Let's say I have all parameters of my Weibull(or normal) distribution. How can I calculate the reliability for a given point within a certain confidence interval? For example, what is the reliability of a device with 99% confidence if we have its Weibull distribution? I assume reliability is the same as probability. Correct me if I am wrong. Thank you
by definition reliability R(t) = 1 - F(t).
F(t) = 1 - exp(-(t/tau)^beta) for the Weibull model
the confidence intervals come from not knowing tau and beta exactly, but with estimates which themselves have confidence intervals.
Do you know the confidence intervals on your modeled tau and beta estimates?