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Inaccuracy measures for concomitants of GOS in Morgenstern family

Authors :
Daneshi, S.
Nezakati, A.
Tahmasebi, S.
Longobardi, M.
Publication Year :
2020

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.

Subjects

Subjects :
Mathematics - Statistics Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2009.01800
Document Type :
Working Paper