[PDF] Top 20 Strong law for linear processes

... 12. Chen, X: The limit law of the iterated logarithm. J. Theor. Probab. (2013). doi:10.1007/s10959-013-0481-4 13. Li, D, Liang, H: The limit law of the iterated logarithm in Banach space. Stat. Probab. ... See full document

... the strong law of large numbers for the linear process holds with exponential convergence ...of linear processes of independent but non-identically distributed random variables { ζ i , ... See full document

... Clearly the most basic property for discrete linear repetitive processes is asymptotic stability and indeed in some applications this is all that can be achieved. For example, the matrix corresponding to A ... See full document

... It is well known that a supercritical single-type Bienaymé-Galton-Watson process can be viewed as a decomposable branching process formed by two subtypes of particles: those having infinite line of descent and those who ... See full document

... a strong lens modelling pipeline, which will become necessary in the short-term future to cope with the increasing rate of discovery of new strong lens ... See full document

... In the remainder of this section, we give some notations in sublinear expectation spaces. We use the framework and notations in Peng [14] and [15]. Let (Ω , F) be a given measur- able space and H be a linear space ... See full document

... repetitive processes; either the switching occurs from pass-to-pass or along a pass and this paper begins the development of tools for the analysis of these two ...to processes with periodic ... See full document

... linear) expectations relative to the capacities. Motivated by robust statistics and limit theories under sublinear ex- pectations given by Peng in 2007, Chen [3] in 2010 in- vestigated the strong law ... See full document

... Yang, “The law of the iterated logarithm and the central limit theorem with random indices for B-valued stationary linear processes,” Chinese Annals of Mathematics Series A, vol.. Wang, [r] ... See full document

... repetitive processes such an objective has to be clearly de1ned since the original model (1), (2) cannot be used to de1ne the eigenvalues of the closed-loop system under any control ...control law there is ... See full document

... almost linear space which generalizes normed linear ...almost linear space is a good concept the notion of a dual space of normed almost linear space X, has been introduced in this ...almost ... See full document

... piecewise linear finite element approximations of a parabolic ...global strong superconvergence of finite element schemes for a class of Sobolev equations in R d d ≥ 1, and two order superconvergence ... See full document

... Abstract. We give Chung-Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold ... See full document

... multiple linear constraints, such as shape-constraints based on ...Gaussian processes, Linear constraints, Virtual observations, Uncertainty Quantification, Computer code ... See full document

... dynamical processes taking place on them ...diffusion processes on con- tact networks and are affected by the ordering, concur- rence, duration, and heterogeneity in nodes’ activities and connectivity ... See full document

... inequality, strong law of large numbers, strong growth rate, and integrability of supremum for demimartingales, which generalize and improve partial results of Christofides 2000 and Prakasa Rao 2007 ... See full document

... it is possible to recover the initial hedgehog state with zero magnetization. It is the nucleation of the group of four inward-pointing spins in Fig. 10 共 h 兲 that decides the inward- pointing hedgehog. This recovery of ... See full document

... Remark 3.6. In this paper, the equivalence of the uniqueness in law and joint uniqueness in law holds when diffusion coefficient may be degenerate. We note that, for the general multidimensional stochastic ... See full document

... a linear context ∆, which contains linear expression ...were linear and must be permitted to be bound in either Γ or ...the linear resources in ∆ must be split whenever two subexpressions will ... See full document

... This paper considers a mean shift with an unknown shift point in a linear process and estimates the unknown shift point (change point) by the method of least squares. Pre-shift and post-shift means are estimated ... See full document