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Estimating equations for source separation
1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002This 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
2018Full 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, 2002The 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, 1983Let 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, 1972In 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, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Estimating equations for kappa statistics
Statistics in Medicine, 2001AbstractKappa 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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A generalized estimating/pseudo-score equations approach for the estimation of structural equation models [PDF]
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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Estimates of Homogenization for the Beltrami Equation
Journal of Mathematical Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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