Excess wealth order and sample spacings

Subhash Kochar; Xiaohu Li; Maochao Xu

doi:10.1016/j.stamet.2006.11.002

Excess wealth order and sample spacings

Subhash Kochar
, Xiaohu Li
, Maochao Xu

Department of Mathematical Sciences

Portland State University

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

13 Scopus citations

Abstract

In this note, we further study the properties of excess wealth (or right spread) order and the location independent riskier order. It is proved that if X is less variable than Y according to excess wealth order, then X_{n : n} - X_{k : n} ≤_icx Y_{n : n} - Y_{k : n} for k = 0, 1, ..., n - 1, where X_{0 : n} = Y_{0 : n} ≡ 0. Similar results are obtained for location independent riskier order. An application in k-price business auction models is presented as well.

Original language	English
Pages (from-to)	385-392
Number of pages	8
Journal	Statistical Methodology
Volume	4
Issue number	4
DOIs	https://doi.org/10.1016/j.stamet.2006.11.002
State	Published - Oct 2007

Keywords

Auction
Increasing convex order
Location independent riskier order
Rent of winner
Right spread order
Sample range

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10.1016/j.stamet.2006.11.002

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title = "Excess wealth order and sample spacings",

abstract = "In this note, we further study the properties of excess wealth (or right spread) order and the location independent riskier order. It is proved that if X is less variable than Y according to excess wealth order, then Xn : n - Xk : n ≤icx Yn : n - Yk : n for k = 0, 1, ..., n - 1, where X0 : n = Y0 : n ≡ 0. Similar results are obtained for location independent riskier order. An application in k-price business auction models is presented as well.",

keywords = "Auction, Increasing convex order, Location independent riskier order, Rent of winner, Right spread order, Sample range",

author = "Subhash Kochar and Xiaohu Li and Maochao Xu",

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language = "English",

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TY - JOUR

T1 - Excess wealth order and sample spacings

AU - Kochar, Subhash

AU - Li, Xiaohu

AU - Xu, Maochao

PY - 2007/10

Y1 - 2007/10

N2 - In this note, we further study the properties of excess wealth (or right spread) order and the location independent riskier order. It is proved that if X is less variable than Y according to excess wealth order, then Xn : n - Xk : n ≤icx Yn : n - Yk : n for k = 0, 1, ..., n - 1, where X0 : n = Y0 : n ≡ 0. Similar results are obtained for location independent riskier order. An application in k-price business auction models is presented as well.

AB - In this note, we further study the properties of excess wealth (or right spread) order and the location independent riskier order. It is proved that if X is less variable than Y according to excess wealth order, then Xn : n - Xk : n ≤icx Yn : n - Yk : n for k = 0, 1, ..., n - 1, where X0 : n = Y0 : n ≡ 0. Similar results are obtained for location independent riskier order. An application in k-price business auction models is presented as well.

KW - Auction

KW - Increasing convex order

KW - Location independent riskier order

KW - Rent of winner

KW - Right spread order

KW - Sample range

UR - https://www.scopus.com/pages/publications/34548497164

UR - https://www.scopus.com/pages/publications/34548497164#tab=citedBy

U2 - 10.1016/j.stamet.2006.11.002

DO - 10.1016/j.stamet.2006.11.002

M3 - Article

AN - SCOPUS:34548497164

SN - 1572-3127

VL - 4

SP - 385

EP - 392

JO - Statistical Methodology

JF - Statistical Methodology

IS - 4

ER -

Excess wealth order and sample spacings

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Keywords

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