共查询到20条相似文献,搜索用时 140 毫秒
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在随机设计条件下,提出了一类变系数联立模型,运用局部线性广义矩变窗宽估计,对模型的变系数进行了估计,研究了估计量的大样本性质.利用概率论中大数定律和中心极限定理,证明了估计量的大样本性质,局部线性广义矩变窗宽估计具有相合性和渐进正态性. 相似文献
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广义Logistic分布族在生物、医学、金融管理,以及气象、水文、地质等领域有重要的应用。迄今为止,对此分布族的研究已取得了一系列重要成果;令人遗憾的是,关于三参数I型广义Logistic分布的研究还很不深入。本文利用矩法首先讨论三参数I型广义Logistic分布形状参数的估计,然后利用线性回归分析方法讨论分布的位置参数和刻度参数的估计,改进矩估计。本文所给出的分布参数的估计方法简单、有效;证明了在一定的条件下,本文给出的估计量存在、唯一,且模拟显示:估计量在中小样本情形下,一致优于分布参数的矩估计和L矩估计;特别是在样本容量n介于20和30之间时,估计量有更小的估计偏差和方差。估计方法简单、实用且有效。 相似文献
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本文研究误差为α-混合的部分线性EV模型的矩收敛性问题.利用小波估计和修正最小二乘法,给出了参数和非参数部分的小波估计量,获得了小波估计量的矩收敛速度,推广了现有的一些结论. 相似文献
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研究一类新的非参数回归模型回归函数的核估计问题,其中误差项为一阶非参数自回归方程.通过重复利用Watson-Nadaraya核估计方法,构造了回归函数及误差回归函数的估计量分别为m(.)和ρ(.),在适当的条件下,证明了估计量m(.)和ρ(.)的渐近正态性. 相似文献
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Song LI~ 《中国科学A辑(英文版)》2007,50(7):1015-1025
Biorthogonal multiple wavelets are generated from refinable function vectors by using the multiresolution analysis.In this paper we provide a general method for the construction of compactly supported biorthogonal multiple wavelets by refinable function vectors which are the solutions of vector refinement equations of the form (?)(x)=(?)a(α)(?)(Mx-α),x∈R~s, where the vector of functions(?)=((?)_1,...,(?)_r)~T is in(L_2(R~s))~r,a=:(a(α))_(α∈Z~s)is a finitely supported sequence of r×r matrices called the refinement mask,and M is an s×s integer matrix such that lim_(n→∞)M~(-n)=0.Our characterizations are in the general setting and the main results of this paper are the real extensions of some known results. 相似文献
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Zhengyan Lin 《中国科学A辑(英文版)》1997,40(4):337-349
Let
be a sequence of independent Gaussian processes with (h)
Put
. The large increments forY(·) with bounded σ(p, h) are investigated. As an example the large increments of infinite-dimensional fractional Ornstein-Uhlenbeck process in IP are given. The method can also be applied to certain processes with stationary increments.
Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Zhejiang Province. 相似文献
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首先, 当$Q$是一个拟单调的q矩阵的时候,
我们找出最小的$Q$函数是一个Feller的转移函数的准则.
然后我们把这个结论应用于生成分支q矩阵并得到相应的生成分支过程的Feller准则.
特别地, 设$\theta$是分支q矩阵中的非线性数,
总是存在一个分点$\theta_0$满足$1\leq\theta_0\leq2$或$\theta_0<+\infty$使得
生成分支过程是否是Feller的要依据$\theta<\theta_0$或者$\theta>\theta_0$. 相似文献
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In this paper, convex solutions for the second type of Feigenbaum’s equation f (x) = λ1 f (f (λx)), 0 < λ < 1, f (0) = 1, 0 f (x) 1, x ∈ [0, 1] are investigated. Using constructive methods, we discuss the existence and uniqueness of continuous convex solutions, C1-convex solutions and C2-convex solutions of the above equation. 相似文献
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On Homogeneous Differential Polynomials
of Meromorphic Functions 总被引:2,自引:0,他引:2
In this paper, we study one conjecture proposed by W. Bergweiler and show that any
transcendental meromorphic functions f(z) have the form exp(αz+β) if f(z)f″(z)–a(f′ (z))2≠0,
where
. Moreover, an analogous normality criterion is obtained.
Supported by National Natural Science Foundation and Science Technology Promotion Foundation of Fujian
Province (2003) 相似文献
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Summary A modified Wald statistic for testing simple hypothesis against fixed as well as local alternatives is proposed. The asymptotic
expansions of the distributions of the proposed statistic as well as the Wald and Rao statistics under both the null and alternative
hypotheses are obtained. The powers of these statistics are compared and its is shown that for special structures of parameters
some statistics have same power in the sence of order
. The results obtained are applied for testing the hypothesis about the covariance matrix of the multivariate normal distribution
and it is shown that none of the tests based on the above statistics is uniformly superior.
Research supported by the National Science Foundation Grant MCS 830149. 相似文献
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E. Manstavičius 《Lithuanian Mathematical Journal》1999,39(4):393-407
Using additive functions defined on the combinatorial structure of all mappings of anN set into itself, we define paths in the space
endowed with the Skorokhod topology. Taking a mapping with equal probability, we get a sequence of random processes. Necessary
and sufficient conditions for the weak convergence of this sequence to a stochastic process with independent increments are
established. It is shown that the class of such processes contains all possible limits, provided that, on the components of
a mapping, the additive functions have values small in average.
Partially supported by the Lithuanian State Science and Studies Foundation.
Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania. Translated from Lietuvos Matematikos Rinkinys, Vol. 39, No. 4,
pp. 498–516, October–December, 1999.
Translated by E. Manstavičius 相似文献
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X(t) (t∉[0,∞)) is a subordinator with its upper index β less than one, g(u) is the index function ofX(t), andX(t), andX[0,1]={xϕR:X(t)=x} for sometϕ[0,1]{. If φ(s)(sϕ(0,1)) is a measure function andh
, then
. The packing dimension ofX (t) is the uppcr index β.
Project supported by the Natural Science Foundation of Zhejiang Province. 相似文献
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Kentaro Hirata 《Potential Analysis》2009,30(2):165-177
In an unbounded domain Ω in ℝ
n
(n ≥ 2) with a compact boundary or Ω = ℝ
n
, we investigate the existence of limits at infinity of positive superharmonic functions u on Ω satisfying a nonlinear inequality like as
where Δ is the Laplacian and c > 0 and p > 0 are constants. The result is applicable to positive solutions of semilinear elliptic equations of Matukuma type.
This work was partially supported by Grant-in-Aid for Young Scientists (B) (No. 19740062), Japan Society for the Promotion
of Science. 相似文献
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In this paper, we are concerned with the elliptic system of
{ -△u+V(x)u=g(x,v), x∈R^N,
-△v+V(x)v=f(x,u), x∈R^N,
where V(x) is a continuous potential well, f, g are continuous and asymptotically linear as t→∞. The existence of a positive solution and ground state solution are established via variational methods. 相似文献
{ -△u+V(x)u=g(x,v), x∈R^N,
-△v+V(x)v=f(x,u), x∈R^N,
where V(x) is a continuous potential well, f, g are continuous and asymptotically linear as t→∞. The existence of a positive solution and ground state solution are established via variational methods. 相似文献