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Generalized linear and generalized additive models in studies of species distributions:setting the scene
Statistical modeling Generalized linear model Generalized additive model Species distribution Predictive modeling
2015/8/21
An important statistical development of the last 30 years has been the advance in regression analysis provided by generalized linear models (GLMs) and generalized additive models (GAMs). Here we intro...
Wavelet deconvolution in a periodic setting
Adaptive estimation Deconvolution Meyer wavelet
2015/8/20
Deconvolution problems are naturally represented in the Fourier domain, whereas
thresholding in wavelet bases is known to have broad adaptivity properties. We study a method
which combines both fast...
Heat kernel generated frames in the setting of Dirichlet spaces
Heat kernel Gaussian bounds Functional calculus Sampling Frames Besov spaces
2012/6/19
Wavelet bases and frames consisting of band limited functions of nearly exponential localization on Rd are a powerful tool in harmonic analysis by making various spaces of functions and distributions ...
Elements of Polya-Schur theory in finite difference setting
Elements Polya-Schur theory finite difference setting Classical Analysis and ODEs
2012/4/16
In this note we attempt to develop an analog of P\'olya-Schur theory describing the class of univariate hyperbolicity preservers in the setting of linear finite difference operators. We study the clas...
The standard formulation of gauge theories results from the Lagrangian (functional integral) quantization of classical gauge theories. A more in-trinsic qunantum theoretical access in the spirit of Wi...
Calderón-Zygmund operators in the Bessel setting
Bessel operator Bessel semigroup maximal operator square function
2011/2/28
We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein square functions, mu...
We give a new simpler proof along with a generalization for the inequality of Yao and Iyer [10] arising in bioequivalence studies and by using a nonparametric approach we also discuss an extension of ...