Exact prediction intervals for future exponential and Pareto lifetimes based on ordered ranked set sampling of non-random and random size

H. M. Barakat () and Haidy A. Newer
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H. M. Barakat: Zagazig University
Haidy A. Newer: Ain-Shams University

Statistical Papers, 2022, vol. 63, issue 6, No 5, 1827 pages

Abstract: Abstract In the present paper, two pivotal statistics are suggested to construct prediction intervals of future observations from the exponential and Pareto distributions in the context of ordered ranked set sample. Our study encompasses two cases. The first case, when the sample size is assumed to be fixed and the second case when the sample size is assumed to be a positive integer-valued random variable. In addition to deriving explicit forms for the distribution functions of the two pivotal statistics, we consider some special cases for the random size of the sample. Moreover, a simulation study is carried out to assess the efficiency of the suggested methods. Finally, an example representing lifetime data is analyzed.

Keywords: Ordered ranked set sampling; Random sample size; Predicative interval; Probability coverage; Monte Carlo simulation; 62E15; 62G30; 62G32; 62M20; 62F25 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00362-022-01295-y

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