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Renewal theory with a trend
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
2011 (English)In: Statistics and Probability Letters, ISSN 0167-7152, Vol. 81, no 8, 1292-1299 p.Article in journal (Refereed) Published
Abstract [en]

We prove some analogs of results from renewal theory for random walks in the case when there is a drift, more precisely when the mean of the kth summand equals k(gamma) mu, k >= 1, for some it mu > 0 and 0 < gamma <= 1.

Place, publisher, year, edition, pages
2011. Vol. 81, no 8, 1292-1299 p.
Keyword [en]
Trend, Renewal theory, First passage time, Strong law, Central limit theorem, Stopping time
National Category
URN: urn:nbn:se:uu:diva-156218DOI: 10.1016/j.spl.2011.03.031ISI: 000292232700054OAI: oai:DiVA.org:uu-156218DiVA: diva2:431492
Available from: 2011-07-20 Created: 2011-07-18 Last updated: 2011-07-20Bibliographically approved

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