A Generalized Poisson-Akash Distribution: Properties and Applications

Rama Shanker; Kamlesh Kumar Shukla; Tekie Asehun Leonida

doi:10.5923/j.statistics.20180805.03

A Generalized Poisson-Akash Distribution: Properties and Applications

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

^*Corresponding author for this work

Stochastic Operations Research

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

266 Downloads (Pure)

Abstract

A generalized Poisson- Akash distribution which includes Poisson-Akash distribution has been proposed. Its factorial moments, raw moments and central moments have been derived and studied. Some statistical properties including generating functions, hazard rate function and unimodality have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating parameters of the distribution. Applications of the proposed distribution have been explained through two count datasets and compared with other discrete distributions.

Original language	English
Pages (from-to)	249-258
Number of pages	10
Journal	International Journal of Statistics and Applications
Volume	8
Issue number	5
DOIs	https://doi.org/10.5923/j.statistics.20180805.03
Publication status	Published - 2018

Keywords

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

Access to Document

10.5923/j.statistics.20180805.03Licence: CC BY

ArticleFinal published version, 239 KBLicence: CC BY

Cite this

@article{df66774a34584dcf8f1b01b792df08a1,

title = "A Generalized Poisson-Akash Distribution: Properties and Applications",

abstract = "A generalized Poisson- Akash distribution which includes Poisson-Akash distribution has been proposed. Its factorial moments, raw moments and central moments have been derived and studied. Some statistical properties including generating functions, hazard rate function and unimodality have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating parameters of the distribution. Applications of the proposed distribution have been explained through two count datasets and compared with other discrete distributions.",

keywords = "Poisson- Akash distribution, Compounding, Moments, Skewness, Kurtosis, Maximum likelihood estimation, Applications, Generalized Akash distribution",

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

year = "2018",

doi = "10.5923/j.statistics.20180805.03",

language = "English",

volume = "8",

pages = "249--258",

journal = "International Journal of Statistics and Applications",

issn = "2168-5193",

publisher = "Scientific \& Academic Publishing Co.",

number = "5",

}

TY - JOUR

T1 - A Generalized Poisson-Akash Distribution

T2 - Properties and Applications

AU - Shanker, Rama

AU - Shukla, Kamlesh Kumar

AU - Leonida, Tekie Asehun

PY - 2018

Y1 - 2018

N2 - A generalized Poisson- Akash distribution which includes Poisson-Akash distribution has been proposed. Its factorial moments, raw moments and central moments have been derived and studied. Some statistical properties including generating functions, hazard rate function and unimodality have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating parameters of the distribution. Applications of the proposed distribution have been explained through two count datasets and compared with other discrete distributions.

AB - A generalized Poisson- Akash distribution which includes Poisson-Akash distribution has been proposed. Its factorial moments, raw moments and central moments have been derived and studied. Some statistical properties including generating functions, hazard rate function and unimodality have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating parameters of the distribution. Applications of the proposed distribution have been explained through two count datasets 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 - Generalized Akash distribution

U2 - 10.5923/j.statistics.20180805.03

DO - 10.5923/j.statistics.20180805.03

M3 - Article

SN - 2168-5193

VL - 8

SP - 249

EP - 258

JO - International Journal of Statistics and Applications

JF - International Journal of Statistics and Applications

IS - 5

ER -

A Generalized Poisson-Akash Distribution: Properties and Applications

Abstract

Keywords

Access to Document

Fingerprint

Cite this