A Study on Interval Estimation Problems in the Stress-Strength Model

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.