This study constructs a mixed probability distribution using exponential and Rayleigh models, suggesting improved fuzzy reliability methods.
This paper deals with constructing mixed probability distribution from mixing exponential (β) and Rayleigh along with β. Accordingly, the mixing proportions are (α/(α+1)) and (1/(α+1)). At that point, the mixed PDF and CDF were investigated in this study. The mixed reliability has determined based on estimating its two parameters (α,β) by three different methods, which are maximum likelihood, moments and percentiles method. The fuzzy reliability estimators are compared and the results of comparison are explained based on simulation procedure with detailed tables.
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Noaman et al. (2020) studied this question.
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