The joint distribution of the sample minimum and maximum from a smooth distribution on w1,w2

Christopher S. Withers; Saralees Nadarajah

doi:10.1016/j.jkss.2018.02.003

The joint distribution of the sample minimum and maximum from a smooth distribution on w1,w2

Christopher S. Withers, Saralees Nadarajah^*

^*Corresponding author for this work

Industrial Research Limited of New Zealand

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

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Abstract

We give expansions in inverse powers of the sample size n for the joint distribution function of the sample extremes when sampling from any smooth distribution on a finite interval when its density function is positive at its end points.

Original language	English
Journal	Journal of the Korean Statistical Society
Early online date	15 Mar 2018
DOIs	https://doi.org/10.1016/j.jkss.2018.02.003
Publication status	Published - 2018

Keywords

Density function
Maximum
Moments
Primary

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10.1016/j.jkss.2018.02.003

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title = "The joint distribution of the sample minimum and maximum from a smooth distribution on w1,w2",

abstract = "We give expansions in inverse powers of the sample size n for the joint distribution function of the sample extremes when sampling from any smooth distribution on a finite interval when its density function is positive at its end points.",

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author = "Withers, {Christopher S.} and Saralees Nadarajah",

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language = "English",

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AU - Withers, Christopher S.

AU - Nadarajah, Saralees

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KW - Density function

KW - Maximum

KW - Moments

KW - Primary

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U2 - 10.1016/j.jkss.2018.02.003

DO - 10.1016/j.jkss.2018.02.003

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SN - 1226-3192

JO - Journal of the Korean Statistical Society

JF - Journal of the Korean Statistical Society

ER -

The joint distribution of the sample minimum and maximum from a smooth distribution on w1,w2

Abstract

Keywords

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