Titlebook: Distributions with given Marginals and Moment Problems; Viktor Bene?,Josef ?těpán Book 1997 Springer Science+Business Media Dordrecht 1997

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Maximum Entropy Distributions with Prescribed Marginals and Normal Score Correlations,ces of uncertainty are for instance: initial values, boundary conditions, parameter values, exogenous variables. Often, uncertainties are accounted for by randomness of these sources. Thus, the specification of the multivariate probability distribution of the sources constitutes a basic problem of u

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,On Bivariate Distributions with Polya-Aeppli or Lüders-Delaporte Marginals,erpretation of random phenomena in biological and actuarial problems, among others. When a univariate distribution arises as a mixture, ‘natural’ bivariate versions of this distribution can often be introduced, using ‘mixing’ procedures.

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On Approximation of Copulas,most commonly used limit for copulas is the uniform limit. However the uniform limit is not completely satisfactory in that, on the one hand, any copula can be approximated arbitrarily closely by invertible copulas and, on the other hand, the * operation of Darsow, Nguyen, and Olsen is not jointly c

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Continuous Scaling on a Bivariate Copula,ability of a random variable in a countable set of principal axes. (1996a) introduced related metric scaling, a technique to construct a joint distance on a finite set from two marginal distances, with applications to representing categorical data. In this contribution related metric scaling is exte

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How to Construct a Two Dimensional Random Vector with a Given Conditional Structure,is called a .-vector, a rich .-vector and an extremal .-vector if (almost surely w.r.t . has the maximal possible support among the distributions in . is an extremal measure in ., respectively. The purpose of the paper is to find sufficient conditions for the existence of .-vectors, to cover the sit

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