Comparative Study of Two Kernel Smoothing Techniques

نویسندگان

  • JIŘÍ ZELINKA
  • IVANA HOROVÁ
  • Jiří Zelinka
  • Vítězslav Veselý
  • Ivana Horová
چکیده

The kernel functions (kernels) can be used in many types of nonparametric 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 nonparametric method uses so-called frames overcomplet 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 the smoothing procedures are applied to simulated data. Obtained results will be presented graphically.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Comparison of the Nonparametric Regression Models using Smoothing Spline and Kernel Regression

This paper study about using of nonparametric models for Gross National Product data in Turkey and Stanford heart transplant data. It is discussed two nonparametric techniques called smoothing spline and kernel regression. The main goal is to compare the techniques used for prediction of the nonparametric regression models. According to the results of numerical studies, it is concluded that smo...

متن کامل

Two-step Smoothing Estimation of the Time-variant Parameter with Application to Temperature Data

‎In this article‎, ‎we develop two nonparametric smoothing estimators for parameter of a time-variant parametric model‎. ‎This parameter can be from any parametric family or from any parametric or semi-parametric regression model‎. ‎Estimation is based on a two-step procedure‎, ‎in which we first get the raw estimate of the parameter at a set of disjoint time...

متن کامل

Kernel PLS Smoothing for Nonparametric Regression Curve Fitting: an Application to Event Related Potentials

We present a novel smoothing approach to nonparametric regression curve fitting. This is based on kernel partial least squares (PLS) regression in reproducing kernel Hilbert space. It is our interest to apply the methodology for smoothing experimental data, such as brain event related potentials, where some level of knowledge about areas of different degrees of smoothness, local inhomogeneities...

متن کامل

Relationships between Gaussian processes, Support Vector machines and Smoothing Splines

Bayesian Gaussian processes and Support Vector machines are powerful kernel-based methods to attack the pattern recognition problem. Probably due to the very different philosophies of the fields they have been originally proposed in, techniques for these two models have been developed somewhat in isolation from each other. This tutorial paper reviews relationships between Bayesian Gaussian proc...

متن کامل

A new family of Gaussian filters with adaptive lobe location and smoothing strength for efficient image restoration

Noise can occur during image capture, transmission, or processing phases. Image de-noising is a very important step in image processing, and many approaches are developed in order to achieve this goal such as the Gaussian filter which is efficient in noise removal. Its smoothing efficiency depends on the value of its standard deviation. The mask representing the filter presents generally static...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004