Entropie, paramètres thermodynamiques, information associée aux événements et aux expériences
Equivalencia de problemas de decisión.
En este trabajo se introduce una definición de equivalencia de problemas de decisión. Los resultados y ejemplos que presentamos muestran que esta definición de equivalencia se adapta bien a la metodología de la estadística.
Estimation of intersection intensity in a Poisson process of segments
The minimum variance unbiased estimator of the intensity of intersections is found for stationary Poisson process of segments with parameterized distribution of primary grain with known and unknown parameters. The minimum variance unbiased estimators are compared with commonly used estimators.
Estimation of parameters in a network reliability model with spatial dependence
An iterative method based on a fixed-point property is proposed for finding maximum likelihood estimators for parameters in a model of network reliability with spatial dependence. The method is shown to converge at a geometric rate under natural conditions on data.
Estimation of parameters in a network reliability model with spatial dependence
An iterative method based on a fixed-point property is proposed for finding maximum likelihood estimators for parameters in a model of network reliability with spatial dependence. The method is shown to converge at a geometric rate under natural conditions on data.
Estimation of the Parameters of the PARETO Distribution
Estimation variances for parameterized marked Poisson processes and for parameterized Poisson segment processes
A complete and sufficient statistic is found for stationary marked Poisson processes with a parametric distribution of marks. Then this statistic is used to derive the uniformly best unbiased estimator for the length density of a Poisson or Cox segment process with a parametric primary grain distribution. It is the number of segments with reference point within the sampling window divided by the window volume and multiplied by the uniformly best unbiased estimator of the mean segment length.
Estudio de una medida para la incertidumbre correspondiente a las utilidades.
En este trabajo se propone y estudia una medida para la incertidumbre correspondiente a las utilidades, o inquietud. Este concepto recibe por vez primera un tratamiento matemático. En la etapa inicial del trabajo se consideran conjuntos constituidos por resultados elementales, y en una segunda etapa se consideran conjuntos constituidos por pares de resultados.
Existence, Consistency and computer simulation for selected variants of minimum distance estimators
The paper deals with sufficient conditions for the existence of general approximate minimum distance estimator (AMDE) of a probability density function on the real line. It shows that the AMDE always exists when the bounded -divergence, Kolmogorov, Lévy, Cramér, or discrepancy distance is used. Consequently, consistency rate in any bounded -divergence is established for Kolmogorov, Lévy, and discrepancy estimators under the condition that the degree of variations of the corresponding family...
Existence of Sufficient Regular Conditional Probabilities.
Extensión del concepto de energía informacional de Onicescu basado en el análisis no estandar.
En esta comunicación, a partir del concepto de energía informacional de Onicescu para variables aleatorias discretas, se da el concepto de energía informacional para cualquier tipo de variables aleatorias como una extensión del anterior basándonos en el análisis no estándar de Robinson (1960). Se estudian sus propiedades y se analiza, en particular, su comportamiento con respecto a la energía informacional de Onicescu en caso de variables aleatorias continuas.
Extensions of the Frisch-Waugh-Lovell Theorem
In this paper we introduce extensions of the so-called Frisch-Waugh-Lovell Theorem. This is done by employing the close relationship between the concept of linear sufficiency and the appropriate reduction of linear models. Some specific reduced models which demonstrate alternatives to the Frisch-Waugh-Lovell procedure are discussed.
Extensions of the parametric families of divergences used in statistical inference