A Two-Parameter Poisson-Sujatha Distribution

Rama Shanker; Kamlesh Kumar Shukla; Tekie Asehun Leonida

doi:10.5923/j.ajms.20201003.02

A Two-Parameter Poisson-Sujatha Distribution

Rama Shanker^*, Kamlesh Kumar Shukla, Tekie Asehun Leonida

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

A two-parameter Poisson-Sujatha distribution which is a Poisson mixture of two-parameter Sujatha distribution, and includes Poisson-Sujatha distribution as particular case has been proposed. Its moments and moments based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been obtained. Maximum likelihood estimation has been explained for estimating its parameters. Goodness of fit of the proposed distribution has been explained with two over-dispersed count datasets and the fit has been compared with one parameter Poisson-Lindley distribution and Poisson-Sujatha distribution and a generalization of Poisson-Sujatha distribution.

Original language	English
Pages (from-to)	70-78
Number of pages	9
Journal	American Journal of Mathematics and Statistics
Volume	10
Issue number	3
DOIs	https://doi.org/10.5923/j.ajms.20201003.02
Publication status	Published - 2020

Keywords

Sujatha distribution
Poisson-Sujatha distribution
Two-parameter Sujatha distribution
Moments based measures
Maximum likelihood estimation

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10.5923/j.ajms.20201003.02Licence: CC BY

ArticleFinal published version, 211 KBLicence: CC BY

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title = "A Two-Parameter Poisson-Sujatha Distribution",

abstract = "A two-parameter Poisson-Sujatha distribution which is a Poisson mixture of two-parameter Sujatha distribution, and includes Poisson-Sujatha distribution as particular case has been proposed. Its moments and moments based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been obtained. Maximum likelihood estimation has been explained for estimating its parameters. Goodness of fit of the proposed distribution has been explained with two over-dispersed count datasets and the fit has been compared with one parameter Poisson-Lindley distribution and Poisson-Sujatha distribution and a generalization of Poisson-Sujatha distribution.",

keywords = "Sujatha distribution, Poisson-Sujatha distribution, Two-parameter Sujatha distribution, Moments based measures, Maximum likelihood estimation",

author = "Rama Shanker and Shukla, {Kamlesh Kumar} and Leonida, {Tekie Asehun}",

year = "2020",

doi = "10.5923/j.ajms.20201003.02",

language = "English",

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pages = "70--78",

journal = "American Journal of Mathematics and Statistics",

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T1 - A Two-Parameter Poisson-Sujatha Distribution

AU - Shanker, Rama

AU - Shukla, Kamlesh Kumar

AU - Leonida, Tekie Asehun

PY - 2020

Y1 - 2020

N2 - A two-parameter Poisson-Sujatha distribution which is a Poisson mixture of two-parameter Sujatha distribution, and includes Poisson-Sujatha distribution as particular case has been proposed. Its moments and moments based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been obtained. Maximum likelihood estimation has been explained for estimating its parameters. Goodness of fit of the proposed distribution has been explained with two over-dispersed count datasets and the fit has been compared with one parameter Poisson-Lindley distribution and Poisson-Sujatha distribution and a generalization of Poisson-Sujatha distribution.

AB - A two-parameter Poisson-Sujatha distribution which is a Poisson mixture of two-parameter Sujatha distribution, and includes Poisson-Sujatha distribution as particular case has been proposed. Its moments and moments based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been obtained. Maximum likelihood estimation has been explained for estimating its parameters. Goodness of fit of the proposed distribution has been explained with two over-dispersed count datasets and the fit has been compared with one parameter Poisson-Lindley distribution and Poisson-Sujatha distribution and a generalization of Poisson-Sujatha distribution.

KW - Sujatha distribution

KW - Poisson-Sujatha distribution

KW - Two-parameter Sujatha distribution

KW - Moments based measures

KW - Maximum likelihood estimation

U2 - 10.5923/j.ajms.20201003.02

DO - 10.5923/j.ajms.20201003.02

M3 - Article

SN - 2162-948X

VL - 10

SP - 70

EP - 78

JO - American Journal of Mathematics and Statistics

JF - American Journal of Mathematics and Statistics

IS - 3

ER -

A Two-Parameter Poisson-Sujatha Distribution

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Keywords

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