Another Two-Parameter Poisson –Sujatha Distribution

Rama Shanker*, Kamlesh Kumar Shukla, Tekie Asehun Leonida

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

In this paper another two-parameter Poisson-Sujatha distribution by compounding Poisson distribution with another two-parameter Sujatha distribution which includes geometric distribution and Poisson-Sujatha distribution as particular cases, has been proposed. Its moments based statistical constants 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 five over-dispersed count datasets from various fields of knowledge and fit has been compared with Poisson-Lindley distribution, Poisson-Sujatha distribution, a generalization of Poisson-Sujatha distribution and two-parameter Poisson-Sujatha distribution.
Original languageEnglish
Pages (from-to)43-53
Number of pages11
JournalInternational Journal of Statistics and Applications
Volume10
Issue number2
DOIs
Publication statusPublished - 2020

Keywords

  • Sujatha distribution
  • Poisson-Sujatha distribution
  • Another two-parameter Sujatha distribution
  • Moments based measures
  • Maximum likelihood estimation
  • Goodness of Fit

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