The cycle length distribution of an ordinary renewal process is given by the distribution function \(F(t)=1-e^{-t^{2}}, t \geq 0\) (Rayleigh distribution).

(1) What is the statement of theorem 7.13 if \(g(x)=(x+1)^{-2}, x \geq 0\) ?

(2) What is the statement of theorem 7.15?

Data from Theorem 7.15

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If F(t) is nonarithmetic and = Var(Y)