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Hessian Estimate for Heat Equation

The Journal of Geometric Analysis, 2017
The author derives an interior Hessian estimate for the scalar heat equation on a complete Riemannian manifold \((M^n,g)\) which is independent of the covariant derivatives of the curvature. More precisely, assume that the curvature operator is bounded, \(|\mathrm{Rm}|\leq K\) on the geodesic ball \(B_p(\rho)\) centered at \(p\) and with radius \(\rho,\
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Estimating the Solutions of the Boltzmann Equation

Journal of Statistical Physics, 2006
The author wants to study an estimate of the solution of the Boltzmann equation in \(\mathbb R^n\). Two basic lemmas are given. Using both lemmas, he gives the estimate for the integral term included angular momentum, which might permit a progress in the theory of the existence of a weak solution.
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Local influence in estimating equations

Computational Statistics & Data Analysis, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria Kelly Venezuela   +2 more
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Estimating equations for source separation

1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002
This paper proposes a unifying view of source separation via the concepts of 'estimating function' and 'estimating equation'. We exhibit the estimating functions corresponding to various known techniques like ICA, JADE, infomax, maximum likelihood, cumulant matching, etc...
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Methods of Tooth Equator Estimation

2018
Full automation of the designing process of an occlusal splint requires an algorithm to determine the boundary of the splint. For this purpose, the idea of tooth equator is frequently used. The task is to find the approximate level where the teeth are widest, and then cut off the shape of the splint there.
Agnieszka Anna Tomaka   +3 more
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A stability estimate for convolution equation

Applied Mathematics and Computation, 2002
The author gives an estimate for the solution of a convolution equation \[ \int_R k(x-y)f(y)dy=F(x), x\in R \tag{1} \] where \(f(x), F(x) \in L_2(R)\). Theorem. Assume that \(\int_R |\widehat{f}(\xi)|^2 (1+|\xi|^2) d\xi \leq M\). Then for the solution of the equation (1), the following estimate is valid \(\|f\|_2\leq \frac{1}{k_c}\|F\|_2+\frac{1}{c}M\)
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Saddlepoint approximations for estimating equations

Biometrika, 1983
Let X be a random variable (or a random vector) with probability density f(x,\(\theta)\). The function \(\Psi (x,\theta)\) is assumed to be monotonically decreasing in \(\theta\) for all x and \(E\Psi(X,\theta)=0\) for all \(\theta\). Given a random sample \(x_ 1,...,x_ n\) from such a distribution, an estimate of \(\theta\) is provided by the unique ...
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On the Accuracy of Efficiency of Estimating Equation Approach

Biometrics, 2000
Summary.Liang and Zeger (1986,Biometrika73, 13–22) introduced a generalized estimating equation (GEE) approach based on a working correlation matrix to obtain efficient estimators of regression parameters in the class of generalized linear models for repeated measures data. As demonstrated by Crowder (1995,Biometrika82, 407–410), because of uncertainty
Sutradhar, Brajendra C., Das, Kalyan
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ON AN ESTIMATE FOR SOLUTIONS OF THUE'S EQUATION

Mathematics of the USSR-Izvestiya, 1972
In this article we derive a new effective estimate for solutions of Thue's equation as a function of the coefficients of the equation.
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On estimating equations with censored data

Biometrika, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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