Inaccuracy measures for concomitants of GOS in Morgenstern family

TL;DR

This paper introduces a new measure of inaccuracy for concomitants of generalized order statistics within the Morgenstern family, with applications to order statistics and record values, and explores estimation methods for cumulative past inaccuracy.

Contribution

It develops a novel inaccuracy measure for concomitants of generalized order statistics and investigates its applications and estimation techniques within the Morgenstern family.

Findings

Derived a measure of inaccuracy for concomitants in Morgenstern family

Applied the measure to order statistics and record values

Proposed estimation method for cumulative past inaccuracy

Abstract

In this paper, we obtain a measure of inaccuracy between rth concomitant of generalized order statistic and the parent random variable in Morgenstern family. Applications of this result are given for concomitants of order statistics and record values. We also study some results of cumulative past inaccuracy (CPI) between the distribution function of rth concomitant of order statistic (record value) and the distribution function of parent random variable. Finally, we discuss on a problem of estimating the CPI by means of the empirical CPI in concomitants of generalized order statistics.