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Generalized Dunkl-Sobolev Spaces of Exponential Type and Applications
Dunkl operators Dunkl-Bessel-Laplace operator Generalized Dunkl-Sobolev spaces of exponential type Pseudo differential-difference operators Reproducing kernels
2010/1/22
We study the Sobolev spaces of exponential type associated with the Dunkl-Bessel Laplace operator. Some properties including completeness and the imbedding theorem are proved. We next introduce a clas...
Asymptotic Properties of the Maximum Likelihood Estimate in Generalized Linear Models with Stochastic Regressors
Generalized linear models Consistency Asymptotic normality
2007/12/12
For generalized linear models (GLM), in case the regressors are stochastic and have different distributions, the asymptotic properties of the maximum likelihood estimate (MLE) $\hat{\beta}_n$ of the p...