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/