Abstract
This paper deals with interval estimation of the stress-strength reliability, when the stress and strength variables follow a general exponential form distribution. The distribution parameters of both the stress and the strength are assumed to be unknown. Interval estimation for reliability is discussed, using different approaches. The results obtained are applicable to many well known distributions. For illustration of the general results obtained a simulation study is performed with application on Weibull distribution. Numerical comparison of the interval estimators is carried out based on average length, probability coverage, and tail errors.
Highlights
The stress-strength reliability can be expressed as R = P (X1
This paper deals with interval estimation of the stress-strength reliability, when the stress and strength variables follow a general exponential form distribution
Because of the importance of what we talk about there are a lot of research, which took this topic in different ways and different distributions
Summary
(Mokhlis et al, 2017) introduced point and interval estimation of R = P (X1
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