title: On the asymptotic power of a method for testing hypothesis about equality of distributions
metadata.name: dc.contributor.author
metadata.value: Melas, Vyacheslav B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-18T21:52:41Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-18T21:52:41Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-05
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Melas V.B. On the asymptotic power of a method for testing hypothesis about equality of distributions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 249–258. https://doi.org/10.21638/spbu01.2023.206 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.206
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41482
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper is devoted to studying the asymptotic power of a method for testing hypothesis
  on equality of two distributions that can be considered as a generalization of Mann—
  Whitney—Wilcoxon test. We consider a class of distributions such that the expectation of
  the square of an auxiliary function is finite. For the case when alternative distribution differ
  from the initial one only by a shift the asymptotic distribution and asymptotic power of
  the test are found explicitly. Up to now the power of the test was studied only by stochastic
  simulation.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00096-a).
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 10; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: testing hypothesis on equality of two distributions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic power of statististical tests
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Normal distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Cashy distribution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the asymptotic power of a method for testing hypothesis about equality of distributions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 249-258.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41482/1/249-258.pdf
resources.format: Adobe PDF
resources.size: 309,42 kB