Bayesian Analysis of a Renamed Failur Model and its Order Statistics: A Mathematical Study

Shradha Dwivedi1, Sabir Ali Siddiqui2, Peeyush Dwivedi3 and Sanjay Jain4


1Department of Information and Technology, University of Technology and Applied Sciences, UTAS, Salalah, Sultanate of Oman.
2Department of Mathematics and Sciences, CAAS, Dhofar University, Salalah, Sultanate of Oman.
3Department of Business Studies, University of Technology and Applied Sciences, UTAS, Salalah, Sultanate of Oman.
4Department of Statistics, St. John's College, Agra, India.

Abstract: The present paper deals in Bayesian analysis of the new distribution which is renamed here as SD-distribution. Bayesian estimates of the expected life, reliability function, hazard rate function is studied mathematically for the distribution, which is already established as a failure model. Similarly Bayesian estimates for the order statistics is also found here. The scale and shape parameters had been considered as random variables separately with certain prior distribution for the purpose of Bayesian estimation.
Keywords: SD Distribution, Reliability function, Hazard rate function, Prior distribution, Posterior distribution.


Cite this article as: Shradha Dwivedi, Sabir Ali Siddiqui, Peeyush Dwivedi and Sanjay Jain, Bayesian Analysis of a Renamed Failur Model and its Order Statistics: A Mathematical Study, Int. J. Math. And Appl., vol. 9, no. 2, 2021, pp. 55-62.

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