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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:
Metwally AlAwadi Elsayed AlAwadi
Staff Zu Site
Abstract In Staff Site
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.
Author Related Publications
Metwally AlAwadi Elsayed AlAwadi, "Asymptotic Properties of Multivariate Order Statistics with Random Index", .Bull. Malays. Math. Sci. Soc, 2015
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Metwally AlAwadi Elsayed AlAwadi, "Sarmanov Family of Bivariate Distributions: Statistical Properties—Concomitants of Order Statistics—Information Measures", ٍSpringer, 2022
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Metwally AlAwadi Elsayed AlAwadi, "ON CONCOMITANTS OF GENERALIZED ORDER STATISTICS FROM GENERALIZED FGM FAMILY UNDER A GENERAL SETTING", De Gruyter, 2022
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Metwally AlAwadi Elsayed AlAwadi, "Information measures in records and their concomitants arising from Sarmanov family of bivariate distributions", Elsevier, 2022
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Metwally AlAwadi Elsayed AlAwadi, "Limit theorems for random maximum of independent and non-identically distributed random vectors", Statistics, 2013
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