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

13 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

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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.",

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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.

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

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JO - Australian & New Zealand Journal of Statistics

JF - Australian & New Zealand Journal of Statistics

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