TY  - JOUR
PY  - 1989//
TI  - Maximum likelihood estimation of convex arrival rate
JO  - Biometrika
A1  - Pang, Ching-fai
A1  - Thompson, W. A.
A1  - Fallahi, Hamid
SP  - 626
EP  - 628
VL  - 76
IS  - 3
N2  - 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 /> 
LA  - 
SN  - 0006-3444
UR  - http://dx.doi.org/10.1093/biomet/76.3.626
ID  - ref1
ER  -