RELIABILITY STATISTICAL ANALYSIS OF TWO-PARAMETER EXPONENTIAL DISTRIBUTION UNDER CONSTANT STRESS ACCELERATED LIFE TEST WITH INVERSE POWER LAW MODEL

Ronghua Wang; Beiqing Gu; Xiaoling Xu

doi:10.11948/20240017

2024 Volume 14 Issue 5

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Ronghua Wang, Beiqing Gu, Xiaoling Xu. RELIABILITY STATISTICAL ANALYSIS OF TWO-PARAMETER EXPONENTIAL DISTRIBUTION UNDER CONSTANT STRESS ACCELERATED LIFE TEST WITH INVERSE POWER LAW MODEL[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2993-3006. doi: 10.11948/20240017

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Ronghua Wang, Beiqing Gu, Xiaoling Xu. RELIABILITY STATISTICAL ANALYSIS OF TWO-PARAMETER EXPONENTIAL DISTRIBUTION UNDER CONSTANT STRESS ACCELERATED LIFE TEST WITH INVERSE POWER LAW MODEL[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2993-3006. doi: 10.11948/20240017

RELIABILITY STATISTICAL ANALYSIS OF TWO-PARAMETER EXPONENTIAL DISTRIBUTION UNDER CONSTANT STRESS ACCELERATED LIFE TEST WITH INVERSE POWER LAW MODEL

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

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

Abstract

Abstract

Based on the inverse power law model, the maximum likelihood estimation and interval estimation of two-parameter Exponential distribution are derived in detail under constant stress accelerated life test. Secondly, the accuracy of point estimation and interval estimation is investigated by a large number of Monte Carlo simulations. Finally, examples and simulation examples are given to illustrate the application of the proposed method.
- Two-parameter exponential distribution /
- constant stress accelerated life test /
- inverse power law model /
- maximum likelihood estimation /
- interval estimation
MSC: 62N05

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References

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