# Multiple stopping odds problem in Bernoulli Trials with random number of observations

Mathematica Applicanda (2016)

- Volume: 44, Issue: 1
- ISSN: 1730-2668

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topAiko Kurushima, and Katsunori Ano. "Multiple stopping odds problem in Bernoulli Trials with random number of observations." Mathematica Applicanda 44.1 (2016): null. <http://eudml.org/doc/292651>.

@article{AikoKurushima2016,

abstract = {This paper studies an optimal multiple stopping problem, in which the objective is to maximize the probability of selecting the "last success" on Bernoulli trials with random number of observations under multiple selections. We propose the sufficient condition on the probability distribution of the number of observations for the optimal multiple stopping rule to be a threshold rule which is characterized by "odds". For example, uniform distribution satises the condition whenever the odd is not increasing in the number of trials.},

author = {Aiko Kurushima, Katsunori Ano},

journal = {Mathematica Applicanda},

keywords = {optimal stopping problem; selecting the last success; odds theorem; multiple stopping},

language = {eng},

number = {1},

pages = {null},

title = {Multiple stopping odds problem in Bernoulli Trials with random number of observations},

url = {http://eudml.org/doc/292651},

volume = {44},

year = {2016},

}

TY - JOUR

AU - Aiko Kurushima

AU - Katsunori Ano

TI - Multiple stopping odds problem in Bernoulli Trials with random number of observations

JO - Mathematica Applicanda

PY - 2016

VL - 44

IS - 1

SP - null

AB - This paper studies an optimal multiple stopping problem, in which the objective is to maximize the probability of selecting the "last success" on Bernoulli trials with random number of observations under multiple selections. We propose the sufficient condition on the probability distribution of the number of observations for the optimal multiple stopping rule to be a threshold rule which is characterized by "odds". For example, uniform distribution satises the condition whenever the odd is not increasing in the number of trials.

LA - eng

KW - optimal stopping problem; selecting the last success; odds theorem; multiple stopping

UR - http://eudml.org/doc/292651

ER -

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