Tests for the total time on test transform order

Félix Belzunce; Xiaohu Li; José Francisco Pinar; José María Ruiz

doi:10.1016/j.jspi.2004.03.008

Tests for the total time on test transform order

Félix Belzunce
, Xiaohu Li
, José Francisco Pinar
, José María Ruiz

Department of Mathematical Sciences

University of Murcia

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

4 Scopus citations

Abstract

In this paper we consider two test statistics for testing the strict TTT transform order between two life distributions of interest. We give their asymptotic distributions and compare our tests with some other related tests in terms of Pitman's asymptotic efficiency. Also we present some results to show the performance and the asymptotic normality of our tests.

Original language	English
Pages (from-to)	111-121
Number of pages	11
Journal	Journal of Statistical Planning and Inference
Volume	133
Issue number	1
DOIs	https://doi.org/10.1016/j.jspi.2004.03.008
State	Published - 1 Jul 2005

Keywords

Asymptotic normality
Order statistics
Pitman's asymptotic efficiency
Total time on test transform order

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10.1016/j.jspi.2004.03.008

Cite this

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title = "Tests for the total time on test transform order",

abstract = "In this paper we consider two test statistics for testing the strict TTT transform order between two life distributions of interest. We give their asymptotic distributions and compare our tests with some other related tests in terms of Pitman's asymptotic efficiency. Also we present some results to show the performance and the asymptotic normality of our tests.",

keywords = "Asymptotic normality, Order statistics, Pitman's asymptotic efficiency, Total time on test transform order",

author = "F{\'e}lix Belzunce and Xiaohu Li and Pinar, \{Jos{\'e} Francisco\} and Ruiz, \{Jos{\'e} Mar{\'i}a\}",

year = "2005",

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doi = "10.1016/j.jspi.2004.03.008",

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T1 - Tests for the total time on test transform order

AU - Belzunce, Félix

AU - Li, Xiaohu

AU - Pinar, José Francisco

AU - Ruiz, José María

PY - 2005/7/1

Y1 - 2005/7/1

N2 - In this paper we consider two test statistics for testing the strict TTT transform order between two life distributions of interest. We give their asymptotic distributions and compare our tests with some other related tests in terms of Pitman's asymptotic efficiency. Also we present some results to show the performance and the asymptotic normality of our tests.

AB - In this paper we consider two test statistics for testing the strict TTT transform order between two life distributions of interest. We give their asymptotic distributions and compare our tests with some other related tests in terms of Pitman's asymptotic efficiency. Also we present some results to show the performance and the asymptotic normality of our tests.

KW - Asymptotic normality

KW - Order statistics

KW - Pitman's asymptotic efficiency

KW - Total time on test transform order

UR - https://www.scopus.com/pages/publications/17844407169

UR - https://www.scopus.com/pages/publications/17844407169#tab=citedBy

U2 - 10.1016/j.jspi.2004.03.008

DO - 10.1016/j.jspi.2004.03.008

M3 - Article

AN - SCOPUS:17844407169

SN - 0378-3758

VL - 133

SP - 111

EP - 121

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 1

ER -

Tests for the total time on test transform order

Abstract

Keywords

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