Bandwidth selection and asymptotic properties of local nonparametric estimators in possibly nonstationary continuous-time models

被引:27
|
作者
Ait-Sahalia, Yacine [1 ,2 ]
Park, Joon Y. [3 ,4 ]
机构
[1] Princeton Univ, Dept Econ, Princeton, NJ 08544 USA
[2] NBER, Cambridge, MA 02138 USA
[3] Indiana Univ, Dept Econ, Bloomington, IN 47405 USA
[4] Sungkyunkwan Univ, Seoul, South Korea
关键词
Kernel estimators; Locally linear estimators; Diffusions; Local time; Nonstationarity; DIFFUSION-COEFFICIENT;
D O I
10.1016/j.jeconom.2015.11.002
中图分类号
F [经济];
学科分类号
02 ;
摘要
We derive the asymptotic properties of nonparametric estimators of the drift and diffusion functions, and the local time, of a discretely sampled diffusion process that is possibly nonstationary. We provide complete two-dimensional asymptotics in both the time span and the sampling interval, allowing for a precise characterization of their distribution, as well as the determination of optimal bandwidths for these estimators. (C) 2016 Published by Elsevier B.V.
引用
收藏
页码:119 / 138
页数:20
相关论文
共 50 条
  • [41] Asymptotic properties of quasi-maximum likelihood estimators in observation-driven time series models
    Douc, Randal
    Fokianos, Konstantinos
    Moulines, Eric
    ELECTRONIC JOURNAL OF STATISTICS, 2017, 11 (02): : 2707 - 2740
  • [42] Asymptotic properties of quasi-maximum likelihood estimators for ARMA models with time-dependent coefficients
    Azrak R.
    Mélard G.
    Statistical Inference for Stochastic Processes, 2006, 9 (3) : 279 - 330
  • [43] The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models
    Carolin Grumbach
    Femke N. Reurik
    Juan Segura
    Daniel Franco
    Frank M. Hilker
    Journal of Mathematical Biology, 2023, 87
  • [44] The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models
    Grumbach, Carolin
    Reurik, Femke N.
    Segura, Juan
    Franco, Daniel
    Hilker, Frank M.
    JOURNAL OF MATHEMATICAL BIOLOGY, 2023, 87 (04)
  • [45] Bayesian Continuous-Time Hidden Markov Models With Covariate Selection for Intensive Longitudinal Data With Measurement Error
    Liang, Mingrui
    Koslovsky, Matthew D.
    Hebert, Emily T.
    Kendzor, Darla E.
    Businelle, Michael S.
    Vannucci, Marina
    PSYCHOLOGICAL METHODS, 2023, 28 (04) : 880 - 894
  • [46] Further study on local analysis of continuous-time T-S fuzzy models with bounded disturbances
    Hu, Guolin
    Liu, Xiaodong
    Wang, Likui
    Li, Hongxing
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (03): : 403 - 410
  • [47] On Local Non-quadratic Guaranteed Cost Control for Continuous-time Takagi-Sugeno Models
    Pan Juntao
    Xin Yunbing
    Guerra, Thierry Marie
    Fei Shumin
    Jaadari, Abdelhafidh
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 3505 - 3510
  • [48] Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
    Weber, Manuel
    Assaad, Fakher F.
    Hohenadler, Martin
    PHYSICAL REVIEW B, 2016, 94 (24)
  • [49] Local Non-Quadratic H-Infinity Control For Continuous-Time Takagi-Sugeno Models
    Bernal, Miguel
    Soto-Cota, Adolfo
    Cortez, Joaqun
    Luis Pitarch, Jose
    IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ 2011), 2011, : 1615 - 1620
  • [50] On Non-quadratic Local Static Output Feedback Controller for Continuous-time Takagi-Sugeno models
    Pan Juntao
    Fei Shumin
    Guerra, Thierry Marie
    Xue Mingxiang
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2964 - 2969