Question: what does .. mean? why expert wrote ..? its the complete question. its the complete question. Suppose that we begin observing a renewal process at

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Suppose that we begin observing a renewal process at some point in time at which a failure did NOT occur. The distribution of the time to first failure is then different from the distribution of times between all other events. Find the CDF of the time to the first failure in terms of the CDF F(x) of the times between failures. (The renewal process like this is called a modified renewal process (see Cox & Miller (1965) and Cox and Lewis (1966).) Suppose that we begin observing a renewal process at some point in time at which a failure did NOT occur. The distribution of the time to first failure is then different from the distribution of times between all other events. Find the CDF of the time to the first failure in terms of the CDF F(x) of the times between failures. (The renewal process like this is called a modified renewal process (see Cox & Miller (1965) and Cox and Lewis (1966).)

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