Bootstrapping Analysis of Lifetime Data with Subsampling

Bootstrapping Analysis of Lifetime Data with Subsampling

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Article ID: iaor20162858
Volume: 32
Issue: 5
Start Page Number: 1945
End Page Number: 1953
Publication Date: Jul 2016
Journal: Quality and Reliability Engineering International
Authors: , , , ,
Keywords: statistics: empirical, statistics: distributions, statistics: sampling
Abstract:

Because of cost and time limitations, reliability experiments frequently contain subsampling, which is a restriction on randomization. A two‐stage approach can analyze right censored Weibull distributed reliability data with subsampling. However, in implementing such a method, we found that it did not address the problems of how to perform confidence intervals of low percentiles and reduce the bias of estimates. In this paper, we present a two‐stage bootstrapping approach and an unbiasing factor approach to solve the aforementioned problems. An example is provided to illustrate the proposed method. In addition, the proposed method is compared with existing methods through simulation. The resulting simulations show that the proposed method performs well in low percentiles.

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