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A New Quasi Sujatha Distribution

Author

Listed:
  • Shanker Rama

    (Department of Statistics, Assam University, Silchar, India .)

  • Shukla Kamlesh Kumar

    (Department of Statistics, Mainefhi College of Science, Asmara, Eritrea .)

Abstract

The aim of this paper is to introduce a new quasi Sujatha distribution (NQSD), of which the following are particular cases: the Sujatha distribution devised by Shanker (2016 a), the size-biased Lindley distribution, and the exponential distribution. Its moments and moments-based measures are derived and discussed. Statistical properties, including the hazard rate and mean residual life functions, stochastic ordering, mean deviations, Bonferroni and Lorenz curves and stress-strength reliability are also analysed. The method of moments and the method of maximum likelihood estimations is discussed for estimating parameters of the proposed distribution. A numerical example is presented to test its goodness of fit, which is then compared with other one-parameter and two-parameter lifetime distributions.

Suggested Citation

  • Shanker Rama & Shukla Kamlesh Kumar, 2020. "A New Quasi Sujatha Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 21(3), pages 53-71, September.
    • Handle: RePEc:vrs:stintr:v:21:y:2020:i:3:p:53-71:n:8
    DOI: 10.21307/stattrans-2020-044
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