Citation

Pang CHINGFAI, Thompson WA, Fallahi HAMID. Biometrika 1989; 76(3): 626-628.

Copyright

(Copyright © 1989, Biometrika Trust, Publisher Oxford University Press)

DOI

10.1093/biomet/76.3.626

PMID

unavailable

Abstract

It is commonly believed that failures of a repairable system follow a time dependent Poisson process with 'bathtub-shaped' arrival rate. A natural problem then is maximum likelihood estimation of arrival rate subject to the constraint that it be convex. This paper employs theoretical considerations to reduce that task to a finite dimensional nonlinear programming problem and completes the solution by computer. The resulting estimates are interesting graphical presentations of the reliability characteristics of the system.