### 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.

Language | English |
---|---|

Pages | 463-473 |

Number of pages | 11 |

Journal | Discrete Mathematics and Applications |

Volume | 17 |

Issue number | 5 |

DOIs | |

Publication status | Published - 11 Dec 2007 |

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### Cite this

*Discrete Mathematics and Applications*,

*17*(5), 463-473. https://doi.org/10.1515/dma.2007.037

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*Discrete Mathematics and Applications*, vol. 17, no. 5, pp. 463-473. https://doi.org/10.1515/dma.2007.037

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

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - A multiple optimal stopping rule for sums of independent random variables

AU - Nikolaev, M. L.

AU - Sofronov, G. Yu

PY - 2007/12/11

Y1 - 2007/12/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=37049018276&partnerID=8YFLogxK

U2 - 10.1515/dma.2007.037

DO - 10.1515/dma.2007.037

M3 - Article

VL - 17

SP - 463

EP - 473

JO - Discrete Mathematics and Applications

T2 - Discrete Mathematics and Applications

JF - Discrete Mathematics and Applications

SN - 0924-9265

IS - 5

ER -