On a Stochastic Failure Model under Random Shocks

On a Stochastic Failure Model under Random Shocks

Study of a Stochastic Failure Model in a Random Environment

Most devices (systems) are operated under different environmental conditions. The failure process of a system not only depends on the intrinsic characteristics of the system itself but also on the external environmental conditions under which the system is being operated. In this paper we study a stochastic failure model in a random environment and investigate the effect of the environmental fa...

A bivariate failure time model with random shocks and mixed effects

Two components are considered, which are subject to common external and possibly fatal shocks. The lifetimes of both components are characterized by their hazard rates. Each shock can cause the immediate failure of either one or both components. Otherwise, the hazard rate of each component is increased by a non fatal shock of a random amount, with possible dependence between the simultaneous in...

Stochastic Learning under Random Reshuffling

In empirical risk optimization, it has been observed that stochastic gradient implementations that rely on random reshuffling of the data achieve better performance than implementations that rely on sampling the data uniformly. Recent works have pursued justifications for this behavior by examining the convergence rate of the learning process under diminishing step-sizes. This work focuses on t...

Smoothing the Shocks of a Dynamic Stochastic General Equilibrium Model

E C O N O M I C R E V I E W Second Quarter 2005 The 2001 recession displayed unique characteristics in comparison to other recessions. Although moderate in terms of the decline in output, the recession was unique in that the contraction in measured output was driven almost entirely by retrenchment in business capital spending. Consumer spending growth remained positive, and residential investme...