@article{ref1,
title="Maximum likelihood estimation of convex arrival rate",
journal="Biometrika",
year="1989",
author="Pang, Ching-fai and Thompson, W. A. and Fallahi, Hamid",
volume="76",
number="3",
pages="626-628",
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.<p />",
language="",
issn="0006-3444",
doi="10.1093/biomet/76.3.626",
url="http://dx.doi.org/10.1093/biomet/76.3.626"
}