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901.
Irina Ignatiouk-Robert 《Probability Theory and Related Fields》2006,134(1):44-80
The essential spectral radius of a sub-Markovian process is defined as the infimum of the spectral radiuses of all local perturbations
of the process. When the family of rescaled processes satisfies sample path large deviation principle, the spectral radius
and the essential spectral radius are expressed in terms of the rate function. The paper is motivated by applications to reflected
diffusions and jump Markov processes describing stochastic networks for which the sample path large deviation principle has
been established and the rate function has been identified while essential spectral radius has not been calculated. 相似文献
902.
We study bounds on the rate of convergence to the stationary distribution in monotone separable networks which are represented
in terms of stochastic recursive sequences. Monotonicity properties of this subclass of Markov chains allow us to formulate
conditions in terms of marginal network characteristics. Two particular examples, generalized Jackson networks and multiserver
queues, are considered. 相似文献
903.
We discuss the effect of a particular sequence acceleration method, the Lubkin W-transform, on the partial sums of Fourier
series. We consider a very general class of functions with a single jump discontinuity, and prove that this method fails on
a large set of points.
The authors were partially supported by the Kansas State University REU and NSF grant GOMT530725. 相似文献
904.
本文讨论了NA(negativeassociation)样本情形Pareto分布参数的经验Bayes(EB)单侧和双侧检验问题.利用概率密度函数的核估计构造了参数的经验Bayes检验函数,在适当的条件下证明了所提出的经验Bayes检验函数的渐近最优(a.o.)性并获得了其收敛速度. 相似文献
905.
Jian-Wen Peng 《Journal of Global Optimization》2007,39(3):441-457
In this paper, we introduce and study a new system of variational inclusions with (A, η, m)-accretive operators which contains variational inequalities, variational inclusions, systems of variational inequalities
and systems of variational inclusions in the literature as special cases. By using the resolvent technique for the (A, η, m)-accretive operators, we prove the existence and uniqueness of solution and the convergence of a new multi-step iterative
algorithm for this system of variational inclusions in real q-uniformly smooth Banach spaces. The results in this paper unifies, extends and improves some known results in the literature.
相似文献
906.
研究可压缩核废料污染问题,考虑包含分子扩散和弥散的一般情形.从问题的原始数学模型出发,构造了特征线有限元全离散格式.对通常使用的构造误差方程的方法进行了改进,证明了格式的最佳L∞(J;H1(Ω))收敛性. 相似文献
907.
We prove a multidimensional extension of Selberg’s central limit theorem for the logarithm of the Riemann zeta function on
the critical line. The limit is a totally disordered process, whose coordinates are all independent and Gaussian.
相似文献
908.
Pawe? Wo?ny 《Applied mathematics and computation》2009,215(4):1622-1645
A new method of summation of slowly convergent series is proposed. It may be successfully applied to the summation of generalized and basic hypergeometric series, as well as some classical orthogonal polynomial series expansions. In some special cases, our algorithm is equivalent to Wynn’s epsilon algorithm, Weniger transformation [E.J. Weniger, Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series, Computer Physics Reports 10 (1989) 189-371] or the technique recently introduced by ?í?ek et al. [J. ?í?ek, J. Zamastil, L. Skála, New summation technique for rapidly divergent perturbation series. Hydrogen atom in magnetic field, Journal of Mathematical Physics 44 (3) (2003) 962-968]. In the case of trigonometric series, our method is very similar to the Homeier’s H transformation, while in the case of orthogonal series — to the K transformation. Two iterated methods related to the proposed method are considered. Some theoretical results and several illustrative numerical examples are given. 相似文献
909.
The modified information criterion (MIC) is applied to detect multiple change points in a sequence of independent random variables. We find that the method is consistent in selecting the correct model, and the resulting test statistic has a simple limiting distribution. We show that the estimators for locations of change points achieve the best convergence rate, and their limiting distribution can be expressed as a function of a random walk. A simulation is conducted to demonstrate the usefulness of this method by comparing the powers between the MIC and the Schwarz information criterion. 相似文献
910.
In this paper we derive existence and comparison results for discontinuous improper functional integral equations of Volterra type in an ordered Banach space which has a regular order cone. For this purpose we prove Dominated and Monotone Convergence Theorems for improper integrals. The obtained results are then applied to first-order impulsive differential equations. Concrete examples are also solved by using symbolic programming. 相似文献