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Mean Ruin Time for Gambler's Ruin Problem

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2011Publisher:IEEEJournal:2011 International Conference on Business Computing and Global Informatization
Authors: Xu Meiping; Xu Yuanwei;

doi: 10.1109/bcgin.2011.178

Mean Ruin Time for Gambler's Ruin Problem

Abstract

In this note, we point out mean ruin time is a concept which is different from mean persisting gambled time and present theoretical and numerical solutions for mean ruin time of gambler's ruin problem. Then we employ Monte Carlo simulation to verify that mean ruin time of the gambler with less initial fortune is far less than mean persisting gambled time especially when his winning probability is close to his losing probability on each play of the game.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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