title: On some relationships between records in the transition from continuous to discrete distributions
metadata.name: dc.contributor.author
metadata.value: Ahsanullah, Mohammad
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Nevzorov, Valery B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Stepanov, Alexei V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-07-07T21:05:42Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-07-07T21:05:42Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ahsanullah M., Nevzorov V.B., Stepanov A.V. On some relationships between records in the transition from continuous to discrete distributions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 2, pp. 209–218.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.203
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37101
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the present work, we consider discretization of continuous distributions and study relations
  between continuous record values, weak record values and discrete record values
  obtained from continuous record values by discretization. We first compare the numbers
  of continuous record values registered in real intervals and the numbers of discrete record
  values and weak record values located on the sets of non-negative integers. Further in the
  paper, we introduce the so-called strong continuous record values that hold out after discretization
  and we discuss their distributional properties. We also analyze what happens with record values after discretization of the standard exponential distribution. Finally, we
  present a simulation experiment, which supports the theoretical results of the paper.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The V. B. Nevzorov’s work was partially supported by Russian Foundation for Basic Research
  (grant no. 18-01-00393). The work of A. V. Stepanov was supported by the Ministry of Science and
  Higher Education of the Russian Federation (agreement no. 075-02-2021-1748).
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 9 (67); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: records
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: strong records
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: weak records
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: discretization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exponential distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: geometric distribution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On some relationships between records in the transition from continuous to discrete distributions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 209-218.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37101/1/209-218.pdf
resources.format: Adobe PDF
resources.size: 283,47 kB