Statistical studies of various time-to-fail distributions
"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 parameters in the preceding distributions is also employed to estimate the parameters in the Logistic distribution, and comparisons based on Monte Carlo methods are made between these estimators and the maximum likelihood estimators for n = 10, 20, 40, 80 and for complete samples and censoring from the right for r/n = .1, .3, .5 and .7….The means and variances of the estimators of reliability are given"--Abstract, page ii.
Missouri University of Science and Technology
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