Hazard function for cancer patients and cancer cell dynamics |
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Authors: | Horová Ivana Pospísil Zdenek Zelinka Jirí |
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Institution: | Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotlarska 2, CZ-61137 Brno, Czech Republic |
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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 hazard functions. This method provides the pointwise estimate of the hazard function. Our procedure consists of 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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Keywords: | Random censorship model Hazard function Dynamic model Kernel estimate |
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