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June, 1994 Approximation of the Basic Martingale
Alex J. Koning
Ann. Statist. 22(2): 565-579 (June, 1994). DOI: 10.1214/aos/1176325485

Abstract

Probability inequalities governing the approximation of the basic martingale, the rescaled difference between a counting process and its compensator, are derived. Applications to the random censoring model and to the field of goodness-of-fit tests are given. The inequalities are compared to inequalities derived earlier for the random censoring model using an empirical process approach.

Citation

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Alex J. Koning. "Approximation of the Basic Martingale." Ann. Statist. 22 (2) 565 - 579, June, 1994. https://doi.org/10.1214/aos/1176325485

Information

Published: June, 1994
First available in Project Euclid: 11 April 2007

zbMATH: 0814.60043
MathSciNet: MR1292530
Digital Object Identifier: 10.1214/aos/1176325485

Subjects:
Primary: 60G55
Secondary: 60F15 , 62G10

Keywords: approximation , counting process , Goodness-of-fit , random censoring , Random time change

Rights: Copyright © 1994 Institute of Mathematical Statistics

Vol.22 • No. 2 • June, 1994
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