Name: Goodness-of-fit test for randomly censored data based on maximum correlation
Keywords: Maximum correlation, Matemáticas, Kaplan-Meier estimator, Goodness-of-fit, Kaplan-Meier estimator, maximum correlation, random censoring, Classificació AMS::62 Statistics::62N Survival analysis and censored data, Random censoring, 62N01, 62N03, 62G10, 62G20, Goodness-of-fit, Estadística, random censoring

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Research , Preprint 01 Jan 2014 English Publisher:Institut d'Estadística de CatalunyaJournal:Sort-statistics and Operations Research Transactions, volume 1, pages 119-138

Authors: Strzalkowska-Kominiak, Ewa; Grané, Aurea;

doi: 10.2436/20.8080.02.54

handle: 2117/112756 , 10016/45947 , 20.500.11797/RP2458 , 10016/19169

Goodness-of-fit test for randomly censored data based on maximum correlation

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Abstract

In this paper we study a goodness-of-fit test based on the maximum correlation coefficient, in the context of randomly censored data. We construct a new test statistic under general right- censoring and prove its asymptotic properties. Additionally, we study a special case, when the censoring mechanism follows the well-known Koziol-Green model. We present an extensive simulation study on the empirical power of these two versions of the test statistic, showing their ad- vantages over the widely used Pearson-type test. Finally, we apply our test to the head-and-neck cancer data.

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Related Organizations

Autonomous University of Barcelona
Spain
Carlos III University of Madrid
Spain
Universitat Polite`cnica de Catalunya
Spain
Universitat Politècnica de Catalunya
Spain
Carlos III University Madrid (UC3M)
Spain

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Keywords

Maximum correlation, Matemáticas, Kaplan-Meier estimator, Goodness-of-fit, Kaplan-Meier estimator, maximum correlation, random censoring, Classificació AMS::62 Statistics::62N Survival analysis and censored data, Random censoring, 62N01, 62N03, 62G10, 62G20, Goodness-of-fit, Estadística, random censoring, Economía, :62 Statistics::62G Nonparametric inference [Classificació AMS], Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica, :Matemàtiques i estadística::Estadística matemàtica [Àrees temàtiques de la UPC], Classificació AMS::62 Statistics::62G Nonparametric inference, :62 Statistics::62N Survival analysis and censored data [Classificació AMS], maximum correlation

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