A New Two-Parameter Poisson-Sujatha Distribution

Rama Shanker; Kamlesh Kumar Shukla; Tekie Asehun Leonida

doi:10.5923/j.ijps.20200902.01

A New 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 new two-parameter Poisson-Sujatha distribution, a Poisson mixture of a new two-parameter Sujatha distribution, which includes Poisson-Sujatha distribution and Poisson-Akash distribution as particular cases, has been introduced. Its moments based statistical 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 six over-dispersed count datasets and fit has been compared with Poisson-Sujatha distribution and other generalizations of Poisson-Sujatha distributions.

Original language	English
Pages (from-to)	21-32
Number of pages	12
Journal	International Journal of Probability and Statistics
Volume	9
Issue number	2
DOIs	https://doi.org/10.5923/j.ijps.20200902.01
Publication status	Published - 2020

Keywords

Sujatha distribution
Poisson-Sujatha distribution
A New two-parameter Sujatha distribution
Moments based measures
Maximum likelihood estimation
Applications

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10.5923/j.ijps.20200902.01Licence: CC BY

ArticleFinal published version, 292 KBLicence: CC BY

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

abstract = "A new two-parameter Poisson-Sujatha distribution, a Poisson mixture of a new two-parameter Sujatha distribution, which includes Poisson-Sujatha distribution and Poisson-Akash distribution as particular cases, has been introduced. Its moments based statistical 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 six over-dispersed count datasets and fit has been compared with Poisson-Sujatha distribution and other generalizations of Poisson-Sujatha distributions.",

keywords = "Sujatha distribution, Poisson-Sujatha distribution, A New two-parameter Sujatha distribution, Moments based measures, Maximum likelihood estimation, Applications",

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

year = "2020",

doi = "10.5923/j.ijps.20200902.01",

language = "English",

volume = "9",

pages = "21--32",

journal = "International Journal of Probability and Statistics",

issn = "2168-4863",

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T1 - A New Two-Parameter Poisson-Sujatha Distribution

AU - Shanker, Rama

AU - Shukla, Kamlesh Kumar

AU - Leonida, Tekie Asehun

PY - 2020

Y1 - 2020

N2 - A new two-parameter Poisson-Sujatha distribution, a Poisson mixture of a new two-parameter Sujatha distribution, which includes Poisson-Sujatha distribution and Poisson-Akash distribution as particular cases, has been introduced. Its moments based statistical 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 six over-dispersed count datasets and fit has been compared with Poisson-Sujatha distribution and other generalizations of Poisson-Sujatha distributions.

AB - A new two-parameter Poisson-Sujatha distribution, a Poisson mixture of a new two-parameter Sujatha distribution, which includes Poisson-Sujatha distribution and Poisson-Akash distribution as particular cases, has been introduced. Its moments based statistical 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 six over-dispersed count datasets and fit has been compared with Poisson-Sujatha distribution and other generalizations of Poisson-Sujatha distributions.

KW - Sujatha distribution

KW - Poisson-Sujatha distribution

KW - A New two-parameter Sujatha distribution

KW - Moments based measures

KW - Maximum likelihood estimation

KW - Applications

U2 - 10.5923/j.ijps.20200902.01

DO - 10.5923/j.ijps.20200902.01

M3 - Article

SN - 2168-4863

VL - 9

SP - 21

EP - 32

JO - International Journal of Probability and Statistics

JF - International Journal of Probability and Statistics

IS - 2

ER -

A New Two-Parameter Poisson-Sujatha Distribution

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