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Comparative study of two kernel smoothing techniques
Authors | |
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Year of publication | 2004 |
Type | Article in Proceedings |
Conference | Proceedings of the Summer School DATASTAT'2003, Folia Fac. Sci. Nat. Univ. Masaryk. Brunensis, Mathematica 15 |
MU Faculty or unit | |
Citation | |
Field | General mathematics |
Keywords | functional approximations; overcomplete frame expansions; kernel smoothing; kernel operators |
Description | The kernel functions (kernels) can be used in many types of non-parametric methods - estimation of the density function of a random variable, estimation of the hazard function or the regression function. These methods belong to the most efficient non-parametric methods. Another non-parametric method uses so-called frames - overcomplete systems of functions of some type. This paper compares the kernel smoothing and the frame smoothing with frames of a special kind - the kernel functions are used for their construction. Both smoothing procedures are applied to simulated data. Obtained results will be presented graphically. |
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