A kernel estimator of the squared -norm of the intensity function of a Poisson random field is defined. It is proved that the estimator is asymptotically unbiased and strongly consistent. The problem of estimating the squared -norm of a function disturbed by a Wiener random field is also considered.
@article{bwmeta1.element.bwnjournal-article-zmv23i3p279bwm,
author = {Roman R\'o\.za\'nski},
title = {On a strongly consistent estimator of the squared L\_2-norm of a function},
journal = {Applicationes Mathematicae},
volume = {23},
year = {1995},
pages = {279-284},
zbl = {0836.62073},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv23i3p279bwm}
}
Różański, Roman. On a strongly consistent estimator of the squared L_2-norm of a function. Applicationes Mathematicae, Tome 23 (1995) pp. 279-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv23i3p279bwm/
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