A New Quasi Sujatha Distribution

Shanker Rama () and Shukla Kamlesh Kumar ()
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Shanker Rama: Department of Statistics, Assam University, Silchar, India .
Shukla Kamlesh Kumar: Department of Statistics, Mainefhi College of Science, Asmara, Eritrea .

Statistics in Transition New Series, 2020, vol. 21, issue 3, 53-71

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.

Keywords: Sujatha distribution; quasi Sujatha distribution; moments; reliability properties; stochastic ordering; stress-strength reliability; estimation of parameters; goodness of fit. (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:21:y:2020:i:3:p:53-71:n:8

DOI: 10.21307/stattrans-2020-044

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