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The Bivariate Normal Copula [PDF]
We collect well known and less known facts about the bivariate normal distribution and translate them into copula language. In addition, we prove a very general formula for the bivariate normal copula, we compute Gini's gamma, and we provide improved bounds and approximations on the diagonal.
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A class of bivariate copula mappings
Fuzzy Sets and Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martynas Manstavicius +1 more
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A Note on the Compatibility of Bivariate Copulas
Communications in Statistics - Theory and Methods, 2014This article answers to a problem by Kolesarova, Mesiar, and Sempi about the class of all copulas that are compatible with two given bivariate copulas A and B. It is shown that, even if A and B are not completely dependent, the class of all copulas compatible with A and B may consist of a singleton.
Durante F, Fernández-Sánchez J
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Generalized bivariate copulas and their properties
Model Assisted Statistics and Applications, 2011Copulas are useful devices to explain the dependence structure among variables by eliminating the influence of marginals. In this paper, we propose a new class of bivariate copulas to quantify dependency and incorporate it into various iterated copula families.
Jong-Min Kim 0001 +3 more
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Bivariate copulas generated by perturbations
Fuzzy Sets and Systems, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fabrizio Durante +2 more
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A new class of bivariate copulas
Statistics & Probability Letters, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rodríguez-Lallena, José Antonio +1 more
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Semiparametric bivariate Archimedean copulas
Computational Statistics & Data Analysis, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Miguel Hernández-Lobato +1 more
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Communications in Statistics Part B: Simulation and Computation, 2000
Quantile functions associated with bivariate copulas are considered. Some of their structural properties are studied. Quantile functions allow one to express the cdf of the random variable C(X, Y), where (X, Y) is distributed as C(x, y) and where C is a copula. Quantile functions provide also a simple algorithm for simulating random observations.
Abderrahmane Chakak, M. Ezzerg
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Quantile functions associated with bivariate copulas are considered. Some of their structural properties are studied. Quantile functions allow one to express the cdf of the random variable C(X, Y), where (X, Y) is distributed as C(x, y) and where C is a copula. Quantile functions provide also a simple algorithm for simulating random observations.
Abderrahmane Chakak, M. Ezzerg
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Bivariate Option Pricing With Copulas
Applied Mathematical Finance, 2002The adoption of copula functions is suggested in order to price bivariate contingent claims. Copulas enable the marginal distributions extracted from vertical spreads in the options markets to be imbedded in a multivariate pricing kernel. It is proved that such a kernel is a copula function, and that its super-replication strategy is represented by the
Elisa Luciano, Umberto Cherubini
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Construction of bivariate S-distributions with copulas
Computational Statistics & Data Analysis, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lining Yu, Eberhard O. Voit
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