توزیع وایبول-وایبول: برآورد پارامترها تحت سانسور فزایندۀ پیوندی سازوار نوع 2 و پیش‌بینی واحدهای سانسور شده

Subject Areas : Statistics

Alimohammad Beiranvand ¹ , Akram Kohansal ² , Ramin Kazemi ³ , Farshin Hormozinejad ⁴

1 - Department of Mathematics and Statistics, Islamic Azad University, Ahvaz Branch, Ahvaz, Iran.
2 - Department of Statistics, Imam Khomeini International University, Qazvin, Iran
3 - Department of Statistics, Imam Khomeini International University,Qazvin, Iran
4 - Department of Mathematics and Statistics, Islamic Azad University, Ahvaz Branch, Ahvaz, Iran.

Received: 2021-09-16 Accepted : 2022-03-07 Published : 2024-01-18

Keywords: واحدهای سانسور شده, نمونه های سانسور شده, توزیع وایبول-وایبول, برآورد,

Abstract :

The goal of this paper is‎ to study the Weibull-Weibull (WW) distribution under adaptive type-II hybrid progressive censoring‎, Under this censoring,, ‎the distribution parameters are estimated in the classical and Bayesian methods‎. ‎Asymptotic distribution of the parameters and asymptotic confidence intervals are introduced‎. ‎Moreover‎, ‎two bootstrap confidence intervals are achieved‎. ‎The Bayesian estimation of the parameters is approximated by using the Markov Chain Monte Carlo (MCMC) algorithm and Lindley's method due to the lack of explicit forms‎. ‎Furthermore‎, ‎the highest posterior density (HPD) credible intervals of the parameters are derived‎. ‎ ‎Finally‎, ‎the different proposed estimations have been compared by the simulation studies‎. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

References:


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