Continuation. In practice it might be of interest to determine the value of a in the previous problem in order to minimize some quantity of interest, such as cost. Let us, as an example, consider exponentially distributed lifetimes; Yk ∈ Exp(λ), k ≥ 1.
(a) Compute µw and µz for that case.
(b) Restate the conclusions.
(c) The limit results for V (t) then become
(d) The limits turn out to be independent of a. Interpret this fact.