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Estimation of densities of probability and regression surfaces in one or two dimensions

✍ Scribed by Christian Duhamel; Gérard Parlant

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
513 KB
Volume
32
Category
Article
ISSN
0010-4655

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✦ Synopsis

The FORTRAN programs presented make it possible to build curves and surfaces of densities for the Lebesgue-measure, when one has a sample ofn independent observations of a random variable in one or two dimensions and when this number n can be high (many thousands). The method uses kernel-estimators with varying window-parameters estimated via a modified maximum likelihood procedure. In the case of a three-dimensional variable, it is possible to estimate the function: (x, y) -. E( Z/X = x, Y = y) of conditional expectation. Studies based on simulations as well as on real data are presented.

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