The moments of forward recurrence time |
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Authors: | Rodney Coleman |
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Institution: | Department of Mathematics, Imperial College, London SW7 2BZ, United Kingdom |
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Abstract: | The moments of the forward recurrence time of an ordinary renewal process are derived in terms of the renewal function and the moments of the common lifetime distribution. The covariance between the forward recurrence time and the number of renewals is also obtained. Asymptotic formulae as the process is allowed to run on for a fixed long time are given. |
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