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January, 1981 The Cox Regression Model, Invariance Principles for Some Induced Quantile Processes and Some Repeated Significance Tests
Pranab Kumar Sen
Ann. Statist. 9(1): 109-121 (January, 1981). DOI: 10.1214/aos/1176345336

Abstract

For the Cox regression model, the partial likelihood functions involve linear combinations of induced order statistics. Some invariance principles pertaining to such linear combinations of induced order statistics are studied and the theory is incorporated in the formulation of some repeated significance tests (for the hypothesis of no regression) based on these partial likelihoods.

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Pranab Kumar Sen. "The Cox Regression Model, Invariance Principles for Some Induced Quantile Processes and Some Repeated Significance Tests." Ann. Statist. 9 (1) 109 - 121, January, 1981. https://doi.org/10.1214/aos/1176345336

Information

Published: January, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0455.60006
MathSciNet: MR600536
Digital Object Identifier: 10.1214/aos/1176345336

Subjects:
Primary: 60B10
Secondary: 60F05 , 62G99

Keywords: Analysis of covariance , contiguity of probability measures , Cox regression model , hazard rate , induced order statistics , Invariance principles , Quantile processes , Repeated significance tests , surivival functions , Wiener processes , withdrawals

Rights: Copyright © 1981 Institute of Mathematical Statistics

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Vol.9 • No. 1 • January, 1981
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