1.3. A fundamental identity involving the renewal function, valid for all renewal processes, is E[Wv(,,+i] = E[X1](M(t)...

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1.3. A fundamental identity involving the renewal function, valid for all renewal processes, is E[Wv(,,+i] = E[X1](M(t) + 1).

See equation (1.7). Using this identity, show that the mean excess life can be evaluated in terms of the renewal function via the relation E[y] = E[X,](1 + M(t)) - t.

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