On the density of some Wiener functionals: an application of Malliavin calculus.

Antoni Sintes Blanc

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2B, page 981-987
  • ISSN: 0214-1493

Abstract

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Using a representation as an infinite linear combination of chi-square independent random variables, it is shown that some Wiener functionals, appearing in empirical characteristic process asymptotic theory, have densities which are tempered in the properly infinite case and exponentially decaying in the finite case.

How to cite

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Sintes Blanc, Antoni. "On the density of some Wiener functionals: an application of Malliavin calculus.." Publicacions Matemàtiques 36.2B (1992): 981-987. <http://eudml.org/doc/41763>.

@article{SintesBlanc1992,
abstract = {Using a representation as an infinite linear combination of chi-square independent random variables, it is shown that some Wiener functionals, appearing in empirical characteristic process asymptotic theory, have densities which are tempered in the properly infinite case and exponentially decaying in the finite case.},
author = {Sintes Blanc, Antoni},
journal = {Publicacions Matemàtiques},
keywords = {multiple Itô-Wiener integrals; Fourier transform; Malliavin derivative; tempered distributions},
language = {eng},
number = {2B},
pages = {981-987},
title = {On the density of some Wiener functionals: an application of Malliavin calculus.},
url = {http://eudml.org/doc/41763},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Sintes Blanc, Antoni
TI - On the density of some Wiener functionals: an application of Malliavin calculus.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 981
EP - 987
AB - Using a representation as an infinite linear combination of chi-square independent random variables, it is shown that some Wiener functionals, appearing in empirical characteristic process asymptotic theory, have densities which are tempered in the properly infinite case and exponentially decaying in the finite case.
LA - eng
KW - multiple Itô-Wiener integrals; Fourier transform; Malliavin derivative; tempered distributions
UR - http://eudml.org/doc/41763
ER -

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