Empirical likelihood based tests for stochastic ordering under right censorship

Hsin-Wen Chang; Ian W. McKeague

doi:10.1214/16-EJS1180

Empirical likelihood based tests for stochastic ordering under right censorship

Hsin-Wen Chang
, Ian W. McKeague

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

9 Citations (Scopus)

Abstract

This paper develops an empirical likelihood (EL) approach to testing for stochastic ordering between two univariate distributions under right censorship. The proposed test is based on a maximally selected local EL statistic. The asymptotic null distribution is expressed in terms of a Brownian bridge. The new procedure is shown via a simulation study to have superior power to the log-rank and weighted Kaplan–Meier tests under crossing hazard alternatives. The approach is illustrated using data from a randomized clinical trial involving the treatment of severe alcoholic hepatitis.

Original language	English
Pages (from-to)	2511-2536
Journal	Electronic Journal of Statistics
Volume	10
Issue number	2
DOIs	https://doi.org/10.1214/16-EJS1180
Publication status	Published - 2016
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Research Keywords

Crossing survival/hazard functions
Order restricted inference
Survival analysis
Two-sample problem

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title = "Empirical likelihood based tests for stochastic ordering under right censorship",

abstract = "This paper develops an empirical likelihood (EL) approach to testing for stochastic ordering between two univariate distributions under right censorship. The proposed test is based on a maximally selected local EL statistic. The asymptotic null distribution is expressed in terms of a Brownian bridge. The new procedure is shown via a simulation study to have superior power to the log-rank and weighted Kaplan–Meier tests under crossing hazard alternatives. The approach is illustrated using data from a randomized clinical trial involving the treatment of severe alcoholic hepatitis.",

keywords = "Crossing survival/hazard functions, Order restricted inference, Survival analysis, Two-sample problem",

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AU - McKeague, Ian W.

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N2 - This paper develops an empirical likelihood (EL) approach to testing for stochastic ordering between two univariate distributions under right censorship. The proposed test is based on a maximally selected local EL statistic. The asymptotic null distribution is expressed in terms of a Brownian bridge. The new procedure is shown via a simulation study to have superior power to the log-rank and weighted Kaplan–Meier tests under crossing hazard alternatives. The approach is illustrated using data from a randomized clinical trial involving the treatment of severe alcoholic hepatitis.

AB - This paper develops an empirical likelihood (EL) approach to testing for stochastic ordering between two univariate distributions under right censorship. The proposed test is based on a maximally selected local EL statistic. The asymptotic null distribution is expressed in terms of a Brownian bridge. The new procedure is shown via a simulation study to have superior power to the log-rank and weighted Kaplan–Meier tests under crossing hazard alternatives. The approach is illustrated using data from a randomized clinical trial involving the treatment of severe alcoholic hepatitis.

KW - Crossing survival/hazard functions

KW - Order restricted inference

KW - Survival analysis

KW - Two-sample problem

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DO - 10.1214/16-EJS1180

M3 - RGC 21 - Publication in refereed journal

C2 - 31178947

SN - 1935-7524

VL - 10

SP - 2511

EP - 2536

JO - Electronic Journal of Statistics

JF - Electronic Journal of Statistics

IS - 2

ER -

Empirical likelihood based tests for stochastic ordering under right censorship

Abstract

Bibliographical note

UN SDGs

Research Keywords

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