Asymptotics for function derivatives estimators based on stationary and ergodic discrete time processes
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DOI: 10.1007/s10463-021-00814-2
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- Wu, Wei Biao & Huang, Yinxiao & Huang, Yibi, 2010. "Kernel estimation for time series: An asymptotic theory," Stochastic Processes and their Applications, Elsevier, vol. 120(12), pages 2412-2431, December.
- Karunamuni, R. J. & Mehra, K. L., 1990. "Improvements on strong uniform consistency of some known kernel estimates of a density and its derivatives," Statistics & Probability Letters, Elsevier, vol. 9(2), pages 133-140, February.
- Henderson, Daniel J. & Parmeter, Christopher F., 2012.
"Canonical higher-order kernels for density derivative estimation,"
Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1383-1387.
- Daniel J. Henderson & Christopher F. Parmeter, 2010. "Canonical Higher-Order Kernels for Density Derivative Estimation," Working Papers 2011-14, University of Miami, Department of Economics.
- Jeffrey S. Racine, 2016.
"Local Polynomial Derivative Estimation: Analytic or Taylor?,"
Advances in Econometrics, in: Essays in Honor of Aman Ullah, volume 36, pages 617-633,
Emerald Group Publishing Limited.
- Jeffrey S. Racine, 2015. "Local Polynomial Derivative Estimation: Analytic or Taylor?," Department of Economics Working Papers 2015-02, McMaster University.
- Salim Bouzebda & Sultana Didi, 2017. "Multivariate wavelet density and regression estimators for stationary and ergodic discrete time processes: Asymptotic results," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(3), pages 1367-1406, February.
- Abdous, Belkacem & Germain, Stéphane & Ghazzali, Nadia, 2002. "A unified treatment of direct and indirect estimation of a probability density and its derivatives," Statistics & Probability Letters, Elsevier, vol. 56(3), pages 239-250, February.
- Henderson, Daniel J. & Parmeter, Christopher F., 2012.
"Normal reference bandwidths for the general order, multivariate kernel density derivative estimator,"
Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2198-2205.
- Daniel J. Henderson & Christopher F. Parmeter, 2011. "Normal Reference Bandwidths for the General Order, Multivariate Kernel Density Derivative Estimator," Working Papers 2011-15, University of Miami, Department of Economics.
- Tiee-Jian Wu & Chih-Yuan Hsu & Huang-Yu Chen & Hui-Chun Yu, 2014. "Root $$n$$ n estimates of vectors of integrated density partial derivative functionals," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(5), pages 865-895, October.
- Anne Leucht & Michael Neumann, 2013. "Degenerate $$U$$ - and $$V$$ -statistics under ergodicity: asymptotics, bootstrap and applications in statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(2), pages 349-386, April.
- Herrmann, Eva & Ziegler, Klaus, 2004. "Rates of consistency for nonparametric estimation of the mode in absence of smoothness assumptions," Statistics & Probability Letters, Elsevier, vol. 68(4), pages 359-368, July.
- Salim Bouzebda & Sultana Didi, 2017. "Additive regression model for stationary and ergodic continuous time processes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(5), pages 2454-2493, March.
- Paul Deheuvels & David Mason, 2004. "General Asymptotic Confidence Bands Based on Kernel-type Function Estimators," Statistical Inference for Stochastic Processes, Springer, vol. 7(3), pages 225-277, October.
- Park, Cheolwoo & Kang, Kee-Hoon, 2008. "SiZer analysis for the comparison of regression curves," Computational Statistics & Data Analysis, Elsevier, vol. 52(8), pages 3954-3970, April.
- Singh, R. S., 1976. "Nonparametric estimation of mixed partial derivatives of a multivariate density," Journal of Multivariate Analysis, Elsevier, vol. 6(1), pages 111-122, March.
- Rice, John A., 1986. "Bandwidth choice for differentiation," Journal of Multivariate Analysis, Elsevier, vol. 19(2), pages 251-264, August.
- D. Blanke & B. Pumo, 2003. "Optimal sampling for density estimation in continuous time," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(1), pages 1-23, January.
- Hardle, W. & Marron, J.S. & Wand, Mp., 1990. "Bandwith choice for density derivatives," LIDAM Reprints CORE 945, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Henderson, Daniel J. & Li, Qi & Parmeter, Christopher F. & Yao, Shuang, 2015.
"Gradient-based smoothing parameter selection for nonparametric regression estimation,"
Journal of Econometrics, Elsevier, vol. 184(2), pages 233-241.
- Daniel J. Henderson & Qi Li & Christopher F. Parmeter, 2013. "Gradient Based Smoothing Parameter Selection for Nonparametric Regression Estimation," Working Papers 2014-01, University of Miami, Department of Economics.
- Chaouch, Mohamed & Laïb, Naâmane, 2019. "Optimal asymptotic MSE of kernel regression estimate for continuous time processes with missing at random response," Statistics & Probability Letters, Elsevier, vol. 154(C), pages 1-1.
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Keywords
Nonparametric estimation; Density estimation; Regression estimation; Kernel estimation; Function derivative; Ergodic discrete time processes; Martingale differences;All these keywords.
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