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Sequential Estimates of a Regression Function by Orthogonal Series with Applications in Discrimination

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The First Pannonian Symposium on Mathematical Statistics

Part of the book series: Lecture Notes in Statistics ((LNS,volume 8))

Abstract

Let (X,Y) be a pair of random variables. X takes values in a Borel set A, A⊂ Rp, whereas Y takes values in R. Let f be the marginal Leb. esgue density of X. Based on a sample (X1, Y1),…, (Xn, Yn) of independent observations of (X,Y) we wish to estimate the regression r of Y on X, i.e

$${\rm{r(x) = E[Y|X = x]}}{\rm{.}}$$

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Author information

Authors and Affiliations

  1. Technical University of Częstochowa, Poland

    Leszek Rutkowski

Authors
  1. Leszek Rutkowski
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© 1981 Springer-Verlag New York Inc.

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Rutkowski, L. (1981). Sequential Estimates of a Regression Function by Orthogonal Series with Applications in Discrimination. In: The First Pannonian Symposium on Mathematical Statistics. Lecture Notes in Statistics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5934-3_21

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  • DOI: https://doi.org/10.1007/978-1-4612-5934-3_21

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90583-9

  • Online ISBN: 978-1-4612-5934-3

  • eBook Packages: Springer Book Archive

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