K. Abadir, W. Distaso, and L. Giraitis, Nonstationarity-extended local Whittle estimation, Journal of Econometrics, vol.141, issue.2, pp.1353-1384, 2007.
DOI : 10.1016/j.jeconom.2007.01.020

P. Abry and D. Veitch, Wavelet analysis of long-range-dependent traffic. Information Theory, IEEE Transactions on, vol.44, issue.1, pp.2-15, 1998.

S. Achard, D. Bassett, A. Meyer-lindenberg, and E. Bullmore, Fractal connectivity of long-memory networks, Physical Review E, vol.77, issue.3, p.36104, 2008.
DOI : 10.1103/PhysRevE.77.036104
URL : https://hal.archives-ouvertes.fr/hal-00350185

J. Bardet, G. Lang, E. Moulines, and P. Soulier, Wavelet estimator of long-range dependent processes, Statistical Inference for Stochastic Processes, vol.3, issue.1/2, pp.85-99, 2000.
DOI : 10.1023/A:1009953000763

M. Chambers, The simulation of random vector time series with given spectrum, Mathematical and Computer Modelling, vol.22, issue.2, pp.1-6, 1995.
DOI : 10.1016/0895-7177(95)00106-C

J. Coeurjolly, P. Amblard, and S. Achard, Wavelet analysis of the multivariate fractional Brownian motion, ESAIM: Probability and Statistics, vol.17, pp.592-604, 2013.
DOI : 10.1051/ps/2012011
URL : https://hal.archives-ouvertes.fr/hal-00501720

R. Dahlhaus, Efficient Parameter Estimation for Self-Similar Processes, The Annals of Statistics, vol.17, issue.4, pp.1749-1766, 1989.
DOI : 10.1214/aos/1176347393

G. Didier and V. Pipiras, Integral representations and properties of operator fractional Brownian motions, Bernoulli, vol.17, issue.1, pp.1-33, 2011.
DOI : 10.3150/10-BEJ259

G. Faÿ, E. Moulines, F. Roueff, and M. Taqqu, Estimators of long-memory: Fourier versus wavelets, Journal of Econometrics, vol.151, issue.2, pp.159-177, 2009.
DOI : 10.1016/j.jeconom.2009.03.005

R. Fox and M. Taqqu, Large-Sample Properties of Parameter Estimates for Strongly Dependent Stationary Gaussian Time Series, The Annals of Statistics, vol.14, issue.2, pp.517-532, 1986.
DOI : 10.1214/aos/1176349936

M. Frías, F. Alonso, M. Ruiz-medina, and J. Angulo, Semiparametric estimation of spatial long-range dependence, Journal of Statistical Planning and Inference, vol.138, issue.5, pp.1479-1495, 2008.
DOI : 10.1016/j.jspi.2007.07.005

R. Gencay and D. Signori, Multi-scale tests for serial correlation, Journal of Econometrics, vol.184, issue.1, pp.62-80, 2015.
DOI : 10.1016/j.jeconom.2014.08.002

R. Gençay, F. Selçuk, and B. Whitcher, An introduction to wavelets and other filtering methods in finance and economics, 2001.

J. Geweke and S. Porter-hudak, THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS, Journal of Time Series Analysis, vol.50, issue.3, pp.221-238, 1983.
DOI : 10.1137/1010093

L. Giraitis, P. Robinson, and A. Samarov, Rate Optimal Semiparametric Estimation of the Memory Parameter of the Gaussian Time Series with Long-Range Dependence, Journal of Time Series Analysis, vol.18, issue.1, pp.49-60, 1997.
DOI : 10.1111/1467-9892.00038

A. Gonzaga and M. Hauser, A wavelet Whittle estimator of generalized long-memory stochastic volatility, Statistical Methods & Applications, vol.19, issue.4, pp.23-48, 2011.
DOI : 10.1007/s10260-010-0153-9

E. Hannan, The asymptotic theory of linear time-series models, Journal of Applied Probability, vol.pp, pp.130-145, 1973.

R. Horn and C. Johnson, Matrix analysis An efficient taper for potentially overdifferenced long-memory time series, Journal of Time Series Analysis, vol.21, issue.2, pp.155-180, 1990.

A. Iouditsky, E. Moulines, and P. Soulier, Adaptive Estimation of the Fractional Differencing Coefficient, Bernoulli, vol.7, issue.5, pp.699-731, 2001.
DOI : 10.2307/3318538

M. Jensen, An Approximate Wavelet MLE of Short- and Long-Memory Parameters, Studies in Nonlinear Dynamics & Econometrics, vol.3, issue.4, pp.239-253, 1999.
DOI : 10.2202/1558-3708.1051

S. Kechagias and V. Pipiras, DEFINITIONS AND REPRESENTATIONS OF MULTIVARIATE LONG-RANGE DEPENDENT TIME SERIES, Journal of Time Series Analysis, vol.59, issue.3, pp.1-25, 2015.
DOI : 10.1111/jtsa.12086

P. Kokoszka and M. Taqqu, Fractional ARIMA with stable innovations, Stochastic processes and their applications, pp.19-47, 1995.
DOI : 10.1016/0304-4149(95)00034-8
URL : http://doi.org/10.1016/0304-4149(95)00034-8

. Lobato, Consistency of the Averaged Cross-Periodogram in Long Memory Series, Journal of Time Series Analysis, vol.18, issue.2, pp.137-155, 1997.
DOI : 10.1111/1467-9892.00043

. Lobato, A semiparametric two-step estimator in a multivariate long memory model, Journal of Econometrics, vol.90, issue.1, pp.129-153, 1999.
DOI : 10.1016/S0304-4076(98)00038-4

B. Mandelbrot, V. Ness, and J. , Fractional Brownian Motions, Fractional Noises and Applications, SIAM Review, vol.10, issue.4, pp.422-437, 1968.
DOI : 10.1137/1010093

V. Maxim, L. Sendur, M. Fadili, J. Suckling, R. Gould et al., Fractional Gaussian noise, functional MRI and Alzheimer's disease, NeuroImage, vol.25, issue.1, pp.141-158, 2005.
DOI : 10.1016/j.neuroimage.2004.10.044
URL : https://hal.archives-ouvertes.fr/hal-00260264/file/NIMG2005.pdf

E. Moulines, F. Roueff, and M. Taqqu, On the Spectral Density of the Wavelet Coefficients of Long-Memory Time Series with Application to the Log-Regression Estimation of the Memory Parameter, Journal of Time Series Analysis, vol.8, issue.2, pp.155-187, 2007.
DOI : 10.2307/2669763
URL : https://hal.archives-ouvertes.fr/hal-00016357

E. Moulines, F. Roueff, and M. Taqqu, A wavelet whittle estimator of the memory parameter of a nonstationary Gaussian time series, The Annals of Statistics, vol.36, issue.4, pp.1925-1956, 2008.
DOI : 10.1214/07-AOS527
URL : https://hal.archives-ouvertes.fr/hal-00016446

F. Nielsen, Local Whittle estimation of multi-variate fractionally integrated processes, Journal of Time Series Analysis, vol.91, issue.3, pp.317-335, 2011.
DOI : 10.1111/j.1467-9892.2010.00702.x

M. Nielsen and P. Frederiksen, Finite Sample Comparison of Parametric, Semiparametric, and Wavelet Estimators of Fractional Integration, Econometric Reviews, vol.5, issue.4, pp.405-443, 2005.
DOI : 10.1017/S0266466600161031

G. Papanicolaou and K. Sølna, Wavelet based estimation of local Kolmogorov turbulence, Theory and Applications of Long-range Dependence, pp.473-505, 2003.

D. Percival and A. Walden, Wavelet methods for time series analysis, 2006.

P. Phillips and K. Shimotsu, Local Whittle estimation in nonstationary and unit root cases, The Annals of Statistics, vol.32, issue.2, pp.656-692, 2004.

P. Robinson, Rates of convergence and optimal spectral bandwidth for long range dependence, Probability Theory and Related Fields, vol.31, issue.3, pp.443-473, 1994.
DOI : 10.1007/BF01199901

P. Robinson, Semiparametric Analysis of Long-Memory Time Series, The Annals of Statistics, vol.22, issue.1, pp.515-539, 1994.
DOI : 10.1214/aos/1176325382

P. Robinson, Gaussian Semiparametric Estimation of Long Range Dependence, The Annals of Statistics, vol.23, issue.5, pp.1630-1661, 1995.
DOI : 10.1214/aos/1176324317

P. Robinson, Log-Periodogram Regression of Time Series with Long Range Dependence, The Annals of Statistics, vol.23, issue.3, pp.1048-1072, 1995.
DOI : 10.1214/aos/1176324636

P. Robinson, ROBUST COVARIANCE MATRIX ESTIMATION: HAC ESTIMATES WITH LONG MEMORY/ANTIPERSISTENCE CORRECTION, Econometric Theory, vol.5, issue.01, pp.171-180, 2005.
DOI : 10.1214/aos/1176324317
URL : http://eprints.lse.ac.uk/2157/1/ROBUST_COVARIANCE_MATRIX_ESTIMATION_HAC_Estimates_with_Long_Memory_Antipersistence_Correction.pdf

R. Sela and C. Hurvich, Computationaly efficient methods for two multivariate fractionnaly integrated models, Journal of Time Series Analysis, vol.306, 2008.

R. Sela and C. Hurvich, The averaged periodogram estimator for a power law in coherency, Journal of Time Series Analysis, vol.91, issue.6, pp.340-363, 2012.
DOI : 10.1111/j.1467-9892.2011.00770.x

K. Shimotsu, Gaussian semiparametric estimation of multivariate fractionally integrated processes, Journal of Econometrics, vol.137, issue.2, pp.277-310, 2007.
DOI : 10.1016/j.jeconom.2006.01.003

C. Velasco and P. Robinson, Whittle Pseudo-Maximum Likelihood Estimation for Nonstationary Time Series, Journal of the American Statistical Association, vol.6, issue.452, pp.1229-1243, 2000.
DOI : 10.1111/1467-9892.00127
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.3529

L. Wang and J. Wang, Wavelet estimation of the memory parameter for long range dependent random fields, Statistical Papers, vol.36, issue.4, pp.1145-1158, 2014.
DOI : 10.1007/s00362-013-0558-2

B. Whitcher and M. Jensen, Wavelet estimation of a local long memory parameter, Exploration Geophysics, vol.31, issue.2, pp.94-103, 2000.
DOI : 10.1071/EG00094

G. Wornell and A. Oppenheim, Estimation of fractal signals from noisy measurements using wavelets, IEEE Transactions on Signal Processing, vol.40, issue.3, pp.611-623, 1992.
DOI : 10.1109/78.120804