Comparative study of two kernel smoothing techniques

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Authors	ZELINKA Jiří VESELÝ Vítězslav HOROVÁ Ivanka
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	Faculty of Economics and Administration
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.
Related projects:	Functional-differential equations and mathematical-statistical models