A SIMPLE METHOD OF CONSTRUCTING PREDICTORS OF FUTURE ORDER STATISTICS FROM THE TWO-PARAMETER WEIBULL DISTRIBUTION

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This article proposes a simple method of constructing predictors of future order statistics based on the type II censored samples from the two-parameter Weibull distribution for the case of one sample problem. The proposed method is based on using the FLUP type predictors and the approximate moments of the order statistics. The former is constructed using the MLEs of the shape and scale parameters. The latter is given by inverse expansion of the distribution function. From the comparison with some known predictors, the proposed predictors are shown to be very simple and to have high efficiency.This article proposes a simple method of constructing predictors of future order statistics based on the type II censored samples from the two-parameter Weibull distribution for the case of one sample problem. The proposed method is based on using the FLUP type predictors and the approximate moments of the order statistics. The former is constructed using the MLEs of the shape and scale parameters. The latter is given by inverse expansion of the distribution function. From the comparison with some known predictors, the proposed predictors are shown to be very simple and to have high efficiency.

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