title: On distributions of record ranges in nonstandard situations
metadata.name: dc.contributor.author
metadata.value: Belkov, Igor V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-09-20T13:32:17Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-09-20T13:32:17Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Belkov I.V. On distributions of record ranges in nonstandard situations. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 3, pp. 387–393.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.303
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/7143
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The record theory is an important part of the probability theory and mathematical statistics and has
  many applications in various fields of knowledge. Most of the known methods deal with the standard
  model (when the initial random variables are independent and identically distributed). However, various
  nonstandard models also show some practical interest. In this article, a number of results for distributions
  and properties of record ranges and sample ranges are obtained for initial sequences of random variables
  in some nonstandard situations, namely when the variables of the initial sequence have the Laplace
  distribution or the mixture of two geometric distributions on the positive and negative semi-axes. The
  converse problem is also investigated, namely: the aforementioned distributions can be characterized by
  independency of W(1) and W(2) − W(1), where W(1),W(2), . . . are sample ranges in the sequences of
  initial random variables, if the constant X0 = 0 is added before the initial sequence. Refs 9.
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 4 (62); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: record values
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: sample ranges
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: record ranges
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exponential distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Laplace distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: geometric distribution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On distributions of record ranges in nonstandard situations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Belkov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/7143/1/03-Belkov.pdf
resources.format: Adobe PDF
resources.size: 238,16 kB