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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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On estimating equations with censored data

Biometrika, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Estimates of Homogenization for the Beltrami Equation

Journal of Mathematical Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Estimating equations for kappa statistics

Statistics in Medicine, 2001
AbstractKappa statistics are often used for measuring agreement or association. The original measure suggested by Cohen for use with nominal data has since been generalized in a number of ways, including the incorporation of weights, adaptation for use with more than one rater and the application to bivariate data.
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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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A generalized estimating/pseudo-score equations approach for the estimation of structural equation models [PDF]

open access: possible, 2000
The results of two simulation studies suggest a mixed `generalized estimating/pseudo-score equations' approach to lead to more efficient estimators than a GEE approach proposed by Qu, Williams, Beck and Medendorp (1992) or a three-stage approach as proposed e.g.
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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 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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Estimates for nonlinear parabolic equations.

2000
Summary: We study smooth non-negative solutions of the equation \(u_t=\partial_j a_j(u,\nabla u)+a_0(u,\Delta u)\) in the strip \(S_T= \mathbb{R}^d\times (0,T)\), \(d\geq 1\). A regularizing effect, pointwise estimates and gradient estimates are obtained.
Fabricant, A., Marinov, M., Rangelov, T.
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