A multiple optimal stopping rule for sums of independent random variables

M. L. Nikolaev, G. Yu Sofronov

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We consider multiple optimal stopping rules for a finite (with horizon N) sequence of independent random variables. We are interested in finding a stopping rule which maximises the expected sum of k, 1 < k < N, observations. The optimal stopping rule and the value of the game are obtained. This result can be applied in the house-selling problem and in behavioural ecology problems.

LanguageEnglish
Pages463-473
Number of pages11
JournalDiscrete Mathematics and Applications
Volume17
Issue number5
DOIs
Publication statusPublished - 11 Dec 2007

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Optimal Stopping Rule
Sums of Independent Random Variables
Ecology
Random variables
Sales
Stopping Rule
Independent Random Variables
Horizon
Maximise
Game
Observation

Cite this

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A multiple optimal stopping rule for sums of independent random variables. / Nikolaev, M. L.; Sofronov, G. Yu.

In: Discrete Mathematics and Applications, Vol. 17, No. 5, 11.12.2007, p. 463-473.

Research output: Contribution to journalArticleResearchpeer-review

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