Kernel Estimates of Hazard Functions for Biomedical Data Sets

Horová, Ivanka; Zelinka, Jiří

doi:10.1007/978-3-540-32691-5_4

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…These estimates have been dealt with many authors, (see e.g Horová and Zelinka (2007) and references therein). Our approach is based on the model introduced by Tanner and Wong (1984), Müller and Wang (1990) and Jiang and Marron (2003).…”

Section: Kernel Estimates Of the Hazard Functionmentioning

confidence: 99%

“…Uzunogullari and Wang (1992)) or modified likelihood methods (Tanner and Wong, 1984) could be applied. In our paper we use a special iterative method based on a suitable approximation of MISE (see Horová and Zelinka (2007), Horová et al (2006)). …”

Section: Kernel Estimates Of the Hazard Functionmentioning

confidence: 99%

“…Kernel estimates of hazard functions have been developed by many authors (see e.g. References in Horová and Zelinka (2007)). …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hazard function for cancer patients and cancer cell dynamics

Horová¹,

Pospíšil²,

Zelinka³

2009

Journal of Theoretical Biology

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Abstract. The aim of the paper is to develop a procedure for an estimate of an analytical form of a hazard function for cancer patients. Although a deterministic approach based on cancer cell population dynamics yields the analytical expression, it depends on several parameters which should be estimated. On the other hand a kernel estimate is an effective nonparametric method for estimating of hazard functions. This method provides the pointwise estimate of the hazard function. Our procedure consists in two steps: in the first step we find the kernel estimate of the hazard function and in the second step the parameters in the deterministic model are obtained by the least squares method. A simulation study with different types of censorship is carried out and the developed procedure is applied to real data.

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Section: Kernel Estimates Of the Hazard Functionmentioning

confidence: 99%