Papers by Mariela Fernández
ABSTRACT The Asymmetric Cubic Sections copula family is used to describe the dependence between l... more ABSTRACT The Asymmetric Cubic Sections copula family is used to describe the dependence between language and mathematics scores of admission test. The parameters of the copula are annually estimated by means of a non-informative Bayesian method. The application focus on measuring the impact of conditioning language result to a mathematics minimum grade and vice-versa, this paper shows some initial results in that line. In addition, the analytical expression for each conditional expectation is shown together with a description of its monotonic behavior.
Mathematical Methods in the Applied Sciences, 2014
ABSTRACT A family of conjugated distributions for a given type of copulas is defined in this pape... more ABSTRACT A family of conjugated distributions for a given type of copulas is defined in this paper. Those copulas can be written as a mixture of d-dimensional parameter exponential functions. The generalized Farlie–Gumbel–Morgenstern copula is an example of this representation. This family is used to illustrate the estimation technique with real data. Also, the applicability of Bayesian predictive approach is shown in an education policy issue by defining goals for the number of students per class that leads to improve their performance at school. Copyright © 2014 John Wiley & Sons, Ltd.
Economic Quality Control, 2007
In this work we propose a representation of a bivariate density corresponding to the given geomet... more In this work we propose a representation of a bivariate density corresponding to the given geometrical behavior of the marginals. A continuous density with compact support can be approximated by the exponential of an infinite polynomial. We find intervals for the possible values of its coefficients in the simplest cases upon the available information about the marginals.
AIP Conference Proceedings
ABSTRACT In this paper it was applied a new Bayesian approach to model the dependence between two... more ABSTRACT In this paper it was applied a new Bayesian approach to model the dependence between two variables of interest in public policy: "Gonorrhea Rates per 100,000 Population" and "400% Federal Poverty Level and over" with a small number of paired observations (one pair for each U.S. state). We use a mixture of Gumbel-Barnett copulas suitable to represent situations with weak and negative dependence, which is the case treated here. The methodology allows even making a prediction of the dependence between the variables from one year to another, showing whether there was any alteration in the dependence.
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Papers by Mariela Fernández