Asymptotic normality of the kernel estimate for the Markovian transition operator

Samir Benaissa; Abbes Rabhi; Belaid Mechab

Applicationes Mathematicae (2011)

  • Volume: 38, Issue: 1, page 93-105
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Samir Benaissa, Abbes Rabhi, and Belaid Mechab. "Asymptotic normality of the kernel estimate for the Markovian transition operator." Applicationes Mathematicae 38.1 (2011): 93-105. <http://eudml.org/doc/279965>.

@article{SamirBenaissa2011,
abstract = {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.},
author = {Samir Benaissa, Abbes Rabhi, Belaid Mechab},
journal = {Applicationes Mathematicae},
keywords = {Markov processes},
language = {eng},
number = {1},
pages = {93-105},
title = {Asymptotic normality of the kernel estimate for the Markovian transition operator},
url = {http://eudml.org/doc/279965},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Samir Benaissa
AU - Abbes Rabhi
AU - Belaid Mechab
TI - Asymptotic normality of the kernel estimate for the Markovian transition operator
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 1
SP - 93
EP - 105
AB - 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.
LA - eng
KW - Markov processes
UR - http://eudml.org/doc/279965
ER -

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