In defining a renewal process we suppose that F(8), the probability that an interarrival time is…

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In defining a renewal process we suppose that F(∞), the probability that an interarrival time is finite, equals 1 If F(∞) < 1,="" then="" after="" each="" renewal="" there="" is="" a="" positive="" probability="" 1="" —="" f(∞)="" that="" there="" will="" be="" no="" further="" renewals.="" argue="" that="" when="" f(∞)="">< 1="" the="" total="" number="" of="" renewals,="" call="" it="" n(∞),="" is="" such="" that="" 1="" +="" n(∞)="" has="" a="" geometric="" distribution="" with="" mean="" 1/(1="" —="" f(∞)="">

 

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