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1.
一类离散分布参数的经验Bayes估计的收敛速度   总被引:35,自引:1,他引:34  
In this paper we consider a family of discrete distributions fθ(x)dμ(x), and suppose that the Bayes estimate of φ(θ) with respect to the priori distribution H∈H has a form dH(x) =(?)ak(x)f(x+k)/f(x). where f(x)=∫fθdH(θ) . we construct asequence of empirical Bayes estimates and establish its rate of convergence, and prove that under suitable conditions this rate of convergence can arbitrarily close to 1. we also give a counter-example to the main Theorem 2.1 of [5], and then declare that the "Theorem" does not hold.  相似文献   

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关于具有负系数和缺系数的单叶函数   总被引:1,自引:0,他引:1  
Let Pk(A,B) be the class of functions(?), regu-lar in the unit disc U={z:|z|<1} and satisfying |[f′(z)-1]/[A-Bf′(z)]|<1 for z∈U, where -1≤Bk(A,B) under the assumption -1≤B≤0. We also obtain class preserving integral operators of the form.  相似文献   

3.
一类广义Schr?dinger型非线性高阶方程组   总被引:2,自引:0,他引:2  
In this paper we consider a class of semilinear systems of partial differential equations of higher order A(t)u1+(-1)MuxZM=f(u), which contain a class of the nonlinear Schr?dinger equations, where the matrix A(t) is nonsingular, nonnegative definite and f(u) satisfy the conditions (i) f(u) = -grad F(u), F(u)≥0(ii) (g(u),u)≤α(u,u) + b, g = A-1f. The existence, uniqueness and regularity of solutions for periodic boundary problems and Cauchy problems in global are proved.  相似文献   

4.
Let R be a ring with 1, I be a nilpotent subring of R (there exists a natural number n, such that In = 0), and I be generated by {xj |j ∈ J} as ring. Write U = 1 + I, and it is a nilpotent group with class ≤ n - 1. Let G be the subgroup of U which is generated by {1 + xj|j ∈ J}. The group constructed in this paper indicates that the nilpotency class of G can be less than that of U.  相似文献   

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In this paper, the authors investigate the boundedness of Toeplitz product Tf Tg and Hankel product H*fHg on Fock-Sobolev space for f, g ∈ P. As a result, the boundedness of Toeplitz operator Tf and Hankel operator Hg with f ∈ P is characterized.  相似文献   

7.
王晓荣  陈建龙 《东北数学》2008,24(5):409-422
In this paper, the "relative" version of semi-projectivity is considered. Let M and N be modules. N is called M-semi-projective, if any homomorphism from N to an M-eyclie submodule f(M) of N can be factored through to a homomorphism from N to M and f, where f∈[M, N]. Some properties of relative semi-projectivity are obtained. Next, we consider a wider class of "elatively semi-projective" modules such as "elatively direct-projective" modules which were introduced by Nicholson and Zhou. Several properties of their homomorphisms are also obtained.  相似文献   

8.
Let F be a graph. A hypergraph H is Berge-F if there is a bijection f : E(F) → E(H) such that e ? f(e) for every e ∈ E(F). A hypergraph is Berge-F-free if it does not contain a subhypergraph isomorphic to a Berge-F hypergraph. The authors denote the maximum number of hyperedges in an n-vertex r-uniform Berge-F-free hypergraph by exr(n, Berge-F).A (k, p)-fan, denoted by Fk,p, is a graph on k(p ? 1) + 1 vertices consisting of k cliques with p vertices that intersect in exactly one common vertex. In this paper they determine the bounds of exr(n, Berge-F) when F is a (k, p)-fan for k ≥ 2, p ≥ 3 and r ≥ 3.  相似文献   

9.
In this paper we consider the Mean Square Error (MSE) of two uaual estimates of density function f(x) at a point x: The uniform kernel estimate fn(x) and the NN estimate fn(x). we- show that when f is differentiable for sufficiently high order at x. these MSE can be expanded in a form E(fn(x)-f(x))2=A1(x)n-4/5 +A2(x)n-1+A3(x)n-6/5+…;E(fn(x)-f(x))2=B1(x)n-4/5 +B2(x)n-1+B3(x)n-6/5+… And if we suitably choose the parameters in fn and fn to make A1(x) and B1(x)to assume its minimunm value, then we also, have A2(x) =B2(x) but A3(X) differs form B3(X). This result shows that while the two estimates are not identical with respect to MSE. each one can be superior to the other in various special cases.  相似文献   

10.
In this paper we Ointroduce linear-spaces consisting of continuous functions whose graphs are the attactars of a special class of iterated function systems. We show that such spaces are finite dimensional and give the bases of these spaces in an implicit way. Given such a space, we discuss how to obtain a set of knots for whah the Lagrange interpolation problem by the space is uniquely solvable.  相似文献   

11.
Yushkov  E. V. 《Mathematical Notes》2011,90(3-4):597-610
Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from...  相似文献   

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An estimate of stability of characterization of distribution types is obtained for the case of additive types. Under some conditions, the estimate has the order ε1/3L(ε), where L(ε) is a slowly varying function. Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, Russia, 1996, Part I.  相似文献   

15.
The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986.  相似文献   

16.
We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987.  相似文献   

17.
杨海宣 《数学学报》1998,41(4):727-730
本文研究了完全正则半群簇的子簇格[V+∩PV,V+∩PV]的某些格运算性质,我们证明了簇V+∩PV可分解为V与V+∩PV的并;对任意完全正则半群簇W,有W∩(V∨V+∩PV)=(W∩V)∨(W∩V+∩PV).特别地,我们得到了等式V+∩PV=V成立的若干条件.  相似文献   

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In this paper, we prove that any subreduct of the class of representable relation algebras whose similarity type includes intersection, relation composition and converse is a non-finitely axiomatizable quasivariety and that its equational theory is not finitely based. We show the same result for subreducts of the class of representable cylindric algebras of dimension at least three whose similarity types include intersection and cylindrifications. A similar result is proved for subreducts of the class of representable sequential algebras. Received October 7, 1998; accepted in final form September 10, 1999.  相似文献   

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