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Moment Estimators and Maximum Likelihood

Biometrika, 1958
where J'q2(x) P(x; 0) dx = Or, J'q(x) qq(x) P(x; 0) dx = 0 (r+ s). (2) To avoid undue complication at this stage we assume P(x; 0) is continuous throughout its range. We reconsider the restrictions on P in a subsequent section.
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he Unimprovability of Moment Estimates

Theory of Probability & Its Applications, 2003
Summary: Let \(\eta\) be a nonnegative random variable. \textit{A. M. Zubkov} [Obozr. Prikl. Prom. Mat. 1, 638--666 (1994; Zbl 0836.60014)] obtained upper and lower estimates for \({\mathbf P}\{\eta>0\}\) in the form of a ratio of determinants formed by moments of \(\eta\).
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The Bias and Accuracy of Moment Estimators

Biometrika, 1970
SUMMARY A new method for finding the biases and covariances of moment estimators to order n-2 is outlined and compared with existing solutions. It is thought that the new approach is likely to be particularly useful for cases where moment estimation is complicated.
Robertson, C. A., Fryer, J. G.
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Moments estimation in Radon space

Pattern Recognition Letters, 1994
Summary: We show a method of obtaining general and orthogonal moments, specifically Legendre and Zernike moments, from the Radon Transform data of a two-dimensional function. The regular or geometric moments are first evaluated directly from the projection data and the orthogonal moments are derived from these regular moments.
Hiriyannaiah, Harish P, Ramakrishnan, KR
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A method of spectral moment estimation

IEEE Transactions on Geoscience and Remote Sensing, 1999
The paper presents a new method that enables the authors to construct direct routines to estimate spectral moments of any orders. Accuracy analysis confirms high efficiency of the estimates. The feasibility of the method is tested for signal fading data acquired during observations of ionosphere multipath propagation.
Andrei A. Monakov   +1 more
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Corrected-Moment Illuminant Estimation

2013 IEEE International Conference on Computer Vision, 2013
Image colors are biased by the color of the prevailing illumination. As such the color at pixel cannot always be used directly in solving vision tasks from recognition, to tracking to general scene understanding. Illuminant estimation algorithms attempt to infer the color of the light incident in a scene and then a color cast removal step discounts the
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Estimating sexual dimorphism by method-of-moments

American Journal of Physical Anthropology, 1996
Estimating the degree of sexual dimorphism is difficult in fossil species because most specimens lack indicators of sex. We present a procedure that estimates sexual dimorphism in samples of unknown sex using method-of-moments. We assume that the distribution of a metric trait is composed of two underlying normal distributions, one for males and one ...
S C, Josephson, K E, Juell, A R, Rogers
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Generalized Method of Moments Estimation

2008
Generalized method of moments (GMM) refers to a class of estimators constructed from the sample moment counterparts of population moment conditions (sometimes known as orthogonality conditions) of the data generating model. GMM estimators have become widely used, for the following reasons: 1.
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The estimation of moments: A technical note

Journal of Pharmacokinetics and Biopharmaceutics, 1989
The calculation of several common pharmacokinetic parameters requires estimates of both the area under the curve of the concentration of the drug in a sampled fluid vs. time, and also the first moment about t = 0 of this area. It is proposed that the methods used to estimate these quantities should make consistent assumptions about the concentration of
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A moment inequality for L estimation

Statistics & Probability Letters, 1991
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