Results 1 to 10 of about 31 (30)

Measures of concordance determined by D4‐invariant copulas

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3867-3875, 2004., 2004
A continuous random vector (X, Y) uniquely determines a copula C : [0, 1] 2 → [0, 1] such that when the distribution functions of X and Y are properly composed into C, the joint distribution function of (X, Y) results. A copula is said to be D4‐invariant if its mass distribution is invariant with respect to the symmetries of the unit square.
H. H. Edwards   +2 more
wiley   +1 more source

Characterizations of multinomial distributions based on conditional distributions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 595-602, 1996., 1994
Several characterizations of the joint multinomial distribution of two discrete random vectors are derived assuming conditional multinomial distributions.
Khoan T. Dinh   +2 more
wiley   +1 more source

A characterization of matrix variate normal distribution

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 341-346, 1994., 1993
The joint normality of two random vectors is obtained based on normal conditional with linear regression and constant covariance matrix of each vector given the value of the other without assuming the existence of the joint density. This result is applied to a characterization of matrix variate normal distribution.
Khoan T. Dinh, Truc T. Nguyen
wiley   +1 more source

Some functionals for copulas

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 45-53, 1991., 1990
In this paper we study some functionals operating on the set of the n‐copulas defined on [0, 1] n. Conditions under which such functionals are well defined are determined and some counterexamples are described. The study of the fixed points (n‐copulas) for these functionals is also considered, and, finally, some open problems are presented.
C. Alsina, A. Damas, J. J. Quesada
wiley   +1 more source

On a conditional Cauchy functional equation of several variables and a characterization of multivariate stable distributions

open access: yes, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 165-168, 1993.
Arjun K. Gupta   +2 more
wiley   +1 more source

An Alternative Type II Claims Pareto Model for Reliability and Bimodal Risk Analysis: Copulas, Properties, Mathematical Modeling, and Actuarial Case Study

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
This article aims to present a new type‐II claims Pareto extension for statistical reliability and actuarial analysis. The new probabilistic density can be simplified in terms of the baseline densities. Some new bivariate types were developed under some copula approaches.
Atef F. Hashem   +6 more
wiley   +1 more source

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