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Theses/Dissertations

Physical Sciences and Mathematics

1972

<p>Failure time data analysis<br />Estimation theory -- Mathematical models<br />Regression analysis</p>

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Statistical Studies Of Various Time-To-Fail Distributions, James Addison Eastman Jan 1972

Statistical Studies Of Various Time-To-Fail Distributions, James Addison Eastman

Doctoral Dissertations

"Three models are considered that have U-shaped hazard functions, and a fourth model is considered that has a linear hazard function. Several methods for estimating the parameters are given for each of these models. Also, various tests of hypotheses are considered in the case of the model with the linear hazard function. One of the models with a U-shaped hazard function has a location and a scale parameter, and it is proved in general that any other parameters in a distribution of this type are distributed independently of the location and scale parameters.

A new method used to estimate the …