Exact Moments of Generalized Akash Order Statistics
Keywords:Best linear unbiased estimator, lifetime distribution, location and scale parameters, order statistics, type-II censoring
A generalized Akash distribution (GAD) has been proposed recently to analyze the lifetime data. For this distribution, exact explicit expressions for single moments, product moments, marginal moment generating functions and joint moment generating functions of order statistics are derived. By using these, the expected values, second moments, variances and covariances of order statistic from
sample of sizes up to 10 for various values of the parameters are shown. In addition, best linear unbiased estimates of the parameters from location-scale GAD based on Type-II right-censored sample are obtained by using the derived moments.
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