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Author:

Zhang, Jianling (Zhang, Jianling.) | Zhang, Zhongzhan (Zhang, Zhongzhan.) (Scholars:张忠占)

Indexed by:

SSCI EI Scopus SCIE

Abstract:

Statistical inferences under simple stochastic ordering for two continuous populations has a long and rich history. But further study for multiple populations is still expected. In this article, we consider samples test for simple stochastic ordering against unrestricted alternative. A test statistic is constructed with the empirical distribution functions and the isotonic regression estimates of distribution functions, and the null asymptotic distribution of the proposed test statistic is given. A bootstrap procedure is suggested for the critical values, and some simulation results are presented to illustrate the proposed test method.

Keyword:

bootstrap critical values isotonic regression estimator Simple stochastic ordering multi-samples test

Author Community:

  • [ 1 ] [Zhang, Jianling]Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China
  • [ 2 ] [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

Reprint Author's Address:

  • [Zhang, Jianling]Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China

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Source :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

Year: 2020

Issue: 21

Volume: 50

Page: 5160-5169

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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