The asymptotic behavior of linear placement statistics

Dongjae Kim; Sungchul Lee; Wensheng Wang

doi:10.1016/j.spl.2010.10.021

The asymptotic behavior of linear placement statistics

Dongjae Kim, Sungchul Lee, Wensheng Wang

Department of Mathematics

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

Orban and Wolfe (1982) and Kim (1999) provided the limiting distribution for linear placement statistics under null hypotheses only when one of the sample sizes goes to infinity. In this paper we prove the asymptotic normality and the weak convergence of the linear placement statistics of Orban and Wolfe (1982) and Kim (1999) when the sample sizes of each group go to infinity simultaneously.

Original language	English
Pages (from-to)	326-336
Number of pages	11
Journal	Statistics and Probability Letters
Volume	81
Issue number	2
DOIs	https://doi.org/10.1016/j.spl.2010.10.021
Publication status	Published - 2011 Feb 1

Fingerprint

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Cite this

Kim, D., Lee, S., & Wang, W. (2011). The asymptotic behavior of linear placement statistics. Statistics and Probability Letters, 81(2), 326-336. https://doi.org/10.1016/j.spl.2010.10.021

@article{efdbbe66e0c841ad815e07d2dc1b6d06,

title = "The asymptotic behavior of linear placement statistics",

abstract = "Orban and Wolfe (1982) and Kim (1999) provided the limiting distribution for linear placement statistics under null hypotheses only when one of the sample sizes goes to infinity. In this paper we prove the asymptotic normality and the weak convergence of the linear placement statistics of Orban and Wolfe (1982) and Kim (1999) when the sample sizes of each group go to infinity simultaneously.",

author = "Dongjae Kim and Sungchul Lee and Wensheng Wang",

year = "2011",

month = feb

day = "1",

doi = "10.1016/j.spl.2010.10.021",

language = "English",

volume = "81",

pages = "326--336",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - The asymptotic behavior of linear placement statistics

AU - Kim, Dongjae

AU - Lee, Sungchul

AU - Wang, Wensheng

PY - 2011/2/1

Y1 - 2011/2/1

N2 - Orban and Wolfe (1982) and Kim (1999) provided the limiting distribution for linear placement statistics under null hypotheses only when one of the sample sizes goes to infinity. In this paper we prove the asymptotic normality and the weak convergence of the linear placement statistics of Orban and Wolfe (1982) and Kim (1999) when the sample sizes of each group go to infinity simultaneously.

AB - Orban and Wolfe (1982) and Kim (1999) provided the limiting distribution for linear placement statistics under null hypotheses only when one of the sample sizes goes to infinity. In this paper we prove the asymptotic normality and the weak convergence of the linear placement statistics of Orban and Wolfe (1982) and Kim (1999) when the sample sizes of each group go to infinity simultaneously.

UR - http://www.scopus.com/inward/record.url?scp=78650706886&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650706886&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2010.10.021

DO - 10.1016/j.spl.2010.10.021

M3 - Article

AN - SCOPUS:78650706886

VL - 81

SP - 326

EP - 336

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

IS - 2

ER -

Access to Document

10.1016/j.spl.2010.10.021