding Author), Kamlesh Kumar Shukla, Tekie Asehun Leonida

Stochastic Operations Research

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Abstract

This paper proposes a two-parameter Poisson- Akash distribution which includes Poisson-Akash distribution as a special case. Its moments and moments based measures have been derived and studied. Statistical properties including hazard rate function, unimodality and generating functions have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameters of the distribution. Finally, applications of the proposed distribution have been explained through two count datasets from biological sciences and compared with other discrete distributions.

Original language	English
Pages (from-to)	114-123
Number of pages	10
Journal	International Journal of Probability and Statistics
Volume	7
Issue number	4
DOIs	https://doi.org/10.5923/j.ijps.20180704.03
Publication status	Published - 29 Jun 2018

Keywords

Poisson- Akash distribution
Compounding
Moments
Skewness
Kurtosis
Maximum likelihood estimation
Applications
Two-parameter Akash distribution

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10.5923/j.ijps.20180704.03Licence: CC BY

2018-XShankerShuklaLeonida_10.5923.j.ijps.20180704.03Final published version, 241 KBLicence: CC BY

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abstract = "This paper proposes a two-parameter Poisson- Akash distribution which includes Poisson-Akash distribution as a special case. Its moments and moments based measures have been derived and studied. Statistical properties including hazard rate function, unimodality and generating functions have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameters of the distribution. Finally, applications of the proposed distribution have been explained through two count datasets from biological sciences and compared with other discrete distributions.",

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AU - Leonida, Tekie Asehun

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N2 - This paper proposes a two-parameter Poisson- Akash distribution which includes Poisson-Akash distribution as a special case. Its moments and moments based measures have been derived and studied. Statistical properties including hazard rate function, unimodality and generating functions have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameters of the distribution. Finally, applications of the proposed distribution have been explained through two count datasets from biological sciences and compared with other discrete distributions.

AB - This paper proposes a two-parameter Poisson- Akash distribution which includes Poisson-Akash distribution as a special case. Its moments and moments based measures have been derived and studied. Statistical properties including hazard rate function, unimodality and generating functions have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameters of the distribution. Finally, applications of the proposed distribution have been explained through two count datasets from biological sciences and compared with other discrete distributions.

KW - Poisson- Akash distribution

KW - Compounding

KW - Moments

KW - Skewness

KW - Kurtosis

KW - Maximum likelihood estimation

KW - Applications

KW - Two-parameter Akash distribution

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JO - International Journal of Probability and Statistics

JF - International Journal of Probability and Statistics

IS - 4

ER -

A Two-Parameter Poisson-Akash Distribution with Properties and Applications

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Keywords

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