Weighted Quasi Akash Distribution: Properties and Applications

Eyob Tesfalem*, Rama Shanker, Kamlesh Kumar Shukla, Tekie Asehun Leonida

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

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    Abstract

    This paper proposes a three-parameter weighted quasi Akash distribution (WQAD) which includes two-parameter weighted Akash, quasi Akash and gamma distributions and one parameter Akash distribution as special cases. Its raw moments and central moments have been obtained. The moment based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been discussed. The statistical properties including hazard rate function, mean residual life function and stochastic ordering have been explained. Maximum likelihood estimation has been discussed for estimating the parameters of the distribution. Finally, applications of the distribution have been explained with three examples of observed real lifetime datasets from engineering.
    Original languageEnglish
    Pages (from-to)30-43
    Number of pages14
    JournalAmerican Journal of Mathematics and Statistics
    Volume9
    Issue number1
    DOIs
    Publication statusPublished - 2019

    Keywords

    • Quasi Akash distribution
    • Moments
    • Statistical properties
    • Maximum Likelihood estimation
    • Goodness of fit

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