DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chae, Kyung-Chul | ko |
dc.contributor.author | Lee, H.W. | ko |
dc.date.accessioned | 2013-02-27T11:47:16Z | - |
dc.date.available | 2013-02-27T11:47:16Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1997 | - |
dc.identifier.citation | INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, v.28, no.4, pp.561 - 567 | - |
dc.identifier.issn | 0020-739X | - |
dc.identifier.uri | http://hdl.handle.net/10203/68361 | - |
dc.description.abstract | We consider the random sum Sn >+ X>1 + X>2 + ...+ Xn >with a stopping rule N>= min{n> : Sn > t}>where T>is a predetermined threshold. We assume that X>1 ,X>2 ,...>are independent and identically distributed random variables having positive integer values. N>is also a positive integer‐valued random variable but dependent on the sequence X>1 , X>2 ,...>due to the stopping rule. Given T>and the probability distribution of X,>we first derive the probability distributions of N, Sn,>and of N>conditional on Sn.>Then we compute the first two moments of these three taking an instructive approach based on the absorbing Markov chain. | - |
dc.language | English | - |
dc.publisher | Taylor & Francis | - |
dc.title | On the random sum with a stopping rule SN > T> | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.citation.volume | 28 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 561 | - |
dc.citation.endingpage | 567 | - |
dc.citation.publicationname | INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | - |
dc.contributor.localauthor | Chae, Kyung-Chul | - |
dc.contributor.nonIdAuthor | Lee, H.W. | - |
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