111
Views
65
CrossRef citations to date
0
Altmetric
Original Articles

Robustness of whittle-type estimators for time series with long-range dependence

&
Pages 723-757 | Received 25 Oct 1996, Accepted 09 May 1997, Published online: 21 Mar 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Li Song & Pascal Bondon. (2013) Structural changes estimation for strongly dependent processes. Journal of Statistical Computation and Simulation 83:10, pages 1783-1806.
Read now
Li Song & Pascal Bondon. (2012) Piecewise FARIMA models for long-memory time series. Journal of Statistical Computation and Simulation 82:9, pages 1367-1382.
Read now
Aktham I. Maghyereh. (2007) Testing for long-range dependence in stock market returns: a further evidence from MENA emerging stock markets. Applied Financial Economics Letters 3:6, pages 365-371.
Read now

Articles from other publishers (62)

Samir Ben Hariz, Alexandre Brouste, Youssef Esstafa & Marius Soltane. (2023) Fast calibration of weak Farima models. ESAIM: Probability and Statistics 27, pages 156-173.
Crossref
Yunpeng Gao, Jun Xia, Xingwei Chen, Lei Zou, Jie Huang & Jiarui Yu. (2022) Analysis of the nonstationarity characteristics and future trends of flood extremes in the Dongting Lake Basin. Journal of Hydrology: Regional Studies 44, pages 101217.
Crossref
Chengpeng Lu, Ziyi Song, Wanjie Wang, Yong Zhang, Haiyang Si, Bo Liu & Longcang Shu. (2021) Spatiotemporal variation and long-range correlation of groundwater depth in the Northeast China Plain and North China Plain from 2000∼2019. Journal of Hydrology: Regional Studies 37, pages 100888.
Crossref
Yacouba Boubacar Maïnassara, Youssef Esstafa & Bruno Saussereau. (2021) Estimating FARIMA models with uncorrelated but non-independent error terms. Statistical Inference for Stochastic Processes 24:3, pages 549-608.
Crossref
Ming Li. (2020) Long-range dependence and self-similarity of teletraffic with different protocols at the large time scale of day in the duration of 12 years: Autocorrelation modeling. Physica Scripta 95:6, pages 065222.
Crossref
Amit Chaurasia & Vivek Kumar Sehgal. (2019) The MPEG-4 based energy efficient application traffic modelling and synthesis for network-on-chip architecture. Sustainable Computing: Informatics and Systems 23, pages 67-79.
Crossref
Lichao Yang & Zuntao Fu. (2019) Process-dependent persistence in precipitation records. Physica A: Statistical Mechanics and its Applications 527, pages 121459.
Crossref
Lenin Arango-Castillo & Glen Takahara. (2019) Long-Range Dependence Parameter Estimation For Mixed Spectra Gaussian Processes. Long-Range Dependence Parameter Estimation For Mixed Spectra Gaussian Processes.
Н. О. Князєва, С. В. Шестопалов & Т. В. Кунуп. (2018) Аналітична модель інтелектуальної надбудови NGN з урахуванням самоподібності трафіку. Refrigeration Engineering and Technology 54:4, pages 72-79.
Crossref
Shuyang Bai & Murad S. Taqqu. (2018) How the Instability of Ranks Under Long Memory Affects Large-Sample Inference. Statistical Science 33:1.
Crossref
Lenin Arango-Castillo & Glen Takahara. (2017) Robust estimation of the sample mean variance for Gaussian processes with long-range dependence. Robust estimation of the sample mean variance for Gaussian processes with long-range dependence.
Carlos Barba-Jimenez, Raul Ramirez-Velarde & Juan A. Nolazco-Flores. (2016) Models for wireless H.264 video-on-demand services using self-similarity and heavy-tails. Wireless Networks 23:7, pages 2239-2252.
Crossref
Amit Chaurasia & Vivek Kumar Sehgal. (2017) Performance of Gaussian and Non-Gaussian Synthetic Traffic on Networks-on-Chip. International Journal of Multimedia Data Engineering and Management 8:2, pages 33-42.
Crossref
Sun Dong-Yong, Zhang Hong-Bo & Wang Yi-Min. (2017) Application of moving cut data-wavelet transformation analysis in dynamic structure mutation testing. Acta Physica Sinica 66:7, pages 079201.
Crossref
Samet Günay. (2016) Performance of the Multifractal Model of Asset Returns (MMAR): Evidence from Emerging Stock Markets. International Journal of Financial Studies 4:2, pages 11.
Crossref
Ming Li, Peidong Zhang & Jianxing Leng. (2016) Improving autocorrelation regression for the Hurst parameter estimation of long-range dependent time series based on golden section search. Physica A: Statistical Mechanics and its Applications 445, pages 189-199.
Crossref
P. Doukhan, D. Pommeret & L. Reboul. (2015) Data driven smooth test of comparison for dependent sequences. Journal of Multivariate Analysis 139, pages 147-165.
Crossref
Joo-Mok Kim & Yun-Kyong Kim. (2015) PARAMETER ESTIMATION AND SPECTRUM OF FRACTIONAL ARIMA PROCESS. Journal of applied mathematics & informatics 33:1_2, pages 203-210.
Crossref
Julio Ramírez-Pacheco, Deni Torres-Román, Homero Toral-Cruz & Leopoldo Vargas. 2014. Simulation Technologies in Networking and Communications. Simulation Technologies in Networking and Communications 93 114 .
Young Wook Han. (2014) Effects of Financial Crises on the Long Memory Volatility Dependency of Foreign Exchange Rates: the Asian Crisis vs. the Global Crisis. East Asian Economic Review 18:1, pages 3-27.
Crossref
Joo-Mok Kim. (2013) ON THE CONVERGENCE OF FARIMA SEQUENCE TO FRACTIONAL GAUSSIAN NOISE. Journal of the Chungcheong Mathematical Society 26:2, pages 411-420.
Crossref
Richard T. Baillie & Young Wook Han. (2013) High Frequency Interest Rate Differentials and Long Memory Property in Forward Premium Anomaly. Korean Journal of Financial Engineering 12:1, pages 149-168.
Crossref
Mohamed Reda Lakehal, Youcef Ferdi & Abdelmalik Taleb-Ahmed. (2012) On the self-similarity of 1/fβ sequences synthesized by recursive filtering. Computers & Electrical Engineering 38:2, pages 282-293.
Crossref
Oskar Vivero & William P. Heath. (2012) A regularised estimator for long-range dependent processes. Automatica 48:2, pages 287-296.
Crossref
Hu Sheng, YangQuan Chen & TianShuang QiuHu Sheng, YangQuan Chen & TianShuang Qiu. 2012. Fractional Processes and Fractional-Order Signal Processing. Fractional Processes and Fractional-Order Signal Processing 49 76 .
Tamás Éltető, Cécile Germain-Renaud, Pascal Bondon & Michèle Sebag. (2011) Towards Non-Stationary Grid Models. Journal of Grid Computing 9:4, pages 423-440.
Crossref
Hu Sheng, Hongguang Sun, YangQuan Chen & TianShuang Qiu. (2011) Synthesis of multifractional Gaussian noises based on variable-order fractional operators. Signal Processing 91:7, pages 1645-1650.
Crossref
Li Song & Pascal Bondon. (2011) Break detection in nonstationary strongly dependent long time series. Break detection in nonstationary strongly dependent long time series.
Alex Gonzaga & Michael Hauser. (2010) A wavelet Whittle estimator of generalized long-memory stochastic volatility. Statistical Methods & Applications 20:1, pages 23-48.
Crossref
H. Sheng, Y.Q. Chen & T. Qiu. (2011) On the robustness of Hurst estimators. IET Signal Processing 5:2, pages 209.
Crossref
George J. Jiang & Yisong S. Tian. (2010) Forecasting Volatility Using Long Memory and Comovements: An Application to Option Valuation under SFAS 123R. Journal of Financial and Quantitative Analysis 45:2, pages 503-533.
Crossref
Li Song & Pascal Bondon. (2010) Modelling piecewise long memory signals based on MDL. Modelling piecewise long memory signals based on MDL.
Richard G. Clegg, Carla Di Cairano-Gilfedder & Shi Zhou. (2010) A critical look at power law modelling of the Internet. Computer Communications 33:3, pages 259-268.
Crossref
Wei Zhao. (2009) Research on Fractional Option Pricing Model Under Real Brownian Motion Environment. Research on Fractional Option Pricing Model Under Real Brownian Motion Environment.
Hongwen Guo, Chae Young Lim & Mark M. Meerschaert. (2009) Local Whittle estimator for anisotropic random fields. Journal of Multivariate Analysis 100:5, pages 993-1028.
Crossref
Zhengmin Xia, Songnian Lu, Jianhua Li & Aixin Zhang. 2009. Information and Communications Security. Information and Communications Security 283 292 .
Zhengmin Xia, Songnian Lu, Jianhua Li & Jin Ma. 2009. Web Information Systems and Mining. Web Information Systems and Mining 383 392 .
Kyungduk Ko, Jaechoul Lee & Robert Lund. (2008) Confidence intervals for long memory regressions. Statistics & Probability Letters 78:13, pages 1894-1902.
Crossref
Li Song, Pascal Bondon, Yang Cao & Qi Cheng. (2008) A Time-Varying FARIMA Model for Internet Traffic. A Time-Varying FARIMA Model for Internet Traffic.
Julio C. Ramírez Pacheco, Deni Torres Román & Leopoldo Estrada Vargas. (2008) R/S Statistic: Accuracy and Implementations. R/S Statistic: Accuracy and Implementations.
Hae-Duck J. Jeong, Jong-Suk R. Lee, Don McNickle & Krzysztof Pawlikowski. (2007) Comparison of various estimators in simulated FGN. Simulation Modelling Practice and Theory 15:9, pages 1173-1191.
Crossref
Cheolwoo Park, Fred Godtliebsen, Murad Taqqu, Stilian Stoev & J.S. Marron. (2007) Visualization and inference based on wavelet coefficients, SiZer and SiNos. Computational Statistics & Data Analysis 51:12, pages 5994-6012.
Crossref
Mauro Andreolini, Sara Casolari & Michele Colajanni. (2007) Self-Inspection Mechanisms for the Support of Autonomic Decisions in Internet-Based Systems. Self-Inspection Mechanisms for the Support of Autonomic Decisions in Internet-Based Systems.
Hongwen Guo & Hira L. Koul. (2007) Nonparametric regression with heteroscedastic long memory errors. Journal of Statistical Planning and Inference 137:2, pages 379-404.
Crossref
J.C. Pacheco. (2006) Behavior of R/S Statistic Implementations under Time-Domain Operations. Behavior of R/S Statistic Implementations under Time-Domain Operations.
Jan Purczyński & Przemysław Włodarski. (2006) On fast generation of fractional Gaussian noise. Computational Statistics & Data Analysis 50:10, pages 2537-2551.
Crossref
Geetesh Bhardwaj & Norman R. Swanson. (2006) An empirical investigation of the usefulness of ARFIMA models for predicting macroeconomic and financial time series. Journal of Econometrics 131:1-2, pages 539-578.
Crossref
Geetesh Bhardwaj & Norman R. Swanson. 2006. Nonlinear Time Series Analysis of Business Cycles. Nonlinear Time Series Analysis of Business Cycles 379 405 .
C Di Cairano-Gilfedder & R G Clegg. (2005) A decade of Internet research — advances in models and practices. BT Technology Journal 23:4, pages 115-128.
Crossref
Stilian Stoev, Murad S. Taqqu, Cheolwoo Park & J.S. Marron. (2005) On the wavelet spectrum diagnostic for Hurst parameter estimation in the analysis of Internet traffic. Computer Networks 48:3, pages 423-445.
Crossref
ZHIPIN YE & CHUANGYIN DANG. (2011) PARAMETER ESTIMATION FOR LINEAR FRACTIONAL STABLE NOISE PROCESS. Journal of Circuits, Systems and Computers 14:02, pages 233-247.
Crossref
Young Wook Han. (2005) Long memory volatility dependency, temporal aggregation and the Korean currency crisis: the role of a high frequency Korean won (KRW)–US dollar ($) exchange rate. Japan and the World Economy 17:1, pages 97-109.
Crossref
Shiuyan Pong, Mark B. Shackleton, Stephen J. Taylor & Xinzhong Xu. (2004) Forecasting currency volatility: A comparison of implied volatilities and AR(FI)MA models. Journal of Banking & Finance 28:10, pages 2541-2563.
Crossref
E.J. McCoy & D.A. Stephens. (2004) Bayesian time series analysis of periodic behaviour and spectral structure. International Journal of Forecasting 20:4, pages 713-730.
Crossref
MURAD S. TAQQU. (2002) The Modelling of Ethernet Data and of Signals that are Heavy-tailed with Infinite Variance*. Scandinavian Journal of Statistics 29:2, pages 273-295.
Crossref
C. Marinelli, S.T. Rachev & R. Roll. (2001) Subordinated exchange rate models: evidence for heavy tailed distributions and long-range dependence. Mathematical and Computer Modelling 34:9-11, pages 955-1001.
Crossref
Alberto Montanari, Renzo Rosso & Murad S. Taqqu. (2000) A seasonal fractional ARIMA Model applied to the Nile River monthly flows at Aswan. Water Resources Research 36:5, pages 1249-1259.
Crossref
A.M. Sabatini. (2000) A statistical mechanical analysis of postural sway using non-Gaussian FARIMA stochastic models. IEEE Transactions on Biomedical Engineering 47:9, pages 1219-1227.
Crossref
Carlo Marinelli, Svetlozar T. Rachev, Richard Roll & Hermann Göppl. 2000. Datamining und Computational Finance. Datamining und Computational Finance 69 94 .
A. Montanari, M.S. Taqqu & V. Teverovsky. (1999) Estimating long-range dependence in the presence of periodicity: An empirical study. Mathematical and Computer Modelling 29:10-12, pages 217-228.
Crossref
E. Moulines & P. Soulier. (1997) Fractional exponential model for fractal point processes. Fractional exponential model for fractal point processes.
Shiu-yan Eddie Pong, Mark B. Shackleton, Stephen J. Taylor & Xinzhong Xinzhong Xu. (2002) Forecasting Currency Volatility: A Comparison of Implied Volatilities and AR(FI)MA Models. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.