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An overview of Bayesian prediction of future record statistics using upper record ranked set sampling scheme | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 38، دوره 12، شماره 1، مرداد 2021، صفحه 493-507 اصل مقاله (654.32 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4828 | ||
| نویسندگان | ||
| Ehsan Golzade Gervi1؛ Parviz Nasiri* 2؛ Mahdi Salehi3 | ||
| 1Department of Statistics, University of Payame Noor, 19395-4697 Tehran, Iran | ||
| 2Department of Statistics, University of Payame Noor, 19395-4697 Tehran, Iran | ||
| 3Department of Mathematics and Statistics, University of Neyshabur, Neyshabur, Iran | ||
| تاریخ دریافت: 05 خرداد 1399، تاریخ بازنگری: 07 مهر 1399، تاریخ پذیرش: 24 دی 1399 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Record values؛ Prediction؛ Mean squared prediction error؛ Loss function؛ Coverage probability؛ Record ranked set sampling scheme | ||
| مراجع | ||
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