Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Bayesian Estimation Based on Learning Rate Parameter Under the Joint Hybrid Censoring Scheme for K Exponential Populations

Version 1 : Received: 2 August 2023 / Approved: 4 August 2023 / Online: 4 August 2023 (08:43:11 CEST)

How to cite: Abdel-Aty, Y.; Kayid, M.; Alomani, G. Bayesian Estimation Based on Learning Rate Parameter Under the Joint Hybrid Censoring Scheme for K Exponential Populations. Preprints 2023, 2023080409. https://doi.org/10.20944/preprints202308.0409.v1 Abdel-Aty, Y.; Kayid, M.; Alomani, G. Bayesian Estimation Based on Learning Rate Parameter Under the Joint Hybrid Censoring Scheme for K Exponential Populations. Preprints 2023, 2023080409. https://doi.org/10.20944/preprints202308.0409.v1

Abstract

Generalized Bayes is a Bayesian approach based on the learning rate parameter η. In this study, we examine the effect of parameter η on the estimation results considering joint type-I and type-II hybrid censored samples from k exponential populations. In addition to the learning rate parameter, we consider two loss functions, the Linex and general entropy loss functions in the Bayesian approach. Monte Carlo simulations are performed to compare the performances of the estimation results under losses and different values of η. An illustrative example is performed to study the effect of the learning rate parameter and the different losses with different parameters.

Keywords

Generalized Bayes; learning rate parameter; exponential distribution; joint hybrid censoring; Linex loss; general entropy loss.

Subject

Computer Science and Mathematics, Probability and Statistics

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