A Generalized Poisson-Akash Distribution: Properties and Applications

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

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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 languageEnglish
Pages (from-to)249-258
Number of pages10
JournalInternational Journal of Statistics and Applications
Volume8
Issue number5
DOIs
Publication statusPublished - 2018

Fingerprint

Generalized Poisson Distribution
Factorial Moments
Hazard Rate Function
Central Moments
Unimodality
Discrete Distributions
Method of Moments
Poisson distribution
Statistical property
Maximum Likelihood
Generating Function
Count
Moment

Keywords

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

Cite this

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A Generalized Poisson-Akash Distribution : Properties and Applications. / Shanker, Rama (Corresponding Author); Shukla, Kamlesh Kumar; Leonida, Tekie Asehun.

In: International Journal of Statistics and Applications, Vol. 8, No. 5, 2018, p. 249-258.

Research output: Contribution to journalArticleAcademicpeer-review

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

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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

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DO - 10.5923/j.statistics.20180805.03

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JO - International Journal of Statistics and Applications

JF - International Journal of Statistics and Applications

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