A New 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

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 languageEnglish
Pages (from-to)21-32
Number of pages12
JournalInternational Journal of Probability and Statistics
Volume9
Issue number2
DOIs
Publication statusPublished - 2020

Keywords

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

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