Estimating Parameters of the Power Law Process with Two Measures of Failure Time

Abstract

We introduce a method of combining two time indices, such as mileage and age, into a single index that resembles the Cobb-Douglas production function. Then we present the power law process with this synthesized time index as a model for the reliability of a repairable system, such as an automobile. For the purpose of estimating parameters, we propose two procedures: one is a modified maximum likelihood procedure and the other a least-squares fitting of the mean value function. The performances of the two estimation procedures are compared and analyzed.

• Least-Squares Estimation
• Maximum Likelihood Estimation
• Mean Value Function
• Weibull Process

Additional information

Notes on contributors

C. W. Ahn

Mr. Ahn is a Ph.D. candidate in the Department of Industrial Engineering.

K. C. Chae

Dr. Chae is a Professor in the Department of Industrial Engineering. He is a Member of ASQ.

Gordon M. Clark

Dr. Clark is Professor Emeritus in the Department of Industrial, Welding and Systems Engineering.