title: On families of distributions which are characterized by some properties of ordered random variables
metadata.name: dc.contributor.author
metadata.value: Ananjevskii, Sergey M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Nevzorov, Valery B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-28T15:26:22Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-28T15:26:22Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ananjevskii S.M., Nevzorov V.B. On families of distributions which are characterized by some properties of ordered random variables. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 3, pp. 345–354.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.301
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3903
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: New characterizations of some probability distributions by relations for different ordered random variables
  are obtained. Such variables include order statistics and sequential maxima. These relations also include
  upper record values as well as lower records. All ordered random objects are based on sequences
  of independent random variables having a common continuous distribution function. Equalities in
  distribution for sequential maxima exposed by different random shifts are investigated. These shifts (onesided
  or two-sided) have exponential distributions. Some theorems and consequences are suggested in which
  the corresponding characterizations of distributions by such kind of relations are presented. The simple
  properties of exponentially shifted order statistics, which characterize certain probability distributions,
  also are under consideration.
  All presented here results give a lot of characterizations of different distributions. As the partial
  cases of these results one can find relations, which characterize the families of the classical exponential
  and logistic distributions. Refs 7.
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. Series 1. Mathematics. Mechanics. Astronomy;Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: order statistics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: sequential maxima
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: record values
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: characterizations of probability distributions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exponential distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: logistic distribution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On families of distributions which are characterized by some properties of ordered random variables
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Ananevsky.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3903/1/Ananevsky.pdf
resources.format: Adobe PDF
resources.size: 205,31 kB