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Chapter 8 Robust inference under the proportional...
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Chapter 8 Robust inference under the proportional hazards model ⍟ ⍟ This book has a companion website hosting complementary materials. Visit this URL to access it: https://data.mendeley.com/datasets/879xmdz3d8/1.

Abstract

In this chapter, we introduce a family of robust estimators and Wald-type tests based on the density power divergence (DPD) measure for one-shot device testing under constant-stress accelerated life tests (CSALTs), with a single failure mode under the proportional hazards model. The proportional hazards model allows the hazard rate to vary in a non-parametric manner. The derived DPD-based estimators and Wald-type tests include the maximum likelihood estimator (MLE) and the classical Wald test, respectively, as a particular case. We develop the influence functions (IFs) of the proposed procedures demonstrating their robustness, and also through an extensive simulation study. Finally, a numerical example on electric current data is used to illustrate the developed results.

Authors

Balakrishnan N; Castilla E

Book title

Statistical Modeling and Robust Inference for One-shot Devices

Pagination

pp. 107-121

Publisher

Elsevier

Publication Date

January 1, 2025

DOI

10.1016/b978-0-44-314153-9.00017-9

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