Volume 12, Issue 1 (6-2026)
mmr 2026, 12(1): 78-91 |
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Golzade Gervi E, Mansouri Boroujeni S, Fayyaz Heidari K. On Bayesian Prediction of k-Record Values via Record Ranked Set Sampling Scheme in a Rayleigh Distribution. mmr 2026; 12 (1) :78-91
URL: http://mmr.khu.ac.ir/article-1-3441-en.html
URL: http://mmr.khu.ac.ir/article-1-3441-en.html
1- PNU University , e_golzade_g@pnu.ac.ir
2- PNU University
2- PNU University
Abstract: (231 Views)
In this study, we discuss the prediction of k-record values from a future sequence. By considering the Rayleigh distribution, we derive Bayesian point predictions as well as Bayesian prediction intervals for k-record values when the data is collected by the Record ranked set sampling scheme method. At first, based on Squared error and Linex loss functions, the mean squared prediction errors are applied to comparing these point predictors. Next, to evaluate the prediction intervals, the average interval length and coverage probability are computed. Finally, a simulation study and an application example are presented to compare and show the applicability of the paper’s results.
Keywords: Bayesian point prediction, Bayesian interval prediction, k-Record values, Bayesian predictive density, Record ranked set sampling.
Type of Study: Original Manuscript |
Subject:
stat
Received: 2025/02/7 | Revised: 2026/06/12 | Accepted: 2026/04/14 | Published: 2026/02/26 | ePublished: 2026/02/26
Received: 2025/02/7 | Revised: 2026/06/12 | Accepted: 2026/04/14 | Published: 2026/02/26 | ePublished: 2026/02/26
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