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


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Authors

  • Shradha Dwivedi Department of Information and Technology, University of Technology and Applied Sciences, UTAS, Salalah, Sultanate of Oman
  • Sabir Ali Siddiqui Department of Mathematics and Sciences, CAAS, Dhofar University, Salalah, Sultanate of Oman
  • Peeyush Dwivedi Department of Business Studies, University of Technology and Applied Sciences, UTAS, Salalah, Sultanate of Oman
  • Sanjay Jain Department of Statistics, St. John's College, Agra, India

Keywords:

SD Distribution, Reliability function, Hazard rate function, Prior distribution, Posterior distribution

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.

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Published

15-06-2021

How to Cite

Shradha Dwivedi, Sabir Ali Siddiqui, Peeyush Dwivedi, & Sanjay Jain. (2021). Bayesian Analysis of a Renamed Failur Model and its Order Statistics: A Mathematical Study. International Journal of Mathematics And Its Applications, 9(2), 55–62. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/65

Issue

Vol. 9 No. 2 (2021)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.