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Equivalent accelerated life testing plans for log‐location‐scale distributions
Authors:Haitao Liao  Elsayed A Elsayed
Institution:1. Department of Nuclear Engineering, University of Tennessee, Knoxville, Tennessee 37996;2. Department of Industrial and Information Engineering, University of Tennessee, Knoxville, Tennessee 37996;3. Department of Industrial and Systems Engineering, Rutgers University, Piscataway, New Jersey 08854
Abstract:Accelerated life testing (ALT) is widely used to determine the failure time distribution of a product and the associated life‐stress relationship in order to predict the product's reliability under normal operating conditions. Many types of stress loadings such as constant‐stress, step‐stress and cyclic‐stress can be utilized when conducting ALT. Extensive research has been conducted on the analysis of ALT data obtained under a specified stress loading. However, the equivalency of ALT experiments involving different stress loadings has not been investigated. In this article, a log‐location‐scale distribution under Type I censoring is considered in planning ALT. An idea is provided for the equivalency of various ALT plans involving different stress loadings. Based on this idea, general equivalent ALT plans and some special types of equivalent ALT plans are explored. For demonstration, a constant‐stress ALT and a ramp‐stress ALT for miniature lamps are presented and their equivalency is investigated. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010
Keywords:log‐location‐scale distributions  optimal ALT plans  equivalency  type I censoring
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