Change points detection of a smooth estimate of a hazard function

HOROVÁ, Ivanka, Zdeněk POSPÍŠIL and Jiří ZELINKA. Change points detection of a smooth estimate of a hazard function. 2010.

Basic information

• Original name: Change points detection of a smooth estimate of a hazard function
• Name in Czech: Detekce bodů změny vyhlazené rizikové funkce
• Authors: HOROVÁ, Ivanka (203 Czech Republic, guarantor, belonging to the institution), Zdeněk POSPÍŠIL (203 Czech Republic, belonging to the institution) and Jiří ZELINKA (203 Czech Republic, belonging to the institution).
• Edition: 2010.

Other information

• Original language: English
• Type of outcome: Conference abstract
• Field of Study: 10103 Statistics and probability
• Country of publisher: France
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• RIV identification code: RIV/00216224:14310/10:00044683
• Organization unit: Faculty of Science
• Keywords (in Czech): riziková funkce; jádrové vzhlazení; nulové body derivací; deterministický model
• Keywords in English: hazard function; kernel smoothing; zero points of derivative; deterministic model
• Tags: differential equation, hazard function, kernel smoothing
• Tags: International impact, Reviewed

Abstract

This contribution extends the procedure introduced in J.Theor.Biol. 258(3) 437-443 (2009) combining parametric and non-parametric estimation of hazard function for cancer patients has been developed. The procedure utilizes kernel smoothing of hazard function to identify parameters of deterministic model. The poster presents methods for estimation of roots of the first and the second derivatives of hazard function and compares the estimates with the roots of the identified parametric form of the hazard function. The mentioned roots indicate time of maximal risk and that of the most rapid risk change. The procedure is applied to the breast cancer and to the leukemia data.

Links

• GAP201/10/1032, research and development project: Name: Diferenční rovnice a dynamické rovnice na ,,time scales'' III (Acronym: Difrov)

Investor: Czech Science Foundation

• LC06024, research and development project: Name: Centrum Jaroslava Hájka pro teoretickou a aplikovanou statistiku

Investor: Ministry of Education, Youth and Sports of the CR, Jaroslav Hájek Center for Theoretical and Applied Statistics