Work

Reliability Analysis of Masked Data for Exponentially Distributed Components Under Multiple Type-ⅱ Censoring

Year: 2025

Type: article

Abstract: In the case of multiple type-Ⅱ censoring, the maximum likelihood estimations of the parameters are proposed for the masked data of the series system of two components with exponential life distribution (same and different parameters), and the uniqueness of the likelihood equation root is proved. The Bayes point estimations and interval estimations of the parameters are also given under the assumption that the prior distribution is Gamma distribution. Besides, the likelihood function is deduced theoretically for the masked data of the parallel system with two components with exponential life distribution (same parameters), and the uniqueness of maximum likelihood estimation is proved. The Bayes point estimation and interval estimation of the parameter is proposed under the assumption of Gamma distribution. The application of the method is illustrated through simulation data in various situations.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250074

Authors: Ronghua Wang, Beiqing Gu, Xiaoling Xu

Institutions: Shanghai Normal University, Shanghai University of International Business and Economics

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412460927

FWCI:

Cites: 32

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Related to: 10