Asymptotic behaviour of the quadratic measure of deviation of multivariate density estimates

José Rafael Leon R.

Annales de l'I.H.P. Probabilités et statistiques (1983)

  • Volume: 19, Issue: 3, page 297-309
  • ISSN: 0246-0203

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Leon R., José Rafael. "Asymptotic behaviour of the quadratic measure of deviation of multivariate density estimates." Annales de l'I.H.P. Probabilités et statistiques 19.3 (1983): 297-309. <http://eudml.org/doc/77215>.

@article{LeonR1983,
author = {Leon R., José Rafael},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {quadratic measure of deviation; contiguous alternatives; goodness of fit tests; Fourier series; empirical distribution; Gaussian asymptotic distribution},
language = {eng},
number = {3},
pages = {297-309},
publisher = {Gauthier-Villars},
title = {Asymptotic behaviour of the quadratic measure of deviation of multivariate density estimates},
url = {http://eudml.org/doc/77215},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Leon R., José Rafael
TI - Asymptotic behaviour of the quadratic measure of deviation of multivariate density estimates
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 3
SP - 297
EP - 309
LA - eng
KW - quadratic measure of deviation; contiguous alternatives; goodness of fit tests; Fourier series; empirical distribution; Gaussian asymptotic distribution
UR - http://eudml.org/doc/77215
ER -

References

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  1. [1] P.J. Bickel and M. Rosenblatt, On some measures of the deviations of density functions estimates. The Ann. of Statistics, t. 1, n° 6, 1973, p. 1071-1095. Zbl0275.62033MR348906
  2. [2] N.N. Cencov, Evaluations of an unknown distribution density from observations. Soviet Math., t. 3, 1962, p. 1559-1562. Zbl0133.11801
  3. [3] R. Courant and D. Hilbert, Methods of Mathematical Physics, t. 1, New York, 1953. Zbl0051.28802
  4. [4] E. Giné, J. León, On the central limit theorem in Hilbert Spaces. Stochastica, t. IV, n° 1, 1980, p. 43-71. Zbl0432.60011MR573725
  5. [5] U. Grenander, Szegö. Toeplitz forms and their application. University of California Press. Berkeley. 1958. Zbl0080.09501MR94840
  6. [6] E. Isaccson, H. Keller, « Analysis of Numerical Methods » John Wiley and Sons. Inc. New York, 1966. Zbl0168.13101MR201039
  7. [7] Kuelbs, Kurtz, Bery Essen estimates in Hilbert Space and an application to the LIL. Ann. Probability, t. 2, 1974, p. 387-407. Zbl0298.60017MR362427
  8. [8] E.A. Naradaya, On a quadratic measure of deviation of the estimate of a distribution density. Theo. Prob. and its App., n° 4, 1976, p. 844-850. Zbl0385.62020
  9. [9] A. Zygmund, Trygonometric series, 2nd Ed. Cambridge University Press. New York, 1959. Zbl0085.05601MR107776

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