Asymptotic Properties of the Estimator of the Conditional Distribution for Associated Functional Data

Hamri Mohamed Mehdi (), Dib Abdassamad () and Rabhi Abbes ()
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Hamri Mohamed Mehdi: LABRI, ESI, Sidi Bel Abbes, University Djillali LIABES of Sidi Bel Abbes, Algeria
Dib Abdassamad: University Djillali LIABES of Sidi Bel Abbes, Algeria Laboratory of Mathematics
Rabhi Abbes: University Djillali LIABES of Sidi Bel Abbes, Algeria

Econometrics. Advances in Applied Data Analysis, 2022, vol. 26, issue 3, 21-34

Abstract: The purpose of the paper was to investigate by the kernel method a nonparametric estimate of the conditional density function of a scalar response variable given a random variable taking values in a separable real Hilbert space when the observations are quasi-associated dependent. Under some general conditions, the authors established the pointwise almost complete consistencies with rates of this estimator. The principal aim is the investigate the convergence rate of the proposed estimator.

Keywords: nonparametric estimation; small ball probability; quasi-associated data (search for similar items in EconPapers)
JEL-codes: C13 C14 C15 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:eaiada:v:26:y:2022:i:3:p:21-34:n:3

DOI: 10.15611/eada.2022.3.02

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