EXTROPY AND STATISTICAL FEATURES OF DUAL GENERALIZED ORDER STATISTICS' CONCOMITANTS ARISING FROM THE SARMANOV FAMILY

Faculty	Science	Year:	2024
Type of Publication:	ZU Hosted	Pages:	1299-1320
Authors:
Journal:	Mathematica Slovaca De Gruyter	Volume:	74

Keywords :	EXTROPY , STATISTICAL FEATURES , DUAL GENERALIZED ORDER
Abstract:	In this study, we disclose several statistical properties of concomitants of dual generalized order statistics (DGOSs) under a generic setting from the Sarmanov family of bivariate distributions. For this family, cross-moments and joint distributions of concomitants of DGOSs are explored. These results' implications for order statistics and record values are examined. Extropy and cumulative residual extropy (CRE), two well-known information measures, are also investigated. This study offers a few beautiful symmetrical relationships that these inaccuracy measurements satisfy. In addition, based on the concomitants of DGOSs, the issue of estimating the negative cumulative residual extropy (NCRE), empirical NCRE and NCE are investigated using the empirical technique. Lastly, a set of bivariate data from the real world is examined.

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