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Statistics in Transition New Series
Polish Statistical Association
Central Statistical Office of Poland
Subject: Economics, Statistics & Probability
ISSN: 1234-7655
eISSN: 2450-0291
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A New Quasi Sujatha Distribution
Rama Shanker / Kamlesh Kumar Shukla
Keywords : Sujatha distribution, quasi Sujatha distribution, moments, reliability properties, stochastic ordering, stress-strength reliability, estimation of parameters, goodness of fit
Citation Information : Statistics in Transition New Series. Volume 21, Issue 3, Pages 53-71, DOI: https://doi.org/10.21307/stattrans-2020-044
License : (CC BY-NC-ND 4.0)
Received Date : 30-November-2017 / Accepted: 20-April-2020 / Published Online: 20-September-2020
- ARTICLE
- FIGURES & TABLES
- REFERENCES
- EXTRA FILES
- COMMENTS
ARTICLE
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 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.
FIGURES & TABLES
REFERENCES
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BONFERRONI, C. E., (1930). Elementi di Statistca generale, Seeber, Firenze.
GUPTA, R. D., KUNDU, D., (1999). Generalized Exponential Distribution, Australian & New Zealand Journal of Statistics, 41(2), pp. 173–188.
LINDLEY, D.V., (1958). Fiducial distributions and Bayes’ theorem, Journal of the Royal Statistical Society, Series B, 20, pp. 102–107.
SHAKED, M., SHANTHIKUMAR, J. G., (1994). Stochastic Orders and Their Applications, Academic Press, New York.
SHANKER, R., (2016a). Sujatha distribution and Its Applications, Statistics in Transition new series, 17 (3), pp. 1–20.
SHANKER, R., (2016b). The discrete Poisson-Sujatha distribution, International Journal of Probability and Statistics, 5(1), pp. 1–9.
SHANKER, R., (2016c). A Quasi Sujatha Distribution “International Journal of Probability and Statistics, 5(4), pp. 89–100.
SHANKER, R., MISHRA, A., (2013). A Quasi Lindley Distribution, African Journal of Mathematics and Computer Science Research (AJMCSR), 6(4), pp. 64–71.
SHANKER, R., HAGOS, F., (2015). Zero-truncated Poisson-Sujatha distribution with Applications, Journal of Ethiopian Statistical Association, 24, pp. 55–63.
SHANKER, R., HAGOS, F., (2016a). Size-biased Poisson-Sujatha distribution with Applications, American Journal of Mathematics and Statistics, 6(4), pp. 145–154.
SHANKER, R., HAGOS, F., (2016b). On Zero-truncation of Poisson, Poisson-Lindley and Poisson-Sujatha distributions and their Applications, Biometrics and Biostatistics International Journal, 3(5), pp. 1–13.