Specification for lattice processes

作者: Javier Hidalgo , Myung Hwan Seo

DOI:

关键词:

摘要: We consider an omnibus test for the correct speci…cation of dynamics a sequence fx (t)gt2Zd in lattice. As it happens with causal models and d = 1, its asymptotic distribution is not pivotal depends on estimator unknown parameters model under null hypothesis. One our main goals paper to provide transformation obtain that free nuisance parameters. Secondly, we propose bootstrap analogue show validity. Third, discuss results when are errors parametric regression model. by product, also normality least squares estimators very mild conditions. Finally, present small Monte Carlo experiment shed some light …nite sample behaviour test.

参考文章(25)
J. Durbin, M. Knott, Components of Cramér-Von Mises Statistics. I Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 34, pp. 290- 307 ,(1972) , 10.1111/J.2517-6161.1972.TB00908.X
A. Alexandre Trindade, Richard A. Davis, F. Jay Breidt, Least absolute deviation estimation for all-pass time series models Annals of Statistics. ,vol. 29, pp. 919- 946 ,(2001) , 10.1214/AOS/1013699987
E. Bolthausen, On the Central Limit Theorem for Stationary Mixing Random Fields Annals of Probability. ,vol. 10, pp. 1047- 1050 ,(1982) , 10.1214/AOP/1176993726
Raffaella Giacomini, Dimitris N. Politis, Halbert White, A WARP-SPEED METHOD FOR CONDUCTING MONTE CARLO EXPERIMENTS INVOLVING BOOTSTRAP ESTIMATORS Econometric Theory. ,vol. 29, pp. 567- 589 ,(2013) , 10.1017/S0266466612000655
Nazgul Jenish, Ingmar R. Prucha, Central Limit Theorems and Uniform Laws of Large Numbers for Arrays of Random Fields. Journal of Econometrics. ,vol. 150, pp. 86- 98 ,(2009) , 10.1016/J.JECONOM.2009.02.009
Winfried Stute, Nonparametric model checks for regression Annals of Statistics. ,vol. 25, pp. 613- 641 ,(1997) , 10.1214/AOS/1031833666
Ian W. McKeague, A. M. Nikabadze, Yanqing Sun, An Omnibus Test for Independence of a Survival Time from a Covariate Annals of Statistics. ,vol. 23, pp. 450- 475 ,(1995) , 10.1214/AOS/1176324530
George E.P. Box, D. A. Pierce, Distribution of Residual Autocorrelations in Autoregressive-Integrated Moving Average Time Series Models Journal of the American Statistical Association. ,vol. 65, pp. 1509- 1526 ,(1970) , 10.2307/2284333
Ian W. McKeague, Yanqing Sun, Transformations of Gaussian random fields to Brownian sheet and nonparametric change-point tests Statistics & Probability Letters. ,vol. 28, pp. 311- 319 ,(1996) , 10.1016/0167-7152(95)00140-9