Prediction of future observations based on ordered extreme k-records ranked set sampling with unequal fixed and random sample sizes

Abstract

The construction of prediction intervals for future Rayleigh observations in the context of ordered extreme k-record ranked set sampling based on unequal random and non-random sample sizes is proposed in this study using two pivotal statistics. The distribution functions of the pivotal statistics are obtained in explicit form. Certain cases for the random sample size are analysed. Moreover, a simulation study is constructed to demonstrate the practical importance of the theoretical results. Finally, two real data sets illustrate and corroborate the theoretical results.