It has been shown that local linear smoothing possesses a variety of very attractive properties, not least being its mean square performance. However, such results typically refer only to asymptotic mean squared error, meaning the mean squared error of the asymptotic distribution, and in fact, the actual mean squared error is often in®nite. See Seifert and Gasser (1996). This diculty may be ov...

In industries, how to improve forecasting accuracy such as sales, shipping is an important issue. There are many researches made on this. In this paper, a hybrid method is introduced and plural methods are compared. Focusing that the equation of exponential smoothing method(ESM) is equivalent to (1,1) order ARMA model equation, new method of estimation of smoothing constant in exponential smoot...

A novel technique for multi-scale smoothing of a free-form 3-D surface is presented. Complete triangulated models of 3-D objects are constructed automatically and using a local parametrization technique, are then smoothed using a 2-D Gaussian filter. Our method for local parametrization makes use of semigeodesic coordinates as a natural and efficient way of sampling the local surface shape. The...

A novel technique for multi-scale smoothing of a free-form 3-D surface is presented. Complete triangulated models of 3-D objects are constructed (through fusion of range images) and are then described at multiple scales. This is achieved by convolving local parametrizations of the surface with 2-D Gaussian filters iteratively. Our method for local parametrization makes use of semigeodesic or go...

Varying coeecient models result from generalized linear models by allowing the parameter of the linear predictor to vary across some additional explanatory quantity called eeect modiier. While Hastie & Tibshirani (1993) have used spline smoothing techniques in varying-coeecient models with univariate response here the local likelihood approach is considered within the framework of multivariate ...

A novel technique for multi-scale smoothing of a freeform 3-D surface is presented. Complete triangulated models of 3-D objects are constructed at our center [4] and using a local parametrization technique, are then smoothed using a 2-D Gaussian filter. Our method for local parametrization makes use of semigeodesic coordinates as a natural and efficient way of sampling the local surface shape. ...

I would like to congratulate Professor Antoniadis for successfully outlining the current state-of-art of wavelet applications in statistics. Since wavelet techniques were introduced to statistics in the early 90's, the applications of wavelet techniques have mushroomed. There is a vast forest of wavelet theory and techniques in statistics and one can nd himself easily lost in the jungle. The re...

This paper presents a novel method for speckle reduction in ultrasonic images. Firstly, a particular filtering kernel is defined by decomposing the local rectangular neighborhood into asymmetric sticks pointing outside with variable orientation from the investigated pixel. Then the local mean and variance along each stick are calculated using a template based convolution algorithm. Finally, a p...