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

Summary: 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.

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  • Topics:
  • Keywords: Least squares,Values,Maximum likelihood estimate (MLE)
  • Author: Ahn, C.W.; Chae, K.C.; Clark, Gordon M.
  • Journal: Journal of Quality Technology