Asymptotic normality of the kernel estimate for the Markovian transition operator
Samir Benaissa ; Abbes Rabhi ; Belaid Mechab
Applicationes Mathematicae, Tome 38 (2011), p. 93-105 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:279965
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     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}
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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/