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This book considers the estimation problem for the unknown parameters of the exponentiated Weibull family in the progressively Type I interval censored and progressive Type II censored with fixed and random removals, where the number of units removed at each failure time follows a binomial distribution. Maximum likelihood estimators of the unknown parameters and the asymptotic variance covariance matrix of estimates are obtained. Results for exponential and Weibull failure distributions by presented in the literatures can be obtained as a special cases. The time required to complete the test...

we shall establish several recurrence relations for the single and product moments of order statistics arising from n non-identically distribution. These recurrence relations are simple in nature and could be applied systematically in order to compute all the single and the product moments of order statistics for all values of in a simple recursive manner. The results for the case when the order statistics arise from a multiple-outlier model (with a slippage of observations) from the same distributions as special cases.