XI-th INTERNATIONAL SUMMER CONFERENCE ON PROBABILITY AND STATISTICS and SEMINAR ON STATISTICAL DATA ANALYSIS and WORKSHOP ON INDUSTRIAL STATISTICS

In this paper, we obtained some bounds for moments of order statistics from an arbitrary continuous probability distribution. This study considers a robust properties of correlated frailty models. The dependence between related individuals must be considered in order to be studied the difference between the gene information and the environment as causes of death. To do that, we can introduce the frailty parameter Z, which can be decompose as Z = Z g + Z e , where Z g represents the frailty due to the gene information and Z e represents the influence of the environment. Using the W LT E(k) we can obtain a robust maximum likelihood estimation of the unknown parameters of the model. In this work a hybrid quasi-Monte Carlo method is studied for investigation the ultrafast evolution of electron-phonon interaction. The research efforts are directed to solve the Levinson equation which is a particular case of the Barker-Ferry equation with infinite electron lifetime. The properties of the prsented hybrid quasi-Monte Carlo algorithm, such as computational complexity and accuracy, are investigated on a heterogenen local Grid by mixing quasi-random numbers and pseudo-random numbers.. The numerical results are obtain for a physical model with GaAs material parameters in the case of zero electrical field and finite temperature. Abstract: This work is concerned with a class of Schrödinger Process with Unbounded Potentials: a variant of Jamison's theorem is given without the assumption of continuity and of everywhere strict positivity of q. It associates with Jamison data (q, P a , P b), the Csiszar's projection Q * of a reference measure R * on a set E(P a , P b) of probability measures with marginals P a , P b. Existence of a solution to the corresponding Schrödinger's system, construction of the Schrödinger's bridge and variational characterisation of Schrödinger Process are established.