An overview of Bayesian prediction of future record statistics using upper record ranked set sampling scheme

Message:
Article Type:
Review Article (دارای رتبه معتبر)
Abstract:

Two sample prediction is considered for a one-parameter exponential distribution‎. ‎In practical experiments using sampling methods based on different schemes‎ ‎is crucial‎. This paper addresses the problem of Bayesian prediction of record values from a future sequence‎, ‎based on an upper record ranked set sampling scheme‎. First‎, ‎under an upper record ranked set sample (RRSS) and different values of hyperparameters‎, ‎point predictions have been studied with respect to both symmetric and asymmetric loss functions‎. ‎These predictors are compared in the sense of their mean squared prediction errors‎. ‎Next‎, we have derived two prediction intervals for future record values‎. ‎Prediction intervals are compared in terms of coverage probability and expected length‎. ‎Finally‎, a simulation study is performed to compare the performances of the predictors‎. ‎The real data set is also analyzed for an illustration of the findings.‎

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
493 to 507
https://www.magiran.com/p2261230  
سامانه نویسندگان
  • Golzade Gervi، Ehsan
    Corresponding Author (1)
    Golzade Gervi, Ehsan
    Assistant Professor Department of Statistics, University of Payame Noor, 19395-4697 Tehran, Iran, Payame Noor University, Tehran, Iran
  • Nasiri، Parviz
    Author (2)
    Nasiri, Parviz
    Full Professor Department of Statistics, Payame Noor University, Tehran, Iran
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