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Last name: LÓPEZ BLÁZQUEZ
First name: José Fernando
We characterize the family of discrete distributions for which the best mean square error predictor of a future weak record is a linear function of a past or observed weak record.
We study the distribution theory of some statistics related to records from a sequence of geometrically distributed random variables. The main novelty in this study is the introduction of q-calculus techniques. We obtain representations for the probability functions of some variables of interest, such as, for instance, record times, number of...
We obtain the family of distributions for which the regression of one order statistic on another, not necessarily adjacent, is linear. As a consequence, we present a characterization of uniform distributions on an interval. We also characterize the distributions that appear when we impose the condition of linearity of regression for record values.
In this paper we are interested in the joint distribution of two order statistics from overlapping samples. We give an explicit formula for the distribution of such a pair of random variables under the assumption that the parent distribution is absolutely continuous (with respect to the Lebesgue measure on the real line). The distribution is...
La obtención de muestras utilizando el muestreo sistemático es algo que se ha llevado a cabo desde principios del siglo XX, debido a la simplicidad de su manejo. Como inconveniente, los diseños sistemáticos clásicos no son estimables, por lo que no podemos suministrar estimadores directos del error de muestreo cometido. Este inconveniente ha...
We study the Local Influence on the General Linear Model with a perturbation scheme in the variance-covariance matrix of the random errors. The comparison of the results obtained and the conditional bias have been used to get local influence measures. Finally, we introduce the Local Influence Potential for an observation. This function...