Semiparametric segment M-estimation for locally stationary diffusions

被引:0
|
作者
Deleamont, P-Y [1 ]
La Vecchia, D. [1 ]
机构
[1] Univ Geneva, Res Ctr Stat, Blv Pont dArve 40, CH-1211 Geneva, Switzerland
基金
瑞士国家科学基金会;
关键词
Biological signal; Kernel estimation; Martingale estimating function; Polynomial diffusion; MAXIMUM-LIKELIHOOD-ESTIMATION; POLYNOMIAL DIFFUSIONS; TERM STRUCTURE; TIME-SERIES; MODELS;
D O I
10.1093/biomet/asz042
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We develop and implement a novel M-estimation method for locally stationary diffusions observed at discrete time-points. We give sufficient conditions for the local stationarity of general time-inhomogeneous diffusions. Then we focus on locally stationary diffusions with time-varying parameters, for which we define our M-estimators and derive their limit theory.
引用
收藏
页码:941 / 956
页数:16
相关论文
共 50 条
  • [31] M-ESTIMATION IN GARCH MODELS
    Mukherjee, Kanchan
    [J]. ECONOMETRIC THEORY, 2008, 24 (06) : 1530 - 1553
  • [32] M-ESTIMATION OF MULTIVARIATE REGRESSIONS
    KOENKER, R
    PORTNOY, S
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1990, 85 (412) : 1060 - 1068
  • [33] Model averaging for M-estimation
    Du, Jiang
    Zhang, Zhongzhan
    Xie, Tianfa
    [J]. STATISTICS, 2018, 52 (06) : 1417 - 1432
  • [34] M-Estimation with Imprecise Data
    Cattaneo, Marco E. G. V.
    [J]. PROCEEDINGS OF THE 9TH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS (ISIPTA '15), 2015, : 335 - 335
  • [35] ADAPTIVE M-ESTIMATION IN NONPARAMETRIC REGRESSION
    HALL, P
    JONES, MC
    [J]. ANNALS OF STATISTICS, 1990, 18 (04): : 1712 - 1728
  • [36] M-ESTIMATION FOR AUTOREGRESSIONS WITH INFINITE VARIANCE
    DAVIS, RA
    KNIGHT, K
    LIU, J
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1992, 40 (01) : 145 - 180
  • [37] M-estimation in Multistage Sampling Procedures
    Mallik, Atul
    Banerjee, Moulinath
    Michailidis, George
    [J]. SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY, 2020, 82 (02): : 261 - 309
  • [38] The Calculus of M-Estimation in R with geex
    Saul, Bradley C.
    Hudgens, Michael G.
    [J]. JOURNAL OF STATISTICAL SOFTWARE, 2020, 92 (02): : 1 - 15
  • [39] ROBUST MODEL SELECTION AND M-ESTIMATION
    MACHADO, JAF
    [J]. ECONOMETRIC THEORY, 1993, 9 (03) : 478 - 493
  • [40] M-estimation in Multistage Sampling Procedures
    Atul Mallik
    Moulinath Banerjee
    George Michailidis
    [J]. Sankhya A, 2020, 82 : 261 - 309