Template:Acb on reliability

Confidence Bounds on Reliability
The bounds on reliability for any given time, $$T$$, are estimated by:


 * $$\begin{align}

& {{R}_{U}}(T)= & {{e}^{-\tfrac{T}}} \\ & {{R}_{L}}(T)= & {{e}^{-\tfrac{T}}} \end{align}$$

where $${{m}_{U}}$$  and  $${{m}_{L}}$$  are estimated estimated by:


 * $$\begin{align}

& {{m}_{U}}= \widehat{m}\cdot {{e}^{\tfrac{{{K}_{\alpha }}\sqrt{Var(\widehat{m})}}{\widehat{m}}}} \\ & {{m}_{L}}= \widehat{m}\cdot {{e}^{-\tfrac{{{K}_{\alpha }}\sqrt{Var(\widehat{m})}}{\widehat{m}}}} \end{align}$$