Asymptotic normality of conditional mode estimation for functional dependent data

Oussama Bouanani (), Saâdia Rahmani (), Ali Laksaci () and Mustapha Rachdi ()
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Oussama Bouanani: Université Dr Tahar Moulay
Saâdia Rahmani: Université Dr Tahar Moulay
Ali Laksaci: King Khalid University
Mustapha Rachdi: Univ. Grenoble Alpes, CNRS, Grenoble INP, TIMA, UFR SHS

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 2, 465-481

Abstract: Abstract Based on the local polynomial smoother idea, we construct a local linear estimator of the conditional mode for dependent functional covariables. Precisely, observations are assumed to be a sequence of stationary α-mixing random variables. Then, we establish the asymptotic normality of the constructed estimator.

Keywords: Functional data analysis; local linear method; kernel method; conditional mode; asymptotic normality; 62G05; 62G08; 62G20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0411-y

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