Inconsistency of Statistical Tests to Discriminate Lifetime Distributions and lines of Indistinguishabilty in Uniform Metric
The lifetime of a product can be measured in miles, hours, cycles or any other metric that applies to the success of a particular product. The lifetime distribution method is widely used in the engineering and biomedical applications; In this thesis, I focus on the three most commonly used lifetime distributions: Gamma distribution, Weibull distribution, and Generalized Exponential distribution. Although all three distributions have successfully served as population models for evaluating the lifetime of product, they have different characteristics. Therefore, it is necessary to distinguish the correct model specifications in the lifetime analysis. My thesis investigates the inconsistency of the statistical test to discriminate between these lifetime distributions and lines of indistinguishability in the uniform metric.
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Faculty of Graduate Studies and Research, University of Regina