A New Quasi Sujatha Distribution

• Authors: Rama Shanker , Kamlesh Kumar Shukla

Abstracts

EN

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 sizebiased Lindley distribution, and the exponential distribution. Its moments and momentsbased 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

EN

Sujatha distribution; quasi Sujatha distribution; moments; reliability properties; stochastic ordering; stress-strength reliability; estimation of parameters; goodness of fit

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2020
• Volume: 21
• Issue: 3
• Pages: 53-71

Contributors

author

Rama Shanker

• Department of Statistics, Assam University, Silchar, India

• https://orcid.org/0000000250028904

author

Kamlesh Kumar Shukla

• Department of Statistics, Mainefhi College of Science, Asmara, Eritrea

• https://orcid.org/0000000150645569

Identifiers

DOI

10.21307/stattrans-2020-044

Biblioteka Nauki

1058938