Numbers of observations near order statistics

Anthony Pakes

doi:10.1111/j.1467-842X.2009.00551.x

Numbers of observations near order statistics

Anthony Pakes

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

Limit theorems are obtained for the numbers of observations in a random sample that fall within a left-hand or right-hand neighbourhood of the kth order statistic. The index k can be fixed, or tend to infinity as the sample size increases unboundedly. In essence, the proofs are applications of the classical Poisson and De Moivre–Laplace theorems.

Original language	English
Pages (from-to)	375-395
Journal	Australian and New Zealand Journal of Statistics
Volume	51
Issue number	4
DOIs	https://doi.org/10.1111/j.1467-842X.2009.00551.x
Publication status	Published - 2009

Access to Document

10.1111/j.1467-842X.2009.00551.x

Cite this

@article{bb042f672621464bb9ea24d8b24f6bc5,

title = "Numbers of observations near order statistics",

abstract = "Limit theorems are obtained for the numbers of observations in a random sample that fall within a left-hand or right-hand neighbourhood of the kth order statistic. The index k can be fixed, or tend to infinity as the sample size increases unboundedly. In essence, the proofs are applications of the classical Poisson and De Moivre–Laplace theorems.",

author = "Anthony Pakes",

year = "2009",

doi = "10.1111/j.1467-842X.2009.00551.x",

language = "English",

volume = "51",

pages = "375--395",

journal = "Australian and New Zealand Journal of Statistics",

issn = "1369-1473",

publisher = "Wiley-Blackwell",

number = "4",

}

TY - JOUR

T1 - Numbers of observations near order statistics

AU - Pakes, Anthony

PY - 2009

Y1 - 2009

N2 - Limit theorems are obtained for the numbers of observations in a random sample that fall within a left-hand or right-hand neighbourhood of the kth order statistic. The index k can be fixed, or tend to infinity as the sample size increases unboundedly. In essence, the proofs are applications of the classical Poisson and De Moivre–Laplace theorems.

AB - Limit theorems are obtained for the numbers of observations in a random sample that fall within a left-hand or right-hand neighbourhood of the kth order statistic. The index k can be fixed, or tend to infinity as the sample size increases unboundedly. In essence, the proofs are applications of the classical Poisson and De Moivre–Laplace theorems.

U2 - 10.1111/j.1467-842X.2009.00551.x

DO - 10.1111/j.1467-842X.2009.00551.x

M3 - Article

SN - 1369-1473

VL - 51

SP - 375

EP - 395

JO - Australian and New Zealand Journal of Statistics

JF - Australian and New Zealand Journal of Statistics

IS - 4

ER -

Numbers of observations near order statistics

Abstract

Access to Document

Fingerprint

Cite this