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81.
A general version of the maximum pseudolikelihood estimate of parameters within the class of Gauss–Markov random fields is
stated in a rigorous way. Its asymptotic properties, namely the consistency, the asymptotic normality, and the relative asymptotic
efficiency are studied. Explicit formulas for the asymptotic covariance matrix are given, and a decrease of efficiency is
proved. A numerical example is added to show that the efficiency can be improved by enlarging the range of the conditional
distribution used in the estimator.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
82.
We study trigonometric sums in finite fields
. The Weil estimate of such sums is well known:
, where f is a polynomial with coefficients from F(Q). We construct two classes of polynomials f,
, for which
attains the largest possible value and, in particular,
. 相似文献
83.
We show that if a bounded analytic semigroup on satisfies a Gaussian estimate of order and is the generator of its consistent semigroup on , then generates a -regularized group on where . We obtain the estimate of () and the -independence of , and give applications to Schrödinger operators and elliptic operators of higher order.
84.
Alfredas Račkauskas 《Acta Appl Math》1999,58(1-3):237-246
For a projection estimator fn of an unknown density f we investigate the behavior of large deviations probability P{Tn > rn} when rn , where Tn is appropriately centered and normed quadratic error fn-f)2. 相似文献
85.
Zhijian Wu 《Proceedings of the American Mathematical Society》1999,127(11):3243-3249
We establish a capacitary strong type estimate for Lipschitz space and characterize the related Carleson measures.
86.
Shusen Ding 《Proceedings of the American Mathematical Society》1999,127(9):2657-2664
We obtain a local weighted Caccioppoli-type estimate and prove the weighted version of the weak reverse Hölder inequality for -harmonic tensors.
87.
In this paper, we take the parabolic equation with periodic boundary conditions as a model to present a spectral method with the Fourier approximation in spatial and single/multi-interval Legendre Petrov–Galerkin method in time. For the single interval spectral method in time, we obtain the optimal error estimate in L
2-norm. For the multi-interval spectral method in time, the L
2-optimal error estimate is valid in spatial. Numerical results show the efficiency of the methods. 相似文献
88.
Peter Hall 《Journal of multivariate analysis》1983,13(2):234-256
Some types of density estimators, particularly those based on trigonometric series, converge reasonably quickly to their limit except in the neighbourhood of one or two singularities. In this situation the mean integrated square error, the traditional measure of the efficiency of a density estimator, is an unsatisfactory measure. The notion of partial mean integrated square error is introduced and used to compare the performance of trigonometric series estimators. The results lead to consideration of some new estimators which have excellent properties from the points of view of both efficiency and ease of computation. 相似文献
89.
DING Yong LU Shanzhen & ZHANG PuDepartment of Mathematics Beijing Normal University Beijing China Department of Information Computing Science Zhejiang Institute of Science Technology Hangzhou China 《中国科学A辑(英文版)》2004,47(1):83-95
In this paper the authors give the weighted weak L logL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities for the Marcinkiewicz integral and its commutators with different weight functions are also discussed. 相似文献
90.
Rostislav?E.?MaiborodaEmail author Natalia?M.?Markovich 《Computational Statistics》2004,19(4):569-592
Summary Common non-parametric estimators of a probability density function (PDF) show bad performance for heavy-tailed PDFs. Using
a parametric approximation of the true cumulative distribution function (CDF), the transformation-retransformation of the
data is explored here as a useful tool for the reliable PDF prediction. The PDF estimators are compared by their capacity
to solve a classification problem. Simulation results and an application to Web data analysis are presented, too. 相似文献