Kernel estimates of hazard funcions for carcinoma data sets

HOROVÁ, Ivanka, Jiří ZELINKA and Marie BUDÍKOVÁ. Kernel estimates of hazard funcions for carcinoma data sets. Environmetrics. Chichester: John Wiley & Sons, vol. 2006, No 17, p. 239-255. ISSN 1180-4009. 2006.

Basic information

• Original name: Kernel estimates of hazard funcions for carcinoma data sets
• Name in Czech: Jádrové odhady rizikové funkce pro onkologická data
• Name (in English): Kernel estimates of hazard funcions for carcinoma data sets
• Authors: HOROVÁ, Ivanka (203 Czech Republic, guarantor), Jiří ZELINKA (203 Czech Republic) and Marie BUDÍKOVÁ (203 Czech Republic).
• Edition: Environmetrics, Chichester, John Wiley & Sons, 2006, 1180-4009.

Other information

• Original language: Czech
• Type of outcome: Article in a journal
• Field of Study: 10103 Statistics and probability
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 0.632
• RIV identification code: RIV/00216224:14310/06:00016858
• Organization unit: Faculty of Science
• UT WoS: 000236772800004
• Keywords in English: hazard function; kernel estimate; asymptotic optimal estimate; carcinoma data set
• Tags: asymptotic optimal estimate, carcinoma data set, hazard function, kernel estimate

Abstract

The present article focuses on kernel estimates of hazard functions and their derivatives. Our approach is based on the model introduced by Műller and Wang (1990). In order to estimate the hazard function in an effective manner and automatic procedure in a paper by Horová et. al. (2002) is applied. The procedure chooses a bandwidth, a kernel and an order of kernel. As a by-product we propose a special procedure for this estimation of the optimal bandwidth. This is applied to the carcinoma data sets kindly provided by the Masaryk Memorial Cancer Institute in Brno. Attention is also paid to the point of the most rapid change of the hazard function.

Abstract (in English)

The present article focuses on kernel estimates of hazard functions and their derivatives. Our approach is based on the model introduced by Műller and Wang (1990). In order to estimate the hazard function in an effective manner and automatic procedure in a paper by Horová et. al. (2002) is applied. The procedure chooses a bandwidth, a kernel and an order of kernel. As a by-product we propose a special procedure for this estimation of the optimal bandwidth. This is applied to the carcinoma data sets kindly provided by the Masaryk Memorial Cancer Institute in Brno. Attention is also paid to the point of the most rapid change of the hazard function

Links

• MSM 143100001, plan (intention): Name: Funkcionální diferenciální rovnice a matematicko-statistické modely

Investor: Ministry of Education, Youth and Sports of the CR, Functional-differential equations and mathematical-statistical models