Supported by the National Natural Science Foundation of China (No. 11001267);the Fundamental Research Funds for the Central Universities in China (No. 2009QS02);Supported by the National Natural Science Foundation of China (No. 10701079, 10871001)
Linear mixed models (LMMs) have become an important statistical method for analyzing cluster or longitudinal data. In most cases, it is assumed that the distributions of the random effects and the errors are normal....
Supported by the National Natural Science Foundation of China(10871001);Supported by the Provincial Natural Science Research Project of Anhui Colleges(KJ2010A005);Supported by the Talents Youth Fund of Anhui Province Universities(2010SQRL016ZD);Supported by the Youth Science Research Fund of Anhui University(2009QN011A)
Let {X n , n ≥ 1} be an arbitrary sequence of random variables. Some convergence results for the partial sums of arbitrary sequence of random variables are obtained, which generalize the known results for independent...
Supported by the National Natural Science Foundation of China (Grant No.10871001);Provincial Natural Science Research Project of Anhui Colleges (Grant No.KJ2010A005);Talents Youth Fund of Anhui Province Universities(Grant No.2010SQRL016ZD);Youth Science Research Fund of Anhui University (Grant No.2009QN011A);the Academic innovation team of Anhui University (Grant No.KJTD001B)
In this paper,we extend the Kolmogorov-type inequality to the case of ψ-mixing sequences.Moreover,we study the strong limit theorems for partial sums of ψ-mixing random variables.As a result,we extend the Khintchine...
Supported by the Anhui Provincial Natural Science Foundation(11040606M04); Supported by the National Natural Science Foundation of China(10871001,10971097)
The paper considers a multivariate partially linear model under independent errors,and investigates the asymptotic bias and variance-covariance for parametric component βand nonparametric component F(·)by the GJS ...