Date of Award:
Master of Science (MS)
Mathematics and Statistics
Department name when degree awarded
Ronald V. Canfield
A new model developed for the entire bathtub-shaped hazard rate curve has been evaluated as to its usefulness as a method of reliability estimation. The model is of the form:
F(t) = 1 - exp - (ϴ1tL + ϴ2t + ϴ3tM)
where "L" and "M" were assumed known.
The estimate of reliability obtained from the new model was compared with the traditional restricted sample estimate for four different time intervals and was found to have less bias and variance for all time points.
The was a monte carlo study and the data generated showed that the new model has much potential as a method for estimating reliability. (51 pages)
Leithead, Glen S., "Model for Bathtub-Shaped Hazard Rate: Monte Carlo Study" (1970). All Graduate Theses and Dissertations. 6840.