Abstract
The Weibull Process (a nonhomogeneous Poisson process with intensity r(t) = lambda beta t (beta-1)) is considered as a stochastic model for the Duane reliability growth postulate. Under this model the mean time between failure for the system at time t is given by M(t) = 1/(r(t)). Small sample and asymptotic confidence intervals on M(t) are determined for failure and time truncated testing. Tabled values to compute the confidence intervals and numerical examples illustrating these procedures are also presented.

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