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A Comparison of the Prediction of Future Order Statistics for the 2-Parameter Gamma Distribution

Uditha Balasooriya

Open publisher page 5 citations

Abstract

This paper considers the prediction of future order statistics based on type-II censored samples from the 2-parameter gamma distribution with unknown scale parameter and semi-unknown shape parameter. Among the four predictors considered, the cross-validatory predictor performed best in terms of guaranteed efficiency. An advantage of this estimator is that it uses only the mean values of order statistics and not the covariances which are more difficult to compute.

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What this paper is about

This paper considers the prediction of future order statistics based on type-II censored samples from the 2-parameter gamma distribution with unknown scale parameter and semi-unknown shape parameter. Among the four predictors considered, the cross-validatory predictor performed best in terms of guaranteed efficiency. An advantage of this estimator is that it uses only the mean values of order statistics and not the covariances which are more difficult to compute.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper considers the prediction of future order statistics based on type-II censored samples from the 2-parameter gamma distribution with unknown scale parameter and semi-unknown shape parameter. Among the four predictors considered, the cross-validatory predictor performed best in terms of guaranteed efficiency. An advantage of this estimator is that it uses only the mean values of order statistics and not the covariances which are more difficult to compute.

Key concepts: Order statistic, Scale parameter, Statistics, Gamma distribution, Shape parameter, Estimator, Generalized gamma distribution, Mathematics

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