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

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

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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 languageEnglish
Pages (from-to)114-123
Number of pages10
JournalInternational Journal of Probability and Statistics
Volume7
Issue number4
DOIs
Publication statusPublished - 29 Jun 2018

Keywords

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

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