Soft modelling: intermediate between traditional model building and data analysis
La Teoría de Estructuras de Dominación, introducida por P. L. Yu como nuevo procedimiento de solución a problemas multiobjetivo, presenta bastantes lagunas, debidas sin duda a la novedad del tema. Nos hemos propuesto en este trabajo caracterizar completamente los puntos no dominados, por distintos procedimientos, así como seleccionar entre ellos un subconjunto más deseable ("soluciones propias"). Se abordan también condiciones para soluciones no dominadas en el espacio de decisiones.
We solve a recent open problem about a new transformation mapping the set of copulas into itself. The obtained mapping is characterized in algebraic terms and some limit results are proved.
An adaptive estimator (of a slope parameter) based on rank statistics is constructed and its asymptotic optimality is studied. A complete orthonormal system is incorporated in the adaptive determination of the score generating function. The proposed sequential procedure is based on a suitable stopping rule. Various properties of the sequential adaptive procedure and the stopping rule are studied. Asymptotic linearity results of linear rank statistics are also studied and some rates of the convergence...
After recalling previous work on probability generating functions for real valued random variables we extend to these random variables uniform laws of large numbers and functional limit theorem for the empirical probability generating function. We present an application to the study of continuous laws, namely, estimation of parameters of Gaussian, gamma and uniform laws by means of a minimum contrast estimator that uses the empirical probability generating function of the sample. We test the procedure...
In this paper we revisit Haff's seminal work on the matrix Haffian as we proposed to call it. We review some results, and give new derivations. Use is made of the link between the matrix Haffian ∇F and the differential of the matrix function, dF.
The conditional test is compared with other relevant test procedures for testing parameters of Normal and Exponential populations. It is seen that under certain conditions the conditional test is more powerful than the relevant unconditional tests. An example is provided where the conditional test given the ancillary is uniformaly more powerful than the obvious unconditional test.