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Weighted estimation of single index models with right censored responses

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Science china Mathematics 2011年第3期54卷 479-514页

作者： WANG YanHua1, LI XiaYan2, WANG QiHua3 & HE ShuYuan4 1school of sciences, beijing Institute of Technology, beijing 100081, china 2Department of Mathematics, university of Science and Technology of china, Hefei 230026, china 3Chinese Academy of Mathematics and System Science, beijing 100080, china 4school of mathematical sciences, capital normal university, beijing 100048, china 1. school of sciences Beijing Institute of Technology Beijing 100081 China2. Department of Mathematics University of Science and Technology of China Hefei 230026 China3. Chinese Academy of Mathematics and System Science Beijing 100080 China4. School of Mathematical Sciences Capital Normal University Beijing 100048 China

In this paper, the unknown link function, the direction parameter, and the heteroscedastic variance in single index models are estimated by the random weight method under the random censorship, respectively. The central limit theory and the convergence rate of the law of the iterated logarithm for the estimator of the direction parameter are derived, respectively. The optimal convergence rates for the estimators of the link function and the heteroscedastic variance are obtained. Simulation results support the theoretical results of the paper.

关键词： single index models random censorship central limit theorem law of the iterated logarithm weighted least squares unknown link function

Boundedness for commutators of fractional Hardy operators on Herz spaces

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Progress in Natural Science:Materials International 2007年第1期17卷 20-25页

作者： FU Zunwei, LIU Zongguang and LU Shanzhen ( school of mathematical sciences, beijing normal university, beijing 100875, china Department of Mathematics, Linyi normal university, Linyi 276005, china Department of Mathematics, china university of Mining and Technology, beijing 100083, china) [a]school of mathematical sciences Beijing Normal University Beijing China [b]Departhent of Mathematics Linyi Normal University Linyi China [c]Departhent of Mathematics China University of Mining and Technology Beijing China

Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.

关键词： fractional Hardy operator Hardy’s integral inequality commutator one-sided CMO function homogeneous Herz space.

Development and application of ergodicity model with FRCM and FLAR for hydrological process

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Science china(Technological sciences) 2009年第2期52卷 379-386页

作者： WANG HongRui1, FENG QiLei2, LIN Xin3 & ZENG WenYi4 1 College of Water Science, Key Laboratory for Water and Sediment sciences of the Ministry of Education, beijing normal university, beijing 100875, china 2.school of Science, beijing Institute of Education, beijing 100011, china 3 school of mathematical sciences, beijing normal university, beijing 100875, china 4 College of Information Science and Technology, beijing normal university, beijing 100875, china 1. College of Water Science Key Laboratory for Water and Sediment Sciences of the Ministry of Education Beijing Normal University Beijing 100875 China 2. school of Science Beijing Institute of Education Beijing 100011 China 3. school of mathematical sciences Beijing Normal University Beijing 100875 China 4. College of Information Science and Technology Beijing Normal University Beijing 100875 China

In this paper, a new ergodic property analysis model of hydrological process is proposed based on fuzzy-rough c-means clustering (FRCM), autocorrelogram, and fuzzy least absolute regression (FLAR). A precipitation time series (1951―2004) from Shanghai Hydrology Station is then analyzed with the model. The results show that the precipitation time series of April, May, June, and September has er-godic property. We conclude that in the long run, the precipitation of April, May, June, and September will not keep decreasing; it will converge to its mean value in some period.

关键词： hydrological process ergodic autocorrelogram fuzzy-rough c-means clustering fuzzy least absolute regression

Local 3-cocycles of von Neumann algebras

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Science china Mathematics 2007年第9期50卷 1240-1250页

作者： Cheng-jun HOU~(1+) Ben-yin FU~2 1 school of mathematical sciences,Qufu normal university,Qufu 273165,china 2.school of mathematical sciences,Fudan university,Shanghai 200433,china 1. school of mathematical sciences Qufu Normal University Qufu 273165 China 2. school of mathematical sciences Fudan University Shanghai 200433 China

We show that every local 3-cocycle of a von Neumann algebra $\mathcal{R}$ into an arbitrary unital dual $\mathcal{R}$ -bimodule $\mathcal{S}$ is a 3-cocycle.

关键词： von Neumann algebra dual bimodule local 3-cocycle 3-cocycle 46L10

Exact n-width on the class of analytic functions in the space of continuous functions

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Progress in Natural Science:Materials International 2005年第8期15卷 761-764页

作者： FANG Gensun* and LI Xuehua(school of mathematical sciences, beijing normal university, beijing 100875, china) school of mathematical sciences Beijing Normal University Beijing 100875 China

Let ω(·) be a given concave modulus of continuity and ω(g,·) be the modulus of continuity of a function g∈C, where C is the space of 2π-periodic, continuous functions on with norm ‖f‖_C∶= maxt∈|f(t)|, r,ω__ ∞,β(r=0,1,2,…) denotes those 2π-periodic, real-valued functions f on that are analytic in the strip S_β∶=｛z∈:|Imz|0, and satisfy the restriction condition: ω(f (r),·)≤ω(·). In this paper, the exact n-width of the class of functions r,ω__ ∞,β in the space C is determined.

关键词： analytic function concave modulus of continuity n-width.

A new fossil genus of Mesosciophilidae(Diptera,Nematocera) with two new species from the Middle Jurassic of Inner Mongolia,china

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Progress in Natural Science:Materials International 2009年第12期19卷 1837-1841页

作者： Tingting Li,Dong Ren~* College of Life Science,capital normal university,beijing 100048,china [a]College of Life Science Capital Normal University Beijing 100048 China

A new genus within the family Mesosciophilidae,Jurasciophila ***.,with two new species,J,curvula *** *** *** *** ***.,are described and *** are established based on fossil specimens with bodies and complete *** of them were collected from the late Middle Jurassic Jiulongshan Formation of Daohugou in southeastern Inner Mongolia,*** with two known genera,Mesosciophilina(Kovalev,1985) and Mesosciophilopsis(Blagoderov,1994),the new genus has transitional characters. The distribution pattern of Mesosciophilidae is briefly discussed.

关键词： Mesosciophilidae Middle Jurassic Jiulongshan Formation

Quality evaluation for air plasma spray thermal barrier coatings with pulsed thermography

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Progress in Natural Science:Materials International 2011年第4期21卷 301-306页

作者： Shi-bin ZHAO~1,Cun-lin ZHANG~2,Nai-ming WU~3,Hua-ming WANG~1 1.school of Materials Science and Engineering,Beihang university,beijing 100191,china 2.Department of Physics,capital normal university,beijing 100048,china 3.school of Jet Propulsion,Beihang university,beijing 100191,china [a] school of Materials Science and Engineering Beihang University Beijing 100191 China [b] Department of Physics Capital Normal University Beijing 100048 China [c] school of Jet Propulsion Beihang University Beijing 100191 China

Pulsed thermography(PT) as a non-contact non-destructive evaluation(NDE) technique was employed to examine as-sprayed air plasma spray(APS) thermal barrier coatings(TBCs) for quality *** and micro-structural characteristics play a vital role in determining the *** this paper,PT logarithmic peak second-derivative method was adopted to measure the thickness of top *** dependent thermal images were used to characterize the microstructure which was confirmed by scanning electron microscope(SEM).The results showed that there was relationship between the temperature distribution of the surface and microstructure change in *** distribution in thermal images and measurement results of thickness were in fairly good agreement with the microstructure *** can be concluded that it was possible to employ these NDE methods as quality evaluation for as-sprayed TBCs.

关键词： thermal barrier coatings(TBCs) non-destructive evaluation(NDE) pulsed thermography microstructure thickness measurement

Moderate deviations for the quenched mean of the super-Brownian motion with random immigration

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Science china Mathematics 2008年第3期51卷 343-350页

作者： HONG WenMing school of mathematical sciences, Laboratory of Mathematics and Complex Systems, Ministry of Education,beijing normal university, beijing 100875, china school of mathematical sciences Laboratory of Mathematics Complex Systems Ministry of Education Beijing Normal University Beijing 100875 China

Moderate deviations for the quenched mean of the super-Brownian motion with random immigration are proved for 3≤d≤6, which fills in the gap between central limit theorem(CLT)and large deviation principle(LDP).

关键词： super-Brownian motion large deviation moderate deviation random immigration Primary 60J80 Secondary 60F05

Estimates on Bloch constants for planar harmonic mappings

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Science china Mathematics 2009年第1期52卷 87-93页

作者： LIU MingSheng school of mathematical sciences, South china normal university, Guangzhou 510631, china school of mathematical sciences South China Normal University Guangzhou 510631 China

The Bloch constants for quasiregular harmonic mappings and open planar harmonic mappings are considered. Better estimates are obtained. The results, presented in this paper, improve the one made by Chen et al. and Gri... 详细信息

关键词： Bloch constant quasiregular harmonic mapping open planar harmonic mapping 30C99 30C62