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Convergencia del vector de probabilidad a posteriori bajo una distribución predictiva.

Julián de la Horra (1986)

Trabajos de Estadística

La convergencia casi segura de una sucesión de variables aleatorias, con respecto a PX,Q (distribución predictiva), se estudia en relación con la convergencia casi segura, con respecto a PX,θ (para todo θ ∈ Θ), donde {PX,θ}θ ∈ Θ es una familia de modelos de probabilidad sobre el espacio muestral χ.Como consecuencia, se estudia la convergencia casi segura del vector de probabilidad a posteriori con respecto a PX,Q.

Discrete generalized Liouville-type distribution and related multivariate distributions.

G. S. Lingappaiah (1984)

Trabajos de Estadística e Investigación Operativa

Discrete analogue of the Liouville distribution is defined and is termed as Discrete Generalized Liouville-Type Distribution (DGL-TD). Firstly, properties in its factorial and ordinary moments are given. Then by finding the covariance matrix, partial and multiple correlations for DGL-TD are evaluated. Multinomial, multivariate negative binomial and multivariate log series distributions are shown as particular cases of this general distribution. The asymptotic distribution of the estimates of the...

Distribuciones neutras, propensas y resistentes a datos atípicos.

Paloma Main Yaque (1987)

Trabajos de Estadística

Se analizan los conceptos de función de distribución propensa, neutra y resistente a producir datos atípicos dependiendo del comportamiento asintótico de la diferencia y la razón de los dos extremos superiores.Posteriormente se caracterizan las primeras definiciones con propiedades de la cola derecha de la función de distribución.

Effective WLLN, SLLN and CLT in statistical models

Ryszard Zieliński (2004)

Applicationes Mathematicae

Weak laws of large numbers (WLLN), strong laws of large numbers (SLLN), and central limit theorems (CLT) in statistical models differ from those in probability theory in that they should hold uniformly in the family of distributions specified by the model. If a limit law states that for every ε > 0 there exists N such that for all n > N the inequalities |ξₙ| < ε are satisfied and N = N(ε) is explicitly given then we call the law effective. It is trivial to obtain an effective statistical...

Empirical analysis of current status data for additive hazards model with auxiliary covariates

Jianling Zhang, Mei Yang, Xiuqing Zhou (2021)

Kybernetika

In practice, it often occurs that some covariates of interest are not measured because of various reasons, but there may exist some auxiliary information available. In this case, an issue of interest is how to make use of the available auxiliary information for statistical analysis. This paper discusses statistical inference problems in the context of current status data arising from an additive hazards model with auxiliary covariates. An empirical log-likelihood ratio statistic for the regression...

Estimación no paramétrica de curvas notables para datos dependientes.

Juan Manuel Vilar Fernández (1989)

Trabajos de Estadística

Sea {Xt: t ∈ Z} una serie de tiempo estacionaria, con valores en Rp, verificando la condición de ser α-mixing o L2-estable. A partir de una muestra de tamaño n se define una amplia clase de estimadores no paramétricos de la función de densidad f(x) asociada al proceso, y de la función de autorregresión de orden k:r(y) = E(g(Xt+1)/(Xt-k+1 ... Xt) = y), y ∈ Rksiendo g una función real.Se estudian las siguientes propiedades asintóticas de estos estimadores: consistencia puntual (casi segura y en media...

Estimators for epidemic alternatives

Marie Hušková (1995)

Commentationes Mathematicae Universitatis Carolinae

We introduce and study the behavior of estimators of changes in the mean value of a sequence of independent random variables in the case of so called epidemic alternatives which is one of the variants of the change point problem. The consistency and the limit distribution of the estimators developed for this situation are shown. Moreover, the classical estimators used for `at most change' are examined for the studied situation.

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