Inference for a constant-partially accelerated life tests with competing risks for failure from Burr distribution under progressively type-I interval censoring

Ruibing Wang; Yimin Shi

doi:10.1117/12.2627491

22 April 2022 Inference for a constant-partially accelerated life tests with competing risks for failure from Burr distribution under progressively type-I interval censoring

Ruibing Wang, Yimin Shi

Author Affiliations +

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121634L (2022) https://doi.org/10.1117/12.2627491
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

In this paper, the constant-partially accelerated life tests under progressively type-I interval censoring is considered when the competing risks product follow Burr (c,k) distributions. The estimates of the unknown parameters of the different causes are obtained through a maximum likelihood method, and the Fisher information matrix is derived too. The asymptotic and bootstrap confidence intervals are given by using the asymptotic normality theory and parametric bootstrap method. Based on the Fisher information matrix, we also discuss the problem of optimal sample size allocation at each stress level. Finally, a simulation study is carried out to illustrate the performance of the proposed methods.

Citation Download Citation

Ruibing Wang and Yimin Shi "Inference for a constant-partially accelerated life tests with competing risks for failure from Burr distribution under progressively type-I interval censoring", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121634L (22 April 2022); https://doi.org/10.1117/12.2627491

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