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Generalized regression estimation for continuous time processes with values in functional spaces

Bertrand Maillot, Christophe Chesneau (2021)

Commentationes Mathematicae Universitatis Carolinae

We consider two continuous time processes; the first one is valued in a semi-metric space, while the second one is real-valued. In some sense, we extend the results of F. Ferraty and P. Vieu in ``Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination'' (2004), by establishing the convergence, with rates, of the generalized regression function when a real-valued continuous time response is considered. As corollaries, we deduce the...

Geometría estadística en los espacios de distancia y secuencia: dos aplicaciones.

Eladio Barrio, Celia Buades, Andrés Moya (1992)

Qüestiió

La Geometría estadística es un método complementario a los desarrollados hasta el momento para la inferencia y evaluación de las relaciones filogenéticas entre entidades emparentadas, y que permite decidir si la estructura filogenética obtenida tiene una configuración de árbol, de estrella o de red.El objetivo de este trabajo consiste en poner de manifiesto que, si bien la geometría estadística puede ayudar a decidir entre grandes topologías, no puede decidir entre tipos específicos de topologías....

Geometric infinite divisibility, stability, and self-similarity: an overview

Tomasz J. Kozubowski (2010)

Banach Center Publications

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 N p components for each p ∈ (0,1), where N p 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....

George P. H. Styan - a celebration

Carlos A. Coelho (2013)

Discussiones Mathematicae Probability and Statistics

The first time I met George Styan was in July 2004 in Lisbon when he was on his way to the 11th ILAS Conference in Coimbra. But George had already been in Portugal before and I learned how much he was fond of Conventual, a very fine and nice old style restaurant in Lisbon. Then I also learned that George really is an appreciator of good food and a very well-educated wine drinker. With this detail in common it was really easy to become a good friend with George. Since...

Gini indices and the moments of the share density function

Petr Zizler (2014)

Applications of Mathematics

The expected value of the share density of the income distribution can be expressed in terms of the Gini index. The variance of the share density of the income distribution is interesting because it gives a relationship between the first and the second order Gini indices. We find an expression for this variance and, as a result, we obtain some nontrivial bounds on these Gini indices. We propose new statistics on the income distribution based on the higher moments of the share density function. These...

Global approximations for the γ-order Lognormal distribution

Thomas L. Toulias (2013)

Discussiones Mathematicae Probability and Statistics

A generalized form of the usual Lognormal distribution, denoted with γ , is introduced through the γ-order Normal distribution γ , with its p.d.f. defined into (0,+∞). The study of the c.d.f. of γ 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

Roger M. Cooke, Sassan Saatchi, Stephen Hagen (2016)

Dependence Modeling

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.

Global information in statistical experiments and consistency of likelihood-based estimates and tests

Igor Vajda (1998)

Kybernetika

In the framework of standard model of asymptotic statistics we introduce a global information in the statistical experiment about the occurrence of the true parameter in a given set. Basic properties of this information are established, including relations to the Kullback and Fisher information. Its applicability in point estimation and testing statistical hypotheses is demonstrated.

Global robust output regulation of a class of nonlinear systems with nonlinear exosystems

Yuan Jiang, Ke Lu, Jiyang Dai (2020)

Kybernetika

An adaptive output regulation design method is proposed for a class of output feedback systems with nonlinear exosystem and unknown parameters. A new nonlinear internal model approach is developed in the present study that successfully converts the global robust output regulation problem into a robust adaptive stabilization problem for the augmented system. Moreover, an output feedback controller is achieved based on a type of state filter which is designed for the transformed augmented system....

Global statistical information in exponential experiments and selection of exponential models

Igor Vajda, E. van der Meulen (1998)

Applications of Mathematics

The concept of global statistical information in the classical statistical experiment with independent exponentially distributed samples is investigated. Explicit formulas are evaluated for common exponential families. It is shown that the generalized likelihood ratio test procedure of model selection can be replaced by a generalized information procedure. Simulations in a classical regression model are used to compare this procedure with that based on the Akaike criterion.

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