共查询到20条相似文献,搜索用时 15 毫秒
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We establish some nonlinear estimates on using the particular features of convective bounds. 相似文献
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《Journal of computational and graphical statistics》2013,22(1):228-245
Linear transformation models, which have been extensively studied in survival analysis, include the two special cases: the proportional hazards model and the proportional odds model. Nonparametric maximum likelihood estimation is usually used to derive the efficient estimators. However, due to the large number of nuisance parameters, calculation of the nonparametric maximum likelihood estimator is difficult in practice, except for the proportional hazards model. We propose an efficient algorithm for computing the maximum likelihood estimates, where the dimensionality of the parameter space is dramatically reduced so that only a finite number of equations need to be solved. Moreover, the asymptotic variance is automatically estimated in the computing procedure. Extensive simulation studies indicate that the proposed algorithm works very well for linear transformation models. A real example is presented for an illustration of the new methodology. 相似文献
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S. I. Repin 《Journal of Mathematical Sciences》2002,109(5):1950-1964
In this paper, a posteriori estimates for the velocity, stress, and pressure fields are obtained for the stationary Stokes problem. The general estimate is a sum of three physically meaningful parts that correspond to the errors in the constitutive relations, in the incompressibility condition, and in the equilibrium equation for the associated stress field. It is proved that the right-hand side of the estimate tends to zero for any sequence converging to the exact solution in the energy space. Bibliography: 23 titles. 相似文献
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K. S. Akbash 《Ukrainian Mathematical Journal》2017,69(7):1144-1153
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运用参数的极大似然估计法,给出在线性约束条件Hβ=C下异方差回归模型参数β和λ的极大似然估计,并讨论了估计参数的性质和模型的残差.利用得到的结论对线性约束下异方差回归模型的进一步研究和应用具有一定的理论和实际价值. 相似文献
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Let P(z) =n∑j=0 a_jz~j be a polynomial of degree n and let M(P, r) = max|z|=r|P(z)|. If P(z) ≠ 0 in |z| 1, then M( P, r) ≥ ((1 + r)/ (1 + ρ))~ n M( P, ρ).The result is best possible. In this paper we shall present a refinement of this result and some other related results. 相似文献
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Let \(\Omega \subset {\mathbb {C}}\) be an open subset and let \({\mathcal {F}}\) be a space of functions defined on \(\Omega \). \({\mathcal {F}}\) is said to have the local maximum modulus property if: for every \(f\in {\mathcal {F}},p_0\in \Omega ,\) and for every sufficiently small domain \(D\subset \Omega ,\) with \(p_0\in D,\) it holds true that \(\max _{z\in \overline{D}}\left| f(z)\right| = \max _{z\in \Sigma \cup \partial D}\left| f(z)\right| ,\) where \(\Sigma \subset \Omega \) denotes the set of points at which \(\left| f\right| \) attains strict local maximum. This property fails for \({\mathcal {F}}=C^{\infty }.\) We verify it however for the set of complex-valued functions whose real and imaginary parts are real analytic. We show by example that the property cannot be improved upon whenever \({\mathcal {F}}\) is the set of n-analytic functions on \(\Omega \), \(n\ge 2,\) in the sense that locality cannot be removed as a condition and independently \(\Sigma \) cannot be removed from the conclusion. 相似文献
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广义线性模型极大似然估计的强相合性与渐近正态性 总被引:1,自引:0,他引:1
本文研究了若干重要类型的离散响应变量广义线性模型,在sum from i=1 to n ZiZi'的最小特征根大于cnα(对某个c>0,α>0)等条件下证明了回归参数向量的极大似然估计的强相合性与渐近正态性,其中设计阵序列{||Zn||}可以为无界序列. 相似文献
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Logistic回归系数极大似然估计的计算 总被引:1,自引:0,他引:1
本文介绍了Logstic回归系数的极大似然估计(maximum likelihood)的计算,并引入Levenberg—Marquardt算法,通过这代给出了Logistic回归系数的极大似然估计。 相似文献
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Let E be a totally real, analytic, n-dimensional manifold, foliated by analytic interpolation submanifolds of codimension 1, in the analytic boundary of a Segre-convex domain in ℂn. Given a canonical defining function of the boundary of Ω in a point 0 of E : Im z1 +R[Re z1, z′, z̄′]=0. If all the odd exponents in the decomposition of R in irreducible factors, at 0,are greater than 1 then R≥0 and E is locally contained in a maximum modulus set. 相似文献
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Doklady Mathematics - The problem of entropy estimation of probability density functions with allowance for real data is posed (the maximum entropy estimation (MEE) problem). Global existence... 相似文献
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Nikolai Yu. Bakaev 《BIT Numerical Mathematics》2001,41(2):215-239
We study a finite element approximation A
h, based on simplicial Lagrange elements, of a second order elliptic operator A under homogeneous Dirichlet boundary conditions in two and three dimensions, where h is thought of as a meshsize. The main result of the paper is a new resolvent estimate for the operator A
h in the L
-norm. This estimate is uniform with respect to h for the case with at least quadratic elements. In the case with linear elements, the estimate contains on the right a factor proportional to (log log
), where = 1 or =
in two or three dimensions, respectively.This revised version was published online in October 2005 with corrections to the Cover Date. 相似文献
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Let P(z) be a polynomial of degree n having all its zeros in |z|≤k, k ≤1, then for every real or complex number β, with |β|≤ 1 and R ≥ 1, it was shown by A.Zireh et al. [7] that for |z|=1,min|z|=1|P(Rz)+β((R+k)/(1+k))~nP(z)|≥k~(-n)|R~n+β((R+k)/(1+k))~n|min|z|=k|P(z)|.In this paper, we shall present a refinement of the above inequality. Besides, we shall also generalize some well-known results. 相似文献