Abstract
This paper investigates a conditional cumulative distribution of a scalar response given by a functional random variable with an \(\alpha \)-mixing stationary sample using a local polynomial technique. The main purpose of this study is to establish asymptotic normality results under selected mixing conditions satisfied by many time-series analysis models in addition to the other appropriate conditions to confirm the planned prospects.
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The authors would like to thank the Editor, the Associate Editor, and the two anonymous reviewers for their valuable comments and suggestions which improved substantially the quality of an earlier version of this paper.
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Bouanani, O., Rahmani, S. & Ait-Hennani, L. Local linear conditional cumulative distribution function with mixing data. Arab. J. Math. 9, 289–307 (2020). https://doi.org/10.1007/s40065-019-0247-7
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DOI: https://doi.org/10.1007/s40065-019-0247-7