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Asymptotics for Nonlinear Transformations of Fractionally Integrated Time Series
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作者 李松臣 张世英 《Transactions of Tianjin University》 EI CAS 2007年第5期387-390,共4页
The asymptotic theory for nonlinear transformations of fractionally integrated time series is developed. By the use of fractional Occupation Times Formula, various nonlinear functions of fractionally integrated series... The asymptotic theory for nonlinear transformations of fractionally integrated time series is developed. By the use of fractional Occupation Times Formula, various nonlinear functions of fractionally integrated series such as ARFIMA time series are studied, and the asymptotic distributions of the sample moments of such functions are obtained and analyzed. The transformations considered in this paper includes a variety of functions such as regular functions, integrable functions and asymptotically homogeneous functions that are often used in practical nonlinear econometric analysis. It is shown that the asymptotic theory of nonlinear transformations of original and normalized fractionally integrated processes is diffent from that of fractionally integrated processes, but is similar to the asymptotic theory of nonlinear transformations of integrated processes. 展开更多
关键词 fractionally integrated processes additive transformations regular transformations fractional Brownian motion fractional local time
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A Regularization Method for Approximating the Inverse Laplace Transform
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作者 A. Al-Shuaibi (King Fahd University of Petroleum and Minerals, Saudi Arabia.) 《Analysis in Theory and Applications》 1997年第1期58-65,共8页
A new method for approximating the inerse Laplace transform is presented. We first change our Laplace transform equation into a convolution type integral equation, where Tikhonov regularization techniques and the Four... A new method for approximating the inerse Laplace transform is presented. We first change our Laplace transform equation into a convolution type integral equation, where Tikhonov regularization techniques and the Fourier transformation are easily applied. We finally obtain a regularized approximation to the inverse Laplace transform as finite sum 展开更多
关键词 A regularization Method for Approximating the Inverse Laplace Transform
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CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM 被引量:2
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作者 郭娟 王金平 《Acta Mathematica Scientia》 SCIE CSCD 2014年第6期1875-1884,共10页
The loping OS-EM iteration is a numerically efficient regularization method for solving ill-posed problems. In this article we investigate the loping OS-EM iterative method in connection with the circular Radon transf... The loping OS-EM iteration is a numerically efficient regularization method for solving ill-posed problems. In this article we investigate the loping OS-EM iterative method in connection with the circular Radon transform. We show that the proposed method converges weakly for the noisy data. Numerical tests are presented for a linear problem related to photoacoustic tomography. 展开更多
关键词 ill-posed equations regularization loping OS-EM iteration circular Radon transform
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ADJOINT SYSTEM INTEGRALS FOR OPTIMAL SPACE N-IMPULSE TRANSFER
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作者 吴玉良 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第4期433-436,共4页
The adjoint system integrals for time free, optimal N-impulse transfer during a firing period in 5-phase selected are derived.
关键词 adjoint system impulse transfer regular transform
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Liouville theorems for an integral system with Poisson kernel on the upper half space 被引量:1
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作者 DOU Jing Bo ZHANG Xiang 《Science China Mathematics》 SCIE CSCD 2016年第7期1367-1382,共16页
We investigate the Liouville theorem for an integral system with Poisson kernel on the upper half space R+n,{u(x) =2/(nωn)∫?R+n(xnf(v(y)))/(|x- y|n)dy, x ∈R+n,v(y) =2/(nωn)∫R+n(xng(u(x)))/(... We investigate the Liouville theorem for an integral system with Poisson kernel on the upper half space R+n,{u(x) =2/(nωn)∫?R+n(xnf(v(y)))/(|x- y|n)dy, x ∈R+n,v(y) =2/(nωn)∫R+n(xng(u(x)))/(|x- y|n)dx, y ∈?R+n,where n 3, ωn is the volume of the unit ball in Rn. This integral system arises from the Euler-Lagrange equation corresponding to an integral inequality on the upper half space established by Hang et al.(2008).With natural structure conditions on f and g, we classify the positive solutions of the above system based on the method of moving spheres in integral form and the inequality mentioned above. 展开更多
关键词 Poisson kernel method of moving spheres regularity Kelvin transformation Liouville theorem
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