Power divergence approach for one-shot device testing under competing risks

Most work on one-shot devices assume that there is only one possible cause of device failure. However, in practice, it is often the case that the products under study can experience any one of various possible causes of failure. Robust estimators and Wald-type tests are developed here for the case o...

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Bibliographic Details
Authors: Balakrishnan, Narayanaswamy, Castilla González, Elena María, Martín Apaolaza, Nirian, Pardo Llorente, Leandro
Format: article
Publication Date:2022
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/71936
Online Access:https://hdl.handle.net/20.500.14352/71936
Access Level:Open access
Keyword:519.22
One-shot devices
Robustness
Reliability
Minimum DPD estimators
Wald-type tests
Estadística matemática (Matemáticas)
1209 Estadística
Description
Summary:Most work on one-shot devices assume that there is only one possible cause of device failure. However, in practice, it is often the case that the products under study can experience any one of various possible causes of failure. Robust estimators and Wald-type tests are developed here for the case of one-shot devices under competing risks. An extensive simulation study illustrates the robustness of these divergence-based estimators and test procedures based on them. A data-driven procedure is proposed for choosing the optimal estimator for any given data set which is then applied to an example in the context of survival analysis.