RELIABILITY ANALYSIS OF MASKED DATA FOR EXPONENTIALLY DISTRIBUTED COMPONENTS UNDER MULTIPLE TYPE-Ⅱ CENSORING

Ronghua Wang; Beiqing Gu; Xiaoling Xu

doi:10.11948/20250074

2025 Volume 15 Issue 6

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Article navigation > Journal of Applied Analysis & Computation > 2025 > 15(6): 3826-3849

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Ronghua Wang, Beiqing Gu, Xiaoling Xu. RELIABILITY ANALYSIS OF MASKED DATA FOR EXPONENTIALLY DISTRIBUTED COMPONENTS UNDER MULTIPLE TYPE-Ⅱ CENSORING[J]. Journal of Applied Analysis & Computation, 2025, 15(6): 3826-3849. doi: 10.11948/20250074

Citation:

Ronghua Wang, Beiqing Gu, Xiaoling Xu. RELIABILITY ANALYSIS OF MASKED DATA FOR EXPONENTIALLY DISTRIBUTED COMPONENTS UNDER MULTIPLE TYPE-Ⅱ CENSORING[J]. Journal of Applied Analysis & Computation, 2025, 15(6): 3826-3849. doi: 10.11948/20250074

RELIABILITY ANALYSIS OF MASKED DATA FOR EXPONENTIALLY DISTRIBUTED COMPONENTS UNDER MULTIPLE TYPE-Ⅱ CENSORING

1.
Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
2.
School of Statistics and Data Science, Shanghai University of International Business and Economics, Shanghai 201620, China

Author Bio: Email: wrhxxl@shnu.edu.cn(R. Wang); Email: xlxu@suibe.edu.cn(X. Xu)
Corresponding author: Email: gubeiqing@suibe.edu.cn(B. Gu)

Abstract

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.
- Multiple type-Ⅱ censoring /
- exponential distribution /
- masked data /
- series system /
- parallel system.
MSC: 62N05

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References

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