Journal of Statistical Theory and Applications

Volume 14, Issue 3, September 2015, Pages 301 - 323

Conditional risk estimate for functional data under strong mixing conditions

Authors
Abbes Rabhi, Sara Soltani, Aboubacar Traore
Corresponding Author
Abbes Rabhi
Received 14 October 2014, Accepted 20 April 2015, Available Online 1 September 2015.
DOI
10.2991/jsta.2015.14.3.7How to use a DOI?
Keywords
Functional data; Kernel conditional hazard function; Kernel estimation; Probabilities of small balls; a-mixing.
Abstract

We consider the problem of nonparametric estimation of the conditional hazard function for functional mixing data. More precisely, given a strictly stationary random variables Zi = (Xi; Yi)i2N, we investigate a kernel estimate of the conditional hazard function of univariate response variable Yi given the functional variable Xi. The principal aim of this paper is to give the mean squared convergence rate and to prove the asymptotic normality of the proposed estimator.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
14 - 3
Pages
301 - 323
Publication Date
2015/09/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2015.14.3.7How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Abbes Rabhi
AU  - Sara Soltani
AU  - Aboubacar Traore
PY  - 2015
DA  - 2015/09/01
TI  - Conditional risk estimate for functional data under strong mixing conditions
JO  - Journal of Statistical Theory and Applications
SP  - 301
EP  - 323
VL  - 14
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2015.14.3.7
DO  - 10.2991/jsta.2015.14.3.7
ID  - Rabhi2015
ER  -