Generalizations of a result of Christensen on renewal sequences and linear recurrences
Kenneth S. Berenhaut,
Courtney R. Bzdelik and
Jean J. Merlet
Statistics & Probability Letters, 2013, vol. 83, issue 11, 2544-2548
Abstract:
This note extends some recent work of Christensen on simple closed form solutions for linear recurrences, employing connections with renewal sequences. We obtain results for linear recursive sequences defined via monotone coefficients, and provide a broader result in the third-order case. A related open question is posed.
Keywords: Renewal sequences; Linear recurrences; Closed form solutions (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:83:y:2013:i:11:p:2544-2548
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DOI: 10.1016/j.spl.2013.07.017
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