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Estimating Variance Functions in Developmental Toxicity Studies

Biometrics, 1995
The presence of intralitter correlation is a well known issue for analysis of the developmental toxicology data. The intralitter correlation coefficients observed in developmental toxicology data are generally different across dose groups. In this paper we use a generalized estimating equation procedure to model jointly the mean parameters and the ...
Bowman, Dale   +2 more
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Fermi convolution and variance function

Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science, 2023
In this paper, we determine the effect of the Fermi convolution power on the variance function of a Cauchy-Stieltjes Kernel (CSK) family. We then use the criteria of convergence for a sequence of variance functions to give an approximation of elements of the CSK family generated by the Fermi Poisson distribution.
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Minimum-variance synthetic discriminant functions

Journal of the Optical Society of America A, 1986
The conventional synthetic discriminant functions (SDF’s) determine a filter matched to a linear combination of the available training images such that the resulting cross-correlation output is constant for all training images. We remove the constraint that the filter must be matched to a linear combination of training images and consider a general ...
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Kriging with Nonparametric Variance Function Estimation

1998
A method for fitting regression models to data that exhibit spatial correlation and Heteroskedasticity is proposed. A combination of parametric and nonparametric regression techniques is used to iteratively estimate the various components of the model. The approach is demonstrated on a large dataset of predicted nitrogen runoff from agricultural lands ...
Opsomer, Jean D.   +9 more
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Average function and variance function for diagnostic purposes

Measurement, 1990
Abstract According to our experience, the variance function as the standard deviation of the average function is well suited as a diagnostic tool to monitor mechanical movements. Nonlinear effects during the movement can be detected using touch-induced or rub-induced vibrations to obtain direct information about loads to be expected.
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Analysis of variance on function spaces

Series Statistics, 1984
Summary: In this paper, we introduce the notion of analysis of variance on spaces of real functions defined on a product set and the ordinary analysis of variance in two way arrays appears as a special case. In order to obtain the results the theory of Gaussian measures on Banach spaces is employed and a decomposition into orthogonal subspaces of a ...
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Testing relevant hypotheses in functional variance function via self‐normalization

Scandinavian Journal of Statistics
AbstractWe propose a novel methodology for testing relevant hypotheses in the functional variance functions of contaminated functional data via spline‐backfitted kernel smoothing and self‐normalization. Our approach focuses on testing the null hypothesis of no relevant deviation instead of exact equality, such as the equality of two variance functions ...
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The Analysis of Variance for Estimable Functions

Biometrical Journal, 1977
Drwiega, T., Oktaba, W.
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