Let (Xj , Yj) n j=1 be a realization of a bivariate jointly strictly stationary process. We consider a robust estimator of the regression function m(x) = E(Y |X = x) by using local polynomial regression techniques. The estimator is a local M-estimator weighted by a kernel function. Under mixing conditions satisfied by many time series models, together with other appropriate conditions, consiste...

Estimation of finite population totals in the presence of auxiliary information is considered. A class of estimators based on local polynomial regression is proposed. Like generalized regression estimators, these estimators are weighted linear combinations of study variables, in which the weights are calibrated to known control totals, but the assumptions on the superpopulation model are consid...

With the Lv’s distribution (LVD), the chirp rates of linear frequency modulated (LFM) signals can be more accurately estimated for the local polynomial periodogram (LPP). Comparing to the estimation methods based on the polynomial Fourier transform (PFT) and fractional Fourier transform (FrFT), it is shown that LPP with the chirp rate estimated by LV’s distributioneffectively obtains better per...

This paper deals with an absorption spectroscopic method for trace gas measurements called DOAS (Diierential Optical Absorption Spectroscopy) from a statistical point of view. The DOAS technique is an absorption spectrosco-pic technique to measure trace gas concentrations. It is capable of detecting and measuring a number of important trace gases at tropospheric concentration levels by observin...

Consider a system F of n polynomials in n variables, with a total of n + k distinct exponent vectors, over any local field L. We discuss conjecturally tight upper and lower bounds on the maximal number of non-degenerate roots F can have over L, with all coordinates having fixed sign or fixed first digit, as a function of n and k only. In particular, for non-Archimedean L, we give the first non-...