Tests for detecting more NBU-ness at a specific age

Jae Hak Lim; Dae Kyung Kim; Dong Ho Park

doi:10.1111/j.1467-842X.2005.00398.x

Tests for detecting more NBU-ness at a specific age

Jae Hak Lim
, Dae Kyung Kim
, Dong Ho Park^*

^*Corresponding author for this work

Department of Statistics

Hanbat National University
Hallym University

Research output: Contribution to journal › Journal article › peer-review

1 Scopus citations

Abstract

This paper proposes a class of non-parametric test procedures for testing the null hypothesis that two distributions, F and G, are equal versus the alternative hypothesis that F is 'more NBU (new better than used) at specified age to' than G. Using Hoeffding's two-sample U-statistic theorem, it establishes the asymptotic normality of the test statistics and produces a class of asymptotically distribution-free tests. Pitman asymptotic efficacies of the proposed tests are calculated with respect to the location and shape parameters. A numerical example is provided for illustrative purposes.

Original language	English
Pages (from-to)	329-337
Number of pages	9
Journal	Australian and New Zealand Journal of Statistics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1111/j.1467-842X.2005.00398.x
State	Published - 2005.09

Keywords

Consistency
NBU
NBU-t
Pitman asymptotic efficacy
U-statistic

Quacquarelli Symonds(QS) Subject Topics

Mathematics
Statistics & Operational Research
Data Science

Access to Document

10.1111/j.1467-842X.2005.00398.x

Cite this

@article{d8c065de9d0046c39b7fa0fcf2d70efb,

title = "Tests for detecting more NBU-ness at a specific age",

abstract = "This paper proposes a class of non-parametric test procedures for testing the null hypothesis that two distributions, F and G, are equal versus the alternative hypothesis that F is 'more NBU (new better than used) at specified age to' than G. Using Hoeffding's two-sample U-statistic theorem, it establishes the asymptotic normality of the test statistics and produces a class of asymptotically distribution-free tests. Pitman asymptotic efficacies of the proposed tests are calculated with respect to the location and shape parameters. A numerical example is provided for illustrative purposes.",

keywords = "Consistency, NBU, NBU-t, Pitman asymptotic efficacy, U-statistic",

author = "Lim, \{Jae Hak\} and Kim, \{Dae Kyung\} and Park, \{Dong Ho\}",

year = "2005",

month = sep,

doi = "10.1111/j.1467-842X.2005.00398.x",

language = "English",

volume = "47",

pages = "329--337",

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

issn = "1369-1473",

number = "3",

}

TY - JOUR

T1 - Tests for detecting more NBU-ness at a specific age

AU - Lim, Jae Hak

AU - Kim, Dae Kyung

AU - Park, Dong Ho

PY - 2005/9

Y1 - 2005/9

N2 - This paper proposes a class of non-parametric test procedures for testing the null hypothesis that two distributions, F and G, are equal versus the alternative hypothesis that F is 'more NBU (new better than used) at specified age to' than G. Using Hoeffding's two-sample U-statistic theorem, it establishes the asymptotic normality of the test statistics and produces a class of asymptotically distribution-free tests. Pitman asymptotic efficacies of the proposed tests are calculated with respect to the location and shape parameters. A numerical example is provided for illustrative purposes.

AB - This paper proposes a class of non-parametric test procedures for testing the null hypothesis that two distributions, F and G, are equal versus the alternative hypothesis that F is 'more NBU (new better than used) at specified age to' than G. Using Hoeffding's two-sample U-statistic theorem, it establishes the asymptotic normality of the test statistics and produces a class of asymptotically distribution-free tests. Pitman asymptotic efficacies of the proposed tests are calculated with respect to the location and shape parameters. A numerical example is provided for illustrative purposes.

KW - Consistency

KW - NBU

KW - NBU-t

KW - Pitman asymptotic efficacy

KW - U-statistic

UR - https://www.scopus.com/pages/publications/26244456800

U2 - 10.1111/j.1467-842X.2005.00398.x

DO - 10.1111/j.1467-842X.2005.00398.x

M3 - Journal article

AN - SCOPUS:26244456800

SN - 1369-1473

VL - 47

SP - 329

EP - 337

JO - Australian and New Zealand Journal of Statistics

JF - Australian and New Zealand Journal of Statistics

IS - 3

ER -

Tests for detecting more NBU-ness at a specific age

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

Other files and links

Fingerprint

Cite this