Notes on Entropy for Concomitants of Record Values in Farlie-Gumbel-Morgenstern (FGM) Family
نویسندگان
چکیده
منابع مشابه
Shannon Information for Concomitants of Generalized Order Statistics in Farlie-Gumbel-Morgenstern(FGM)Family
In the present paper Shannon’s entropy for concomitants of generalized order statistics in FGM family is obtained. Application of this result is given for order statistics, record values, k-record values, and progressive type II censored order statistics. Also, we show that the Kullback-Leibler distance among the concomitants of generalized order statistics is distributionfree.
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In a sequence of random variables, record values are observations that exceed or fall below the current extreme value.Now consider a sequence of pairwise random variables {(Xi,Yi), i>=1}, when the experimenter is interested in studying just thesequence of records of the first component, the second component associated with a record value of the first one is termed the concomitant of that ...
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In this paper, the concomitants of case-II of generalized order statistics from Farlie-Gumbel-Morgenstern (FGM) distributions and recurrence relations between their moments are studied. Further, we provide the minimum variance linear unbiased estimator of the location and scale parameters of the concomitants of ordinary order statistics from some distributions.
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We consider a generalization of the bivariate Farlie-Gumbel-Morgenstern (FGM) distribution by introducing additional parameters. For the generalized FGM distribution, the admissible range of the association parameter allowing positive quadrant dependence property is shown. Distributional properties of concomitants for this generalized FGM distribution are studied. Recurrence relations between m...
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‎In this paper‎, ‎we have dealt with the distribution theory of concomitants of order statistics arising from Farlie-Gumbel-Morgenstern bivariate Lomax distribution‎. ‎We have discussed the estimation of the parameters associated with the distribution of the variable Y of primary interest‎, ‎based on the ranked set sample defined by ordering the marginal observations...
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ژورنال
عنوان ژورنال: Journal of Data Science
سال: 2021
ISSN: 1680-743X,1683-8602
DOI: 10.6339/jds.201301_11(1).0004