Parameter estimation of two-parameter Rayleigh distribution under progressive censoring with binomial removals

Subject Areas : Statistics

Nilofar Asle Fallah ¹ ( Department of Statistics, Imam Khomeini International University, Qazvin, Iran )
Akram Kohansal ² ( Department of Statistics, Imam Khomeini International University, Qazvin, Iran )
Ramin Kazemi ³ ( Department of Statistics, Imam Khomeini International University,Qazvin, Iran )

Received: 2019-11-20 Accepted : 2020-04-19 Published : 2021-03-01

Keywords: زمان مورد انتظار آزمایش, توزیع رایلی دوپارامتری, سانسور فزاینده نوع 2, حذف دوجمله‌ای,

Abstract :

The estimation of unknown parameters of two-parameter Rayleigh distribution based on Type-II progressive censoring with binomial removals is studied. Maximum likelihood estimators of the parameters and their confidence intervals are derived. By applying Markov Chain Monte Carlo techniques, Bayes estimators, and corresponding highest posterior density confidence intervals of parameters are obtained. The expected time required to complete the life test under this censoring scheme is investigated. Monte Carlo simulations are performed to compare the performances of the different methods, and one data set is analyzed for illustrative purposes. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

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