共查询到20条相似文献,搜索用时 46 毫秒
1.
遍历性是平稳随机过程的一个核心问题,在实践中有重要的应用.这里首先给出复平稳序列均值遍历性的一个等价定义,在此基础上证明了复平稳序列情形下均值遍历性的两个充要条件,并给出一个形式简单的推论,这些结果有助于深入的理解复平稳过程的均值遍历性,同时也为估计复平稳过程的均值提供了一种简单高效的方法. 相似文献
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《Annals of Differential Equations》2012,(3):332-337
In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z + and then show some properties of asymptotically mean almost periodic solutions to random difference equations. 相似文献
3.
《随机分析与应用》2013,31(6):1525-1551
Abstract Vector-valued, asymptotically stationary processes on σ-compact locally compact amenable groups are studied. For such processes, we introduce associated spectral measures. Using an “almost periodic Fourier transform,” one can identify the almost periodic spectrum of the asymptotically stationary covariance, and we construct a natural, consistent estimator for this almost periodic spectrum. 相似文献
4.
Banach空间中Ishikawa迭代序列的稳定性和收敛性问题 总被引:1,自引:0,他引:1
在Banach空间的框架下,讨论了中间意义下的渐进非扩张的渐进伪压缩的具平均误差的修正的Ishikawa和Mann迭代序列的收敛性和稳定性之间的等价性问题,改进和推广了以前的结果. 相似文献
5.
In this note we study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, outside a given compact subset in an asymptotically flat 3-manifold with positive mass, stable spheres of given constant mean curvature are unique. Therefore we are able to conclude that the foliation of stable spheres of constant mean curvature in an asymptotically flat 3-manifold with positive mass outside a given compact subset is unique.
6.
Stationary distribution and persistence of a stochastic predator-prey model with a functional response
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A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model are considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results. 相似文献
7.
Dynamic Analysis of an Impulsive Chemostat Model with Microbial Competition and Nonlinear Perturbation
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In this paper, we propose an impulsive chemostat model with microbial competition and nonlinear perturbation. First, thresholds for the extinction of both microoganisms are given. Second, we investigate the persistence in mean and boundedness of the chemostat system by constructing Lyapunov function. Moreover, we obtain the sufficient condition for the existence of an ergodic stationary distribution of the system. At last, numerical simulations are presented, and the results show that the competition between two species tends to make one species disappear from their common habitat, especially when the competition is concentrated in a single resource. 相似文献
8.
The problem of existence of spacelike hypersurfaces with constant mean curvature in asymptotically flat spacetimes is considered for a class of asymptotically Schwarzschild spacetimes satisfying an interior condition. Using a barrier construction, a proof is given of the existence of complete hypersurfaces with constant mean cuvature which intersect null infinity in a regular cut. 相似文献
9.
Vector-valued, asymptotically stationary stochastic processes on -compact locally compact abelian groups are studied. For such processes, we introduce a stationary spectral measure and show that it is discrete if and only if the asymptotically stationary covariance function is almost periodic. Using an almost periodic Fourier transform we recover the discrete part of the spectral measure and construct a natural, consistent estimator for the latter from samples of the process. 相似文献
10.
非线性映射具误差的迭代序列在Banach空间中的收敛问题 总被引:1,自引:0,他引:1
SunZhaohong NiYongqin HeChang 《高校应用数学学报(英文版)》2004,19(1):81-89
In this paper,the approximation problems of Ishikawa iteration with errors of fixedpoints for asymptotically nonexpansive mappings and asymptotically pseudocontractivemappings in arbitrary real Banach spaces are investigated. Some necessary condition andsufficient condition for the convergence of iterative sequences are given respectively. The resultsthus extend and improve some recent corresponding results. 相似文献
11.
In this paper, we investigate some popular technical analysis indexes for AR-ARCH model as real stock market. Under the given conditions, we show that the corresponding statistics are asymptotically stationary and the law of large numbers hold for frequencies of the stock prices falling out normal scope of these technical analysis indexes under AR-ARCH, and give the rate of convergence in the case of nonstationary initial values, which give a mathematical rationale for these methods of technical analysis in supervising the security trends. 相似文献
12.
Łukasz Dębowski 《Journal of Theoretical Probability》2010,23(1):237-256
We collect several observations that concern variable-length coding of two-sided infinite sequences in a probabilistic setting.
Attention is paid to images and preimages of asymptotically mean stationary measures defined on subsets of these sequences.
We point out sufficient conditions under which the variable-length coding and its inverse preserve asymptotic mean stationarity.
Moreover, conditions for preservation of shift-invariant σ-fields and the finite-energy property are discussed, and the block entropies for stationary means of coded processes are
related in some cases. Subsequently, we apply certain of these results to construct a stationary nonergodic process with a desired
linguistic interpretation. 相似文献
13.
研究了Banach空间中依中间意义渐近非扩张映象具误差的三步平均值迭代序列收敛问题,所得结果改进和发展了相关文献中的结果. 相似文献
14.
This paper proposes an analysis of asymptotically mean stationary (AMS) communication channels. A hierarchy based on stability properties (stationarity, quasi-stationarity, recurrence and asymptotically mean stationarity) of channels is identified. Stationary channels are a subclass of quasi-stationary channels which are a subclass of recurrent AMS channels which are a subclass of AMS channels. These classes are proved to be stable under Markovian composition of channels (e.g., the cascade of AMS channels is an AMS channel). Characterizations of channels of each class are given. Some properties of the quasi-stationary mean of a channel are established. Finally, ergodicity conditions of AMS channels are gathered. 相似文献
15.
Andrew F. Seila 《Operations Research Letters》1982,1(4):153-156
A definition is given of regenerative simulation that applies to simulation that applies to simulations with multiple responses. Then, a multivariate regenerative estimator of the stationary mean response is presented and shown to be asymptotically normal. Methods for computing confidence regions and simultaneous confidence intervals are also presented. 相似文献
16.
为逼近建模和辨识问题的需要,讨论线性时变连续有界输入有界输出稳定衰退记忆系统的不同子类.从衰退记忆系统的子类包括概周期系统,渐近周期系统,渐近强周期系统,找到了LTV系统的可分子空间即渐近强周期系统. 相似文献
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The long term behavior of solutions of stochastic delay differential equations with a fading stochastic perturbations is investigated. It is shown that if the level of stochastic perturbations fades on the infinity, for instance, if it is given by square integrable function, then an asymptotically stable deterministic system remains to be an asymptotically stable (in mean square). 相似文献