A new test for unimodality

A distribution function (d.f.) of a random variable is unimodal if there exists a number such that d.f. is convex left from this number and is concave right from this number. This number is called a mode of d.f. Since one may have more than one mode, a mode is not necessarily unique. The purpose of...

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Дата:2008
Автори: Andrushkiw, R.I., Klyushin, D.D., Petunin, Y.I.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2008
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/4530
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:A new test for unimodality / R.I. Andrushkiw, D.D. Klyushin, Y.I. Petunin // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 1–6. — Бібліогр.: 12 назв.— англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-4530
record_format dspace
spelling Andrushkiw, R.I.
Klyushin, D.D.
Petunin, Y.I.
2009-11-25T10:59:23Z
2009-11-25T10:59:23Z
2008
A new test for unimodality / R.I. Andrushkiw, D.D. Klyushin, Y.I. Petunin // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 1–6. — Бібліогр.: 12 назв.— англ.
0321-3900
https://nasplib.isofts.kiev.ua/handle/123456789/4530
519.21
A distribution function (d.f.) of a random variable is unimodal if there exists a number such that d.f. is convex left from this number and is concave right from this number. This number is called a mode of d.f. Since one may have more than one mode, a mode is not necessarily unique. The purpose of this paper is to construct nonparametric tests for the unimodality of d.f. based on a sample obtained from the general population of values of the random variable by simple sampling. The tests proposed are significance tests such that the unimodality of d.f. can be guaranteed with some probability (confidence level).
en
Інститут математики НАН України
A new test for unimodality
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title A new test for unimodality
spellingShingle A new test for unimodality
Andrushkiw, R.I.
Klyushin, D.D.
Petunin, Y.I.
title_short A new test for unimodality
title_full A new test for unimodality
title_fullStr A new test for unimodality
title_full_unstemmed A new test for unimodality
title_sort new test for unimodality
author Andrushkiw, R.I.
Klyushin, D.D.
Petunin, Y.I.
author_facet Andrushkiw, R.I.
Klyushin, D.D.
Petunin, Y.I.
publishDate 2008
language English
publisher Інститут математики НАН України
format Article
description A distribution function (d.f.) of a random variable is unimodal if there exists a number such that d.f. is convex left from this number and is concave right from this number. This number is called a mode of d.f. Since one may have more than one mode, a mode is not necessarily unique. The purpose of this paper is to construct nonparametric tests for the unimodality of d.f. based on a sample obtained from the general population of values of the random variable by simple sampling. The tests proposed are significance tests such that the unimodality of d.f. can be guaranteed with some probability (confidence level).
issn 0321-3900
url https://nasplib.isofts.kiev.ua/handle/123456789/4530
citation_txt A new test for unimodality / R.I. Andrushkiw, D.D. Klyushin, Y.I. Petunin // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 1–6. — Бібліогр.: 12 назв.— англ.
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first_indexed 2025-12-07T16:50:16Z
last_indexed 2025-12-07T16:50:16Z
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