الفهرس 
Basic Concepts and Literature ReviewOnly 14 pages are availabe for public view
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Abstract
The main objective of this thesis is the interval estimation of a stress-strength model with independent variables possessing distributions with either general exponential form or general inverse exponential form. Different interval estimators are obtained by different methods and under different assumptions. The interval estimators obtained are exact, generalized, approximate, bootstrap, and Bayesian. Various statistical distributions in the literature possess the underlying forms of distributions. So, the results obtained are consistent with many results in the literature, and may be applied to distributions possessing these forms not yet studied. As illustration of the results obtained, the Weibull and inverse Weibull distributions are applied as examples of the two general forms. Simulation studies are also carried out for comparison of the different interval estimators obtained. The comparison is based on average length, average coverage probability, and tail errors.
Keywords: General exponential form, General inverse exponential form, Stress-strength reliability, Interval estimation, Maximum likelihood estimation, Generalized pivotal quantity, Generalized variable, Markov chain Monte Carlo method, Approximate confidence interval, Generalized confidence interval, Bootstrap confidence interval, Bayesian credible interval.