Moderate Deviations for Linear Processes Generated by Martingale-Like Random Variables
Author
Abstract
Suggested Citation
DOI: 10.1007/s10959-009-0218-6
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Qiying Wang & Yan-Xia Lin & Chandra M. Gulati, 2003. "Strong Approximation for Long Memory Processes with Applications," Journal of Theoretical Probability, Springer, vol. 16(2), pages 377-389, April.
- Dong, Zhi-shan & Xi-li, Tan & Yang, Xiao-yun, 2005. "Moderate deviation principles for moving average processes of real stationary sequences," Statistics & Probability Letters, Elsevier, vol. 74(2), pages 139-150, September.
- Biao Wu, Wei & Min, Wanli, 2005. "On linear processes with dependent innovations," Stochastic Processes and their Applications, Elsevier, vol. 115(6), pages 939-958, June.
- Robinson, Peter M., 1997. "Large-sample inference for nonparametric regression with dependent errors," LSE Research Online Documents on Economics 302, London School of Economics and Political Science, LSE Library.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Deng Zhang, 2017. "Tridiagonal Random Matrix: Gaussian Fluctuations and Deviations," Journal of Theoretical Probability, Springer, vol. 30(3), pages 1076-1103, September.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Shao, Xiaofeng, 2011. "A bootstrap-assisted spectral test of white noise under unknown dependence," Journal of Econometrics, Elsevier, vol. 162(2), pages 213-224, June.
- Hidalgo, Javier, 2007. "Specification testing for regression models with dependent data," LSE Research Online Documents on Economics 6799, London School of Economics and Political Science, LSE Library.
- Adam McCloskey, 2013.
"Estimation of the long-memory stochastic volatility model parameters that is robust to level shifts and deterministic trends,"
Journal of Time Series Analysis, Wiley Blackwell, vol. 34(3), pages 285-301, May.
- Adam McCloskey, 2012. "Estimation of the Long-Memory Stochastic Volatility Model Parameters that is Robust to Level Shifts and Deterministic Trends," Working Papers 2012-17, Brown University, Department of Economics.
- Mccloskey, Adam & Perron, Pierre, 2013.
"Memory Parameter Estimation In The Presence Of Level Shifts And Deterministic Trends,"
Econometric Theory, Cambridge University Press, vol. 29(6), pages 1196-1237, December.
- Pierre Perron & Adam McCloskey, 2010. "Memory Parameter Estimation in the Presence of Level Shifts and Deterministic Trends," Boston University - Department of Economics - Working Papers Series WP2010-048, Boston University - Department of Economics.
- Adam McCloskey & Pierre Perron, 2012. "Memory Parameter Estimation in the Presence of Level Shifts and Deterministic Trends," Working Papers 2012-15, Brown University, Department of Economics.
- Youndjé, É. & Vieu, P., 2006. "A note on quantile estimation for long-range dependent stochastic processes," Statistics & Probability Letters, Elsevier, vol. 76(2), pages 109-116, January.
- Zhao, Zhibiao & Wu, Wei Biao, 2007. "Asymptotic theory for curve-crossing analysis," Stochastic Processes and their Applications, Elsevier, vol. 117(7), pages 862-877, July.
- Robinson, Peter M., 2004. "Robust covariance matrix estimation : HAC estimates with long memory/antipersistence correction," LSE Research Online Documents on Economics 2157, London School of Economics and Political Science, LSE Library.
- Toshio Honda, 2013.
"Nonparametric quantile regression with heavy-tailed and strongly dependent errors,"
Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(1), pages 23-47, February.
- Toshio Honda, 2010. "Nonparametric Quantile Regression with Heavy-Tailed and Strongly Dependent Errors," Global COE Hi-Stat Discussion Paper Series gd10-157, Institute of Economic Research, Hitotsubashi University.
- Qiying Wang & Peter C. B. Phillips, 2022.
"A General Limit Theory for Nonlinear Functionals of Nonstationary Time Series,"
Cowles Foundation Discussion Papers
2337, Cowles Foundation for Research in Economics, Yale University.
- Qiying Wang & Peter C. B. Phillips, 2024. "A General Limit Theory for Nonlinear Functionals of Nonstationary Time Series," Cowles Foundation Discussion Papers 2337R1, Cowles Foundation for Research in Economics, Yale University.
- Dalla, Violetta & Giraitis, Liudas & Robinson, Peter M., 2020. "Asymptotic theory for time series with changing mean and variance," Journal of Econometrics, Elsevier, vol. 219(2), pages 281-313.
- Hassler, U. & Marmol, F. & Velasco, C., 2006.
"Residual log-periodogram inference for long-run relationships,"
Journal of Econometrics, Elsevier, vol. 130(1), pages 165-207, January.
- Hassler, Uwe & Marmol, Francesc & Velasco, Carlos, 2002. "Residual Log-Periodogram Inference for Long-Run-Relationships," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 37317, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
- Hassler, Uwe & Marmol, Francesc & Velasco, Carlos, 2009. "Residual Log-Periodogram Inference for Long-Run-Relationships," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 77562, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
- Hassler, Uwe & Marmol, Francesc & Velasco, Carlos, 2002. "Residual Log-Periodogram Inference for Long-Run Relationships," Darmstadt Discussion Papers in Economics 115, Darmstadt University of Technology, Department of Law and Economics.
- Hassler, Uwe & Marmol, Francesc & Velasco, Carlos, 2002. "Residual log-periodogram inference for long-run relationships," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 18289, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
- Morten Ø. Nielsen & Per Houmann Frederiksen, 2008. "Fully Modified Narrow-band Least Squares Estimation Of Stationary Fractional Cointegration," Working Paper 1171, Economics Department, Queen's University.
- Lihong Wang, 2020. "Lack of fit test for long memory regression models," Statistical Papers, Springer, vol. 61(3), pages 1043-1067, June.
- Stefan Richter & Weining Wang & Wei Biao Wu, 2018.
"A supreme test for periodic explosive GARCH,"
Papers
1812.03475, arXiv.org.
- Richter, Stefan & Wang, Weining & Wu, Wei Biao, 2020. "A supreme test for periodic explosive GARCH," IRTG 1792 Discussion Papers 2020-018, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
- Boubaker, Heni & Sghaier, Nadia, 2015. "Semiparametric generalized long-memory modeling of some mena stock market returns: A wavelet approach," Economic Modelling, Elsevier, vol. 50(C), pages 254-265.
- Wu, Wei Biao, 2009. "An asymptotic theory for sample covariances of Bernoulli shifts," Stochastic Processes and their Applications, Elsevier, vol. 119(2), pages 453-467, February.
- Christensen, Bent Jesper & Varneskov, Rasmus Tangsgaard, 2017.
"Medium band least squares estimation of fractional cointegration in the presence of low-frequency contamination,"
Journal of Econometrics, Elsevier, vol. 197(2), pages 218-244.
- Bent Jesper Christensen & Rasmus T. Varneskov, 2015. "Medium Band Least Squares Estimation of Fractional Cointegration in the Presence of Low-Frequency Contamination," CREATES Research Papers 2015-25, Department of Economics and Business Economics, Aarhus University.
- Berkes, István & Hörmann, Siegfried & Schauer, Johannes, 2009. "Asymptotic results for the empirical process of stationary sequences," Stochastic Processes and their Applications, Elsevier, vol. 119(4), pages 1298-1324, April.
- Robinson, Peter M., 2012. "Nonparametric trending regression with cross-sectional dependence," Journal of Econometrics, Elsevier, vol. 169(1), pages 4-14.
- Fan, Jianqing & Fan, Yingying & Jiang, Jiancheng, 2007. "Dynamic Integration of Time- and State-Domain Methods for Volatility Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 618-631, June.
More about this item
Keywords
Moderate deviation; Functional moderate deviation principle; Linear processes; Martingale; Projection operator;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jotpro:v:23:y:2010:i:1:d:10.1007_s10959-009-0218-6. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.