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Nonparametric estimation equations for time series data

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  • Cai, Zongwu

Abstract

In this article, the nonparametric version of estimation equations is investigated, which unifies various statistical methodologies, for both nonlinear discrete and continuous time series data. The weak consistency and asymptotic normality of the resulting estimators are established. Under this general framework, a nonparametric regression estimator can be obtained easily and the asymptotic theory can be derived without going through case-by-case.

Suggested Citation

  • Cai, Zongwu, 2003. "Nonparametric estimation equations for time series data," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 379-390, May.
    • Handle: RePEc:eee:stapro:v:62:y:2003:i:4:p:379-390
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    References listed on IDEAS

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    5. Roussas, George G., 1990. "Nonparametric regression estimation under mixing conditions," Stochastic Processes and their Applications, Elsevier, vol. 36(1), pages 107-116, October.
    6. Cai, Zongwu & Fan, Jianqing & Yao, Qiwei, 2000. "Functional-coefficient regression models for nonlinear time series," LSE Research Online Documents on Economics 6314, London School of Economics and Political Science, LSE Library.
    7. Wolfgang Härdle & Philippe Vieu, 1992. "Kernel Regression Smoothing Of Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 13(3), pages 209-232, May.
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    9. Zongwu Cai & Qiwei Yao & Wenyang Zhang, 2001. "Smoothing for discrete‐valued time series," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 357-375.
    10. Masry, Elias, 1996. "Multivariate regression estimation local polynomial fitting for time series," Stochastic Processes and their Applications, Elsevier, vol. 65(1), pages 81-101, December.
    11. Truong, Young K., 1992. "Robust nonparametric regression in time series," Journal of Multivariate Analysis, Elsevier, vol. 41(2), pages 163-177, May.
    12. Masry, Elias & Tjøstheim, Dag, 1995. "Nonparametric Estimation and Identification of Nonlinear ARCH Time Series Strong Convergence and Asymptotic Normality: Strong Convergence and Asymptotic Normality," Econometric Theory, Cambridge University Press, vol. 11(2), pages 258-289, February.
    13. P. M. Robinson, 1983. "Nonparametric Estimators For Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 4(3), pages 185-207, May.
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    Cited by:

    1. Daouia, Abdelaati & Girard, Stéphane & Stupfler, Gilles, 2017. "Extreme M-quantiles as risk measures: From L1 to Lp optimization," TSE Working Papers 17-841, Toulouse School of Economics (TSE).
    2. repec:wyi:journl:002108 is not listed on IDEAS
    3. Cai, Zongwu & Li, Qi, 2008. "Nonparametric Estimation Of Varying Coefficient Dynamic Panel Data Models," Econometric Theory, Cambridge University Press, vol. 24(5), pages 1321-1342, October.
    4. Francesco Bravo, 2016. "Local Information Theoretic Methods for smooth Coefficients Dynamic Panel Data Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(5), pages 690-708, September.
    5. Cai, Zongwu & Ould-Saïd, Elias, 2003. "Local M-estimator for nonparametric time series," Statistics & Probability Letters, Elsevier, vol. 65(4), pages 433-449, December.
    6. Zongwu Cai & Yongmiao Hong, 2013. "Some Recent Developments in Nonparametric Finance," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    7. Bravo, Francesco, 2023. "Local polynomial estimation of nonparametric general estimating equations," Statistics & Probability Letters, Elsevier, vol. 197(C).
    8. Rongning Wu & Yunwei Cui, 2014. "A Parameter-Driven Logit Regression Model For Binary Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 35(5), pages 462-477, August.

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