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Estimation of a Variance Function, with Application to Immunoassay

Gillian M. Raab

Journal of the Royal Statistical Society Series C, 1981, vol. 30, issue 1, 32-40

Abstract: The problem of estimating variances by pooling information from a large number of small samples is tackled. Maximum likelihood methods are shown to be inconsistent, but a modified maximum likelihood method is described which gives consistent estimators. A modified likelihood ratio test of fit is also developed, and the application of these results to immunoassay data is described. Comparison with a regression method shows that if the variance function is given by an exponential model, and the observations are in sets of 2, 3 or 4, the modified maximum likelihood method has much greater efficiency.

Date: 1981
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Journal of the Royal Statistical Society Series C is currently edited by R. Chandler and P. W. F. Smith

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