Use of comparison theorems for solutions of stochastic differential equations is made to prove sufficient conditions for almost sure or stochastic ordering of first passage times of one-dimensional diffusion processes through an assigned boundary. Conditions on boundary and parameters that make orded the first passage time distributions of two different diffusion processes are determined. Some ...

Abstract The survival energy model (SEM) is a recently introduced novel approach to mortality prediction, which offers cohort-wise distribution function of the time death as first hitting “survival energy” diffusion process zero. In this study, we propose SEM that can serve suitable candidate in family prediction models. We also proposed method improve an earlier work. further examine practical...

A subset H f0; 1g n is a Hitting Set for a class R of boolean functions with n inputs if, for any function f 2 R such that Pr (f = 1) (where 2 (0; 1) is some xed value), there exists an element ~ h 2 H such that f (~ h) = 1. The eecient construction of Hitting Sets for non trivial classes of boolean functions is a fundamental problem in the theory of derandomization. Our paper presents a new me...