The mixed exponential failure process
Abstract
The 'mixed exponential failure process' is presently characterized by means of a timedependent distribution from which the random hazard rate is obtained directly, rather than as the ratio of a given failure distribution to a corresponding reliability. Attention is given to the timedependent distribution's 'characteristic function' (CF); the random hazard rate is shown to also be expressible as a singularity of the CF in the complex zplane whose location is related to the random hazard rate. Also defined is a nonhomogeneous secondorder differential equation for which the mixing distribution is a particular solution. Interdisciplinary applications of the mixing procedure are discussed.
 Publication:

Annual Reliability and Maintainability Symposium
 Pub Date:
 1991
 Bibcode:
 1991arm..symp..226M
 Keywords:

 Distribution Functions;
 Exponential Functions;
 Failure Analysis;
 Reliability Analysis;
 Analog Circuits;
 Bessel Functions;
 Electric Filters;
 Laplace Transformation;
 Photometers;
 Quality Assurance and Reliability