title: On generalizations of the optimal choice problem
metadata.name: dc.contributor.author
metadata.value: Belkov, Igor V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-05-04T18:52:20Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-05-04T18:52:20Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Belkov I.V. On generalizations of the optimal choice problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 1, pp. 29–36.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.103
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/28431
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article is dedicated to some generalizations of the classical optimal choice problem (the
  fastidious bride problem, the secretary problem). Let there be a sequence of n identically
  distributed random variables on the interval [0, 1]. Getting consistently observed values
  of these variables, we should stop at some moment on one of them, accepting it as the
  initial point for counting upper or lower record values. In the optimal choice problem and
  its generalizations, it is needed to make the correct choice of the initial point of counting
  records, in order to guess the place of the last record (the classical optimal choice problem)
  or to maximize the expected sum of upper and/or lower record values or the expected total
  number of upper and/or lower records, obtained by this procedure. A review of results
  on the uniform distribution of the random variables and some new results concerning the
  exponential distribution are presented.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Foundation for Basic Research (grant no. 18-01-00393).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 8 (66); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: record moments
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: record values
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: sums of record values
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mean number of records
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: uniform distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exponential distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimal choice problem
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On generalizations of the optimal choice problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 29-36.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/28431/1/29-36.pdf
resources.format: Adobe PDF
resources.size: 261,65 kB