We build a kernel estimator of the Markovian transition operator as an endomorphism on L¹ for some discrete time continuous states Markov processes which satisfy certain additional regularity conditions. The main result deals with the asymptotic normality of the kernel estimator constructed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-7,
author = {Samir Benaissa and Abbes Rabhi and Belaid Mechab},
title = {Asymptotic normality of the kernel estimate for the Markovian transition operator},
journal = {Applicationes Mathematicae},
volume = {38},
year = {2011},
pages = {93-105},
zbl = {1213.62131},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-7}
}
Samir Benaissa; Abbes Rabhi; Belaid Mechab. Asymptotic normality of the kernel estimate for the Markovian transition operator. Applicationes Mathematicae, Tome 38 (2011) pp. 93-105. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-7/