共查询到20条相似文献,搜索用时 31 毫秒
1.
Jin-hong You Gemai Chen Min Chen Xue-lei JiangUniversity of Regina Regina Saskatchewan SS OA CanadaUniversity of Calgary Calgary Alberta TN N CanadaAcademy of Mathematics System Sciences Chinese Academy of Sciences Beijing China 《应用数学学报(英文版)》2003,19(3):363-370
Consider the partly linear regression model ,where yi's are responses, xi = (xi1, xi2,…,xip)' and ti ∈T are known and nonrandom design points, T is a compact set in the real line is an unknown parameter vector, g(·) is an unknown function and {Ei} isa linear process, i.e., random variables with zeromean and variance o2e. Drawing upon B-spline estimation of g(·) and least squares estimation of 0, we construct estimators of the autocovariances of {Ei}- The uniform strong convergence rate of these estimators to their true values is then established. These results not only are a compensation for those of [23], but also have some application in modeling error structure. When the errors {Ei} are an ARMA process, our result can be used to develop a consistent procedure for determining the order of the ARMA process and identifying the non-zero coefficients of the process. Moreover, our result can be used to construct the asymptotically efficient estimators for parameters in the ARMA error process. 相似文献
2.
Zakhar Kabluchko 《Journal of Theoretical Probability》2012,25(2):424-437
Let {V
i,j
;(i,j)∈ℕ2} be a two-dimensional array of independent and identically distributed random variables. The limit laws of the sum of independent
random products
Zn=?i=1Nn?j=1neVi,jZ_n=\sum_{i=1}^{N_n}\prod_{j=1}^{n}e^{V_{i,j}} 相似文献
3.
Consider the real Clifford algebra ${\mathbb{R}_{0,n}}$ generated by e 1, e 2, . . . , e n satisfying ${e_{i}e_{j} + e_{j}e_{i} = -2\delta_{ij} , i, j = 1, 2, . . . , n, e_{0}}$ is the unit element. Let ${\Omega}$ be an open set in ${\mathbb{R}^{n+1}}$ . u(x) is called an h-regular function in ${\Omega}$ if $$D_{x}u(x) + \widehat{u}(x)h = 0, \quad\quad (0.1)$$ where ${D_x = \sum\limits_{i=0}^{n} e_{i}\partial_{xi}}$ is the Dirac operator in ${\mathbb{R}^{n+1}}$ , and ${\widehat{u}(x) = \sum \limits_{A} (-1)^{\#A}u_{A}(x)e_{A}, \#A}$ denotes the cardinality of A and ${h = \sum\limits_{k=0}^{n} h_{k}e_{k}}$ is a constant paravector. In this paper, we mainly consider the Hilbert boundary value problem (BVP) for h-regular functions in ${\mathbb{R}_{+}^{n+1}}$ . 相似文献
4.
We consider the second order differential equation
, where (x,t)
N+1, 0<m
0N, the coefficients a
i,j
belong to a suitable space of vanishing mean oscillation functions VMO
L
and B=(b
i,j
) is a constant real matrix. The aim of this paper is to study interior regularity for weak solutions to the above equation assuming that F
j
belong to a function space of Morrey type. 相似文献
5.
Positive Solutions for Semipositone
<Emphasis Type="Italic">m</Emphasis>-point Boundary-value
Problems 总被引:7,自引:0,他引:7
Abstract
Let ξ
i
∈ (0, 1) with 0 <
ξ1 < ξ2 <
··· < ξ
m−2 < 1,
a
i
, b
i
∈ [0,∞) with
and
. We consider the
m-point boundary-value
problem
6.
Marco Bramanti Giovanni Cupini Ermanno Lanconelli Enrico Priola 《Mathematische Zeitschrift》2010,266(4):789-816
We consider a class of degenerate Ornstein–Uhlenbeck operators in ${\mathbb{R}^{N}}
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