Bayes' Model of the Best-Choice Problem with Disorder | Zendy

Vladimir Mazalov | Zendy; Evgeny Ivashko | Zendy

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Bayes' Model of the Best-Choice Problem with Disorder

Author(s) -

Vladimir Mazalov,

Evgeny Ivashko

Publication year - 2011

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.19

H-Index - 28

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2012/697458

Subject(s) - mathematics , bayes' theorem , imperfect , random variable , decision maker , class (philosophy) , distribution (mathematics) , mathematical economics , statistics , artificial intelligence , computer science , bayesian probability , operations research , mathematical analysis , philosophy , linguistics

We consider the best-choice problem with disorderand imperfect observation. The decision-maker observes sequentiallya known number of i.i.d random variables from a known distributionwith the object of choosing the largest. At the random time the distributionlaw of observations is changed. The random variables cannotbe perfectly observed. Each time a random variable is sampled thedecision-maker is informed only whether it is greater than or less thansome level specified by him. The decision-maker can choose at mostone of the observation. The optimal rule is derived in the class ofBayes' strategies

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