Animals, Trees and Renewal Sequences: Corrigendum |
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Authors: | RANDS B M I; WELSH D J A |
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Institution: |
1California Institute of Technology U.S.A.
2Oxford University
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Abstract: | IN SECTION 3 of the above we omitted to mention aperiodicity.The period p of the pseudo renewal sequence {an: n > 0} isgiven by p = g.c.d. {n > 1: an > 0}. We are only concernedwith aperiodic renewal sequences (i.e. where p = 1). As it standsTheorem 3.1 is incorrect and should be restated as: THEOREM 3.1 If a = (an: n = 0,1,...) is an aperiodic pseudo-renewalsequence its limit a satisfies gnan > 1 where a1 is to be interpreted as; if a = 0. |
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