Asymptotic normality of recursive estimators under strong mixing conditions
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DOI: 10.1007/s11203-013-9078-x
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References listed on IDEAS
- Aboubacar Amiri, 2012. "Recursive regression estimators with application to nonparametric prediction," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 24(1), pages 169-186.
- Roussas, George G., 1990. "Nonparametric regression estimation under mixing conditions," Stochastic Processes and their Applications, Elsevier, vol. 36(1), pages 107-116, October.
- Harro Walk, 2001. "Strong Universal Pointwise Consistency of Recursive Regression Estimates," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 691-707, December.
- Greblicki, Wlodzimierz & Pawlak, Miroslaw, 1987. "Necessary and sufficient consistency conditions for a recursive kernel regression estimate," Journal of Multivariate Analysis, Elsevier, vol. 23(1), pages 67-76, October.
- Li Wang & Han-Ying Liang, 2004. "Strong uniform convergence of the recursive regression estimator under φ-mixing conditions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 59(3), pages 245-261, June.
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More about this item
Keywords
Recursive kernel estimators; Regression function; Strong mixing processes; Asymptotic normality; 62G05; 62G07; 62G08;All these keywords.
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Statistics
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