E. J. Allen and C. Huff, Derivation of stochastic differential equations for sunspot activity, Astronomy and Astrophysics, vol.497, pp.1140004-6361, 2010.
DOI : 10.1007/BF02702427

F. J. Anscombe, The transformation of poisson, binomial and negative-binomial data, Biometrika, vol.354, issue.3, pp.246-254, 1948.

R. Arlt, Digitization of Sunspot Drawings by Staudacher in 1749 ? 1796. Solar Physics, pp.399-410, 2008.

M. S. Bartlett, The Use of Transformations, Biometrics, vol.3, issue.1, pp.39-52, 1947.
DOI : 10.2307/3001536

R. J. Bray and R. E. Loughhead, Sunspots. The International Astrophysics Series, 1964.

C. Chatfield, The Analysis of Time Series: an Introduction, 2003.

F. Clette, D. Berghmans, P. Vanlommel, R. A. Van-der-linden, A. Koeckelenbergh et al., From the Wolf number to the International Sunspot Index: 25 years of SIDC, Advances in Space Research, vol.40, issue.7, pp.919-928, 2007.
DOI : 10.1016/j.asr.2006.12.045

F. Clette, L. Svalgaard, J. M. Vaquero, and E. W. , Revisiting the Sunspot Number, Space Science Reviews, vol.736, issue.4, pp.35-103, 2014.
DOI : 10.1088/0004-637X/736/2/115

F. Clette, L. Lefèvre, M. Cagnotti, S. Cortesi, and A. Bulling, The revised Brussels-Locarno Sunspot Number (1981-2015) Solar Physics, in press, pp.10-1007, 2016.

E. W. Cliver, The Discontinuity in 1885 in the Group Sunspot Number. Solar Physics, submitted, 2016.

R. A. Davis, W. T. Dunsmuir, and Y. Wang, Modeling time series of count data, Statistics Textbooks and Monographs, vol.158, pp.63-114, 1999.

D. Donoho, I. Johnstone, and I. M. Johnstone, Ideal spatial adaptation by wavelet shrinkage, Biometrika, vol.81, issue.3, pp.425-455, 1993.
DOI : 10.1093/biomet/81.3.425

T. Dudok-de-wit, A method for filling gaps in solar irradiance and solar proxy data, Astronomy & Astrophysics, vol.105, issue.A29, pp.4-6361, 2011.
DOI : 10.1029/2000JA000051
URL : https://hal.archives-ouvertes.fr/insu-01253613

T. Dudok-de-wit, G. Kopp, C. Fröhlich, and M. Schöll, Methodology to create a new total solar irradiance record: Making a composite out of multiple data records, Geophysical Research Letters, vol.35, issue.3, 2016.
DOI : 10.1007/s10712-014-9294-y
URL : https://hal.archives-ouvertes.fr/insu-01478834

T. K. Friedli, Homogenization of the Wolf Series from 1749 to 2014. Solar Physics, submitted, 2016.

C. Fröhlich, Determination of time-dependent uncertainty of the total solar irradiance records from 1978 to present, Journal of Space Weather and Space Climate, vol.352, 2016012.
DOI : 10.1007/s10509-014-1961-4

G. H. Golub and C. F. Van-loan, An Analysis of the Total Least Squares Problem, SIAM Journal on Numerical Analysis, vol.17, issue.6, pp.883-893, 1980.
DOI : 10.1137/0717073

R. F. Howard, The growth and decay of sunspot groups. Solar Physics, pp.51-65, 1992.

D. V. Hoyt and K. H. Schatten, Group Sunspot Numbers: A New Solar Activity Reconstruction, Solar Physics, vol.181, issue.2, pp.491-512, 1998.
DOI : 10.1023/A:1005056326158

F. Lepreti, P. C. Fanello, F. Zaccaro, and V. Carbone, Persistence of solar activity on small scales: Hurst analysis of time series coming from H? flares, Solar Physics, vol.197, issue.1, pp.149-156, 2000.
DOI : 10.1023/A:1026560212716

C. Letellier, L. A. Aguirre, J. Maquet, and R. Gilmore, Evidence for low dimensional chaos in sunspot cycles, Astronomy & Astrophysics, vol.35, issue.1, pp.379-387, 2006.
DOI : 10.1016/0167-2789(92)90102-S
URL : http://www.aanda.org/articles/aa/pdf/2006/13/aa3947-05.pdf

L. Ljung, System Identification: Theory for the User, 1997.

M. Lockwood, M. J. Owens, L. Barnard, and I. G. Usoskin, Tests of Sunspot Number Sequences: 3. Effects of Regression Procedures on the Calibration of Historic Sunspot Data. Solar Physics, in press, 2016.
DOI : 10.1007/s11207-016-0855-8
URL : https://doi.org/10.1007/s11207-016-0855-8

M. Lockwood, C. J. Scott, M. J. Owens, L. Barnard, and D. M. Willis, Tests of Sunspot Number Sequences: 1. Using Ionosonde Data. Solar Physics, in press, 2016.
DOI : 10.1007/s11207-016-0855-8
URL : https://doi.org/10.1007/s11207-016-0855-8

M. Mäkitalo and A. Foi, Poisson-gaussian denoising using the exact unbiased inverse of the generalized anscombe transformation, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1081-1084, 2010.
DOI : 10.1109/ICASSP.2012.6288074

M. E. Mann and J. M. Lee, Robust estimation of background noise and signal detection in climatic time series, Climatic Change, vol.96, issue.3, pp.409-445, 1996.
DOI : 10.1007/BF00142586

G. E. Morfill, H. Scheingraber, W. Voges, and C. P. Sonett, Sunspot number variations -Stochastic or chaotic, The Sun in Time, pp.30-58, 1991.

P. L. Noble and M. S. Wheatland, MODELING THE SUNSPOT NUMBER DISTRIBUTION WITH A FOKKER-PLANCK EQUATION, The Astrophysical Journal, vol.732, issue.1, 2011.
DOI : 10.1088/0004-637X/732/1/5
URL : http://iopscience.iop.org/article/10.1088/0004-637X/732/1/5/pdf

P. L. Noble and M. S. Wheatland, Origin and Use of the Laplace Distribution in Daily Sunspot Numbers, Solar Physics, vol.351, issue.2, pp.565-578, 2013.
DOI : 10.1086/168467

R. T. Ogden, Essential wavelets for statistical applications, 1996.
DOI : 10.1007/978-1-4612-0709-2

M. Pop, Distribution of the daily Sunspot Number variation for the last 14 solar cycles. Solar Physics, pp.351-361, 2011.

W. H. Press and G. B. Rybicki, Fast algorithm for spectral analysis of unevenly sampled data, The Astrophysical Journal, vol.338, pp.277-280, 1989.
DOI : 10.1086/167197

B. Schaffrin and A. Wieser, On weighted total least-squares adjustment for linear regression, Journal of Geodesy, vol.29, issue.24, pp.415-421, 2008.
DOI : 10.1137/1.9781611971002

T. Schneider, Analysis of Incomplete Climate Data: Estimation of Mean Values and Covariance Matrices and Imputation of Missing Values, Journal of Climate, vol.14, issue.5, pp.853-8711520, 2001.
DOI : 10.1175/1520-0442(2001)014<0853:AOICDE>2.0.CO;2

M. Schulz and M. Mudelsee, REDFIT: estimating red-noise spectra directly from unevenly spaced paleoclimatic time series, Computers & Geosciences, vol.28, issue.3, pp.421-426, 2002.
DOI : 10.1016/S0098-3004(01)00044-9

D. Sornette, Critical phenomena in natural sciences: chaos, fractals selforganization and disorder : concepts and tools. Springer series in synergetics, 2004.
DOI : 10.1007/978-3-662-04174-1

L. Svalgaard, Solar activity -past, present, future Journal of Space Weather and Space Climate, p.24, 2013.

L. Svalgaard and K. H. Schatten, Reconstruction of the Sunspot Group Number: the Backbone Method. Solar Physics, in press, 2016.

B. N. Taylor and C. E. Kuyatt, Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results, National Institute of Standards and Technology, 1994.
DOI : 10.6028/NIST.TN.1297

I. G. Usoskin, K. Mursula, and G. A. Kovaltsov, On the reliability of monthly/yearly means calculated from sparse daily sunspot numbers Solar Variability as an Input to the Earth's Environment, pp.165-168, 2003.

J. M. Vaquero, Historical sunspot observations: A review Advances in Space Research, pp.929-941, 2007.

J. M. Vaquero and M. Vázquez, The Sun Recorded Through History: Scientific Data Extracted from Historical Documents, volume 361 of Astrophysics and Space Science Library, 2009.

A. Vigouroux and P. Delachie, Sunspot numbers uncertainties and parametric representations of solar activity variations. Solar Physics, pp.267-274, 1994.
DOI : 10.1007/bf01473214

Y. Wang, J. L. Lean, N. R. Sheeley, and J. , Modeling the Sun???s Magnetic Field and Irradiance since 1713, The Astrophysical Journal, vol.625, issue.1, pp.522-538, 2005.
DOI : 10.1086/429689
URL : http://iopscience.iop.org/article/10.1086/429689/pdf

R. Wolf, Mitteilungen über die Sonnenflecken III, Astronomische Mitteilungen der Eidgenössischen Sternwarte Zürich, vol.1, pp.27-50, 1850.