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Variance function estimation

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A GRAPHICAL DIAGNOSTIC FOR VARIANCE FUNCTIONS

Australian & New Zealand Journal of Statistics, 2007
SummaryThis paper proposes diagnostic plots for regression variance functions. It shows how to extend graphical methodology that uses Bayesian sampling for checking the regression mean function to also check the variance function. Plots can be constructed quickly and easily for any model of interest.
Pardoe, Iain, Cook, R. Dennis
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Variance function estimation for immunoassays

Computer Programs in Biomedicine, 1980
A computer program is described which implements a recently described [1], modified likelihood method of determining an appropriate weighting function to use when fitting immunoassay dose-response curves. The relationship between the variance of the response and its mean value is assumed to have an exponential form, and the best fit to this model is ...
G M, Raab, R, Thompson, I, McKenzie
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Functional Variance Processes

Journal of the American Statistical Association, 2006
We introduce the notion of a functional variance process to quantify variation in functional data. The functional data are modeled as samples of smooth random trajectories observed under additive noise. The noise is assumed to be composed of white noise and a smooth random process—the functional variance process—which gives rise to smooth random ...
Muller, Hans-Georg, Stadtmuller, Ulrich, Yao, Fang   +2 more
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On polynomial variance functions

Probability Theory and Related Fields, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, Shaul K., Bshouty, Daoud, Enis, Peter   +2 more
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LOCAL MEDIAN ESTIMATION OF VARIANCE FUNCTION

Acta Mathematica Scientia, 2004
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Yang, Ying, Ip, W. C., Kwan, Y. K., Kwan, P. Y. K.   +3 more
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The Approximate Variance of a Function of Random Variables

Biometrical Journal, 1999
Summary: We approximate the variance of a function of random variables by using a second degree Taylor series expansion, and demonstrate the increased accuracy this second degree approximation gives over the usual Delta method by using some examples from genetics.
Tiwari, H. K., Elston, R. C.
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Variance weighting functions in radioimmunoassay calibration

American Journal of Physiology-Endocrinology and Metabolism, 1986
Software packages for radioimmunoassay calibration assume that expected counting rate is a function of ligand dose. Previous studies have indicated that variances of counting rate are also related to dose, but the structure of individual assays does not permit precise estimation of counting rate variances at individual doses.
T W, Gettys, P M, Burrows, D M, Henricks
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