Predicting laser weld reliability with stochastic reduced‐order models

Stochastic Justification of Some Simple Reliability Models∗

In this paper we derive conditions on the internal wear process under which the resulting time-to-failure model will be of the simple collapsible form (Oakes, 1995, Duchesne and Lawless, 2000) when the usage accumulation history is available. We suppose that failure occurs when internal wear crosses a certain threshold and/or a traumatic event causes the item to fail (Cox, 1999 and Bagdonavičiu...

Stochastic Models for Degradation-Based Reliability

This paper presents a degradation-based procedure for estimating the full and residual lifetime distribution of a single-unit system subject to Markovian deterioration. The hybrid approach unites real degradation measures with analytical, stochastic failure models to numerically compute the distributions and their moments. Two distinct models are shown to perform well when compared with simulat...

Predicting extinction rates in stochastic epidemic models

We investigate the stochastic extinction processes in a class of epidemic models. Motivated by the process of natural disease extinction in epidemics, we examine the rate of extinction as a function of disease spread. We show that the effective entropic barrier for extinction in a susceptible–infected– susceptible epidemic model displays scaling with the distance to the bifurcation point, with ...

Identifiability of Dynamic Stochastic General Equilibrium Models with Covariance Restrictions

This article is concerned with identification problem of parameters of Dynamic Stochastic General Equilibrium Models with emphasis on structural constraints, so that the number of observable variables is equal to the number of exogenous variables. We derived a set of identifiability conditions and suggested a procedure for a thorough analysis of identification at each point in the parameters sp...

Weld Pool Control in Nd : YAG Laser