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Goodness-of-fit inference for the Cox-Aalen additive-multiplicative regression model

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KRAUS David

Rok publikování 2004
Druh Článek v odborném periodiku
Časopis / Zdroj Statistics & Probability Letters
Citace
Doi http://dx.doi.org/10.1016/j.spl.2004.10.014
Klíčová slova counting process; Cox-Aalen model; goodness-of-fit; hazard regression; martingale; residual; survival analysis
Popis The Cox-Aalen additive-multiplicative intensity model of Scheike and Zhang (Scand. J. Statist. 29, 2002) is considered. We study goodness-of-fit tests based on the stratified martingale residual process. Asymptotic distribution of the process is derived and the Kolmogorov-Smirnov type test is constructed. Several ways of overcoming the problem of complexity of the limiting distribution are discussed. The results are accompanied by a small Monte Carlo study. (C) 2004 Elsevier B.V. All rights reserved.

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