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On the Reliability for Some Bivariate Dependent Beta and Kumaraswamy Distributions: A Brief Survey

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  • Ghosh Indranil

    (Department of Mathematics and Statistics, University of North Carolina, Wilmington, North Carolina, USA)

Abstract

In the area of stress-strength models, there has been a large amount of work regarding the estimation of the reliability R=Pr⁡(X

Suggested Citation

  • Ghosh Indranil, 2019. "On the Reliability for Some Bivariate Dependent Beta and Kumaraswamy Distributions: A Brief Survey," Stochastics and Quality Control, De Gruyter, vol. 34(2), pages 115-121, December.
    • Handle: RePEc:bpj:ecqcon:v:34:y:2019:i:2:p:115-121:n:2
    DOI: 10.1515/eqc-2018-0029
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    References listed on IDEAS

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    1. Barry C. Arnold & Indranil Ghosh, 2017. "Some alternative bivariate Kumaraswamy models," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(18), pages 9335-9354, September.
    2. Saralees Nadarajah & Samuel Kotz, 2003. "Reliability for Pareto models," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 191-204.
    3. Saralees Nadarajah & Samuel Kotz, 2007. "Two generalized beta distributions," Applied Economics, Taylor & Francis Journals, vol. 39(14), pages 1743-1751.
    4. M. Jones, 2004. "Families of distributions arising from distributions of order statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(1), pages 1-43, June.
    5. Erhard Cramer & Udo Kamps, 1997. "The UMVUE ofP(X>Y) based on type-II censored samples from Weinman multivariate exponential distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 46(1), pages 93-121, January.
    6. Paul Embrechts & Sidney Resnick & Gennady Samorodnitsky, 1999. "Extreme Value Theory as a Risk Management Tool," North American Actuarial Journal, Taylor & Francis Journals, vol. 3(2), pages 30-41.
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