Gamma-Minimax Estimation of a Multivariate Normal Mean.
Gaussian approximation of Gaussian scale mixtures
For a given positive random variable and a given independent of , we compute the scalar such that the distance in the sense between and is minimal. We also consider the same problem in several dimensions when is a random positive definite matrix.
Generación de un sistema bivariante con marginales dadas y estimación de su parámetro de dependencia.
En este trabajo se proponen dos posibles estimadores del parámetro de dependencia de una familia de distribuciones bivariantes con marginales dadas y se realiza un estudio de Monte Carlo de sus respectivos sesgo y eficiencia, a fin de determinar cuál de ambos estimadores es preferible. También se propone y se estudia, de forma similar, una posible versión "Jackknife" del mejor de los dos estimadores anteriores. En este estudio se emplean técnicas de reducción de la varianza. Para poder realizar...
General -estimators in the presence of nuisance parameters. Skew projection technique.
Généralisation de la méthode des partitions centrales
Généralisation du paradoxe de Simpson
Generalización del análisis canónico G2-biparcial.
El análisis canónico parcial introducido por R. B. Rao (1969) fue generalizado por Timm y Carlson (1976) dando lugar al análisis canónico biparcial. Sik-Yumm-Lee (1978) realiza una generalización del modelo biparcial que se concreta en el análisis canónico G2-biparcial.En este trabajo se expone una generalización del análisis canónico G2-biparcial a la que hemos denominado "Análisis canónico C(2n + 1)". Dicho análisis presenta el estudio de las interdependencias entre dos vectores de residuos resultantes...
Generalized covariance inequalities
We prove some inequalities for the difference between a joint distribution and the product of its marginals for arbitrary absolutely continuous random variables. Some applications of the obtained inequalities are also presented.
Generalized F tests and selective generalized F tests for orthogonal and associated mixed models
The statistics of generalized F tests are quotients of linear combinations of independent chi-squares. Given a parameter, θ, for which we have a quadratic unbiased estimator, θ̃, the test statistic, for the hypothesis of nullity of that parameter, is the quotient of the positive part by the negative part of such estimator. Using generalized polar coordinates it is possible to obtain selective generalized F tests which are especially powerful for selected families of alternatives. We build both classes...
Generalized logistic model and its orthant tail dependence
The Multivariate Extreme Value distributions have shown their usefulness in environmental studies, financial and insurance mathematics. The Logistic or Gumbel-Hougaard distribution is one of the oldest multivariate extreme value models and it has been extended to asymmetric models. In this paper we introduce generalized logistic multivariate distributions. Our tools are mixtures of copulas and stable mixing variables, extending approaches in Tawn [14], Joe and Hu [6] and Fougères et al. [3]. The...
Generating valid correlation matrices.
Geometric infinite divisibility, stability, and self-similarity: an overview
The concepts of geometric infinite divisibility and stability extend the classical properties of infinite divisibility and stability to geometric convolutions. In this setting, a random variable X is geometrically infinitely divisible if it can be expressed as a random sum of components for each p ∈ (0,1), where is a geometric random variable with mean 1/p, independent of the components. If the components have the same distribution as that of a rescaled X, then X is (strictly) geometric stable....
Geometric properties of multivariate correlation in de Finetti's approach to insurance theory.
Geometrical aspects of measures of dependence for random vectors
Geometry, statistics and decision making in gene therapy.
Global approximations for the γ-order Lognormal distribution
A generalized form of the usual Lognormal distribution, denoted with , is introduced through the γ-order Normal distribution , with its p.d.f. defined into (0,+∞). The study of the c.d.f. of is focused on a heuristic method that provides global approximations with two anchor points, at zero and at infinity. Also evaluations are provided while certain bounds are obtained.
Global correlation and uncertainty accounting
For a high dimensional field of random variables, global correlation is defined as the ratio of average covariance and average variance, and its elementary properties are studied. Global correlation is used to harmonize uncertainty assessments at global and local scales. It can be estimated by the correlation of random aggregations of fixed size of disjoint sets of random variables. Illustrative applications are given using crop loss per county per year and forest carbon.
Goodman-Kruskal Measure of Association for Fuzzy-Categorized Variables
The Goodman-Kruskal measure, which is a well-known measure of dependence for contingency tables, is generalized to the case when the variables of interest are categorized by linguistic terms rather than crisp sets. In addition, to test the hypothesis of independence in such contingency tables, a novel method of decision making is developed based on a concept of fuzzy -value. The applicability of the proposed approach is explained using a numerical example.
Goodness of fit procedures for the multivariate linear model based on spherical harmonics.
Gordon and Newell Queueing Networks and Copulas