Bayesian interval estimation for the two-parameter exponential distribution based on the right type II censored samplex of Rayleigh lifetime distribution under progressive type I interval censoring

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Title:	Bayesian interval estimation for the two-parameter exponential distribution based on the right type II censored samplex of Rayleigh lifetime distribution under progressive type I interval censoring
Authors:	Wu, Shu-Fei
Keywords:	right type II censored sample;exponential distribution;Bayesian estimation
Date:	2022-02-10
Issue Date:	2023-04-28 17:33:40 (UTC+8)
Publisher:	MDPI AG
Abstract:	The Bayesian interval estimation of the scale parameter for two-parameter exponential distribution is proposed based on the right type II censored sample. Under this type of censoring, two methods of Bayesian joint confidence region of the two parameters are also proposed. The simulation results show that the Bayesian method has a higher coverage probability than the existing method, so the Bayesian method is recommended for use. This research is related to the topic of asymmetrical probability distributions and applications across disciplines. The predictive interval of the future observation based on the right type II censored sample is also provided. One biometrical example is given to illustrate the proposed methods for the Bayesian interval estimations and prediction interval.
Relation:	Symmetry 14(2), 352
DOI:	10.3390/sym14020352
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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