M. Cheney, A mathematical tutorial on synthetic aperture radar An introduction to synthetic aperture radar (SAR) and SAR interferometry, Approximation Theory X: Wavelets, Splines, and Applications, pp.167-177, 2001.

C. Oliver and S. Quegan, Understanding Synthetic Aperture Radar Images, 1998.

V. S. Frost and L. S. Yurovsky, Maximum likelihood classification of synthetic aperture radar imagery, Computer Vision, Graphics, and Image Processing, vol.32, issue.3, pp.291-313, 1985.
DOI : 10.1016/0734-189X(85)90053-2

Y. Kouskoulas, F. T. Ulaby, and L. E. Pierce, The Bayesian Hierarchical Classifier (BHC) and Its Application to Short Vegetation Using Multifrequency Polarimetric SAR, IEEE Transactions on Geoscience and Remote Sensing, vol.42, issue.2, pp.469-477, 2004.
DOI : 10.1109/TGRS.2003.821066

A. N. Nyonngui, E. Tonye, and A. Akono, Evaluation of speckle filtering and texture analysis methods for land cover classification from SAR images, International Journal of Remote Sensing, vol.6, issue.9, pp.1895-1925, 2002.
DOI : 10.1080/014311698214398

R. O. Duda, P. E. Hart, and D. G. Stork, Pattern Classification, 2001.

R. Touzi, A review of speckle filtering in the context of estimation theory, IEEE Transactions on Geoscience and Remote Sensing, vol.40, issue.11, pp.2392-2404, 2002.
DOI : 10.1109/TGRS.2002.803727

J. S. Lee, Speckle analysis and smoothing of synthetic aperture radar images, Computer Graphics and Image Processing, vol.17, issue.1, pp.24-32, 1981.
DOI : 10.1016/S0146-664X(81)80005-6

V. S. Frost, J. A. Stiles, K. S. Shanmugan, and J. C. Holtzman, A Model for Radar Images and Its Application to Adaptive Digital Filtering of Multiplicative Noise, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.4, issue.2, pp.157-167, 1982.
DOI : 10.1109/TPAMI.1982.4767223

C. Tison, J. Nicolas, F. Tupin, and H. Maitre, A new statistical model for Markovian classification of urban areas in high-resolution SAR images, IEEE Transactions on Geoscience and Remote Sensing, vol.42, issue.10, pp.2046-2057, 2004.
DOI : 10.1109/TGRS.2004.834630

URL : https://hal.archives-ouvertes.fr/hal-00556167

E. Parzen, On Estimation of a Probability Density Function and Mode, The Annals of Mathematical Statistics, vol.33, issue.3, pp.267-281, 1962.
DOI : 10.1214/aoms/1177704472

C. M. Bishop and U. K. , Neural Networks for Pattern Recognition, 1996.

L. Bruzzone, M. Marconcini, U. Wegmuller, and A. Wiesmann, An advanced system for the automatic classification of multitemporal SAR images, IEEE Transactions on Geoscience and Remote Sensing, vol.42, issue.6, pp.1321-1334, 2004.
DOI : 10.1109/TGRS.2004.826821

P. Mantero, G. Moser, and S. B. Serpico, Partially supervised classification of remote sensing images using SVM-based probability density estimation, IEEE Workshop on Advances in Techniques for Analysis of Remotely Sensed Data, 2003, pp.327-336, 2003.
DOI : 10.1109/WARSD.2003.1295212

V. N. Vapnik, Statistical Learning Theory, 1998.

J. Weston, A. Gammerman, M. Stitson, V. Vapnik, V. Vovk et al., Support vector density estimation, Advances in Kernel Methods Support Vector Learning, pp.293-306, 1999.

J. W. Goodman, Some fundamental properties of speckle*, Journal of the Optical Society of America, vol.66, issue.11, pp.1145-1150, 1977.
DOI : 10.1364/JOSA.66.001145

E. E. Kuruoglu and J. Zerubia, Modeling SAR Images With a Generalization of the Rayleigh Distribution, IEEE Transactions on Image Processing, vol.13, issue.4, pp.527-533, 2004.
DOI : 10.1109/TIP.2003.818017

J. M. Nicolas, Introduction Aux Statistiques De Deuxième Espéce: Application Aux Lois D'images RSO, 2002.

R. Dana and D. Knepp, The Impact of Strong Scintillation on Space Based Radar Design II: Noncoherent Detection, IEEE Transactions on Aerospace and Electronic Systems, vol.22, issue.1, pp.34-46, 1986.
DOI : 10.1109/TAES.1986.310690

J. W. Goodman, Statistical properties of laser speckle patterns, Laser Speckle and Related Phenomena, pp.9-75, 1975.

I. Joughin, D. P. Winebrenner, and D. B. , Probability density functions for multilook polarimetric signatures, IEEE Transactions on Geoscience and Remote Sensing, vol.32, issue.3
DOI : 10.1109/36.297975

G. K. Karagiannidis, D. A. Zogas, and S. A. Kotsopoulos, On the multivariate nakagami-m distribution with exponential correlation, IEEE Transactions on Communications, vol.51, issue.8, pp.1240-1244, 2003.
DOI : 10.1109/TCOMM.2003.815071

J. Lee, K. W. Hoppel, S. A. Mango, and A. R. Miller, Intensity and phase statistics of multilook polarimetric and interferometric SAR imagery, IEEE Trans. Geosci. Remote Sens, vol.32, issue.5, pp.1017-1028, 1994.

J. Nicolas and F. Tupin, Gamma mixture modeled with second kind statistics: Application to SAR image processing, " presented at the IGARSS Conf, 2002.

J. Nicolas, Introduction aux statistiques de deuxième espéce: Applications des log-moments et des log-cumulants a l'analyze des lois d'images radar, Traitement du Signal, 2002.

C. Tison, J. Nicolas, and F. Tupin, Accuracy of fisher distributions and log-moment estimation to describe histograms of high-resolution SAR images over urban areas, 2003.

P. Levy, Calcul des Probabilites (in French), 1925.

E. E. Kuruoglu, Density parameter estimation of skewed ??-stable distributions, IEEE Transactions on Signal Processing, vol.49, issue.10, pp.2192-2201, 2001.
DOI : 10.1109/78.950775

E. E. Kuruoglu and J. Zerubia, Skewed ??-stable distributions for modelling textures, Pattern Recognition Letters, vol.24, issue.1-3, pp.339-348, 2003.
DOI : 10.1016/S0167-8655(02)00247-7

F. Bowman, Introduction to Bessel Functions, 1968.

I. Sneddon, The Use of Integral Transforms, 1972.

E. Jakeman and P. N. Pusey, A model for non-Rayleigh sea echo Significance of K distributions in scattering experiments, IEEE Trans. Antennas Propagat, vol.37, issue.6, pp.806-814, 1976.

C. J. Oliver, A Model for Non-Rayleigh Scattering Statistics, Optica Acta: International Journal of Optics, vol.19, issue.6, pp.701-722, 1984.
DOI : 10.1080/713821561

J. Jao, Amplitude distribution of composite terrain radar clutter and the K-distribution, IEEE Trans. Antennas Propagat, vol.32, issue.10, pp.1049-1052, 1984.

Y. Delignon and W. Pieczynski, Modeling non-Rayleigh speckle distribution in SAR images, IEEE Transactions on Geoscience and Remote Sensing, vol.40, issue.6, pp.1430-1435, 2002.
DOI : 10.1109/TGRS.2002.800234

C. J. Oliver, Correlated K-distributed Clutter Models, Optica Acta: International Journal of Optics, vol.19, issue.12, pp.1515-1547, 1985.
DOI : 10.1080/713821683

S. H. Yueh and J. A. Kong, K-Distribution and Polarimetric Terrain Radar Clutter, Journal of Electromagnetic Waves and Applications, vol.25, issue.2, pp.747-768, 1999.
DOI : 10.1163/156939389X00412

A. C. Frery, H. Muller, C. C. Yanasse, and S. Sant-'anna, A model for extremely heterogeneous clutter, IEEE Transactions on Geoscience and Remote Sensing, vol.35, issue.3, pp.648-659, 1997.
DOI : 10.1109/36.581981

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.585.9991

H. Muller and R. Pac, G-statistics for scaled SAR data, IEEE 1999 International Geoscience and Remote Sensing Symposium. IGARSS'99 (Cat. No.99CH36293), pp.1297-1299, 1999.
DOI : 10.1109/IGARSS.1999.774610

T. Eltoft, Speckle modeling and filtering, " presented at the NORSIG Symp, 2003.

W. Szajnowski, Estimators of Log-Normal Distribution Parameters, IEEE Transactions on Aerospace and Electronic Systems, vol.13, issue.5, pp.533-536, 1977.
DOI : 10.1109/TAES.1977.308418

Y. Delignon, A. Marzouki, and W. Pieczynski, Estimation of generalized mixtures and its application in image segmentation, IEEE Transactions on Image Processing, vol.6, issue.10, pp.1364-1375, 2001.
DOI : 10.1109/83.624951

URL : https://hal.archives-ouvertes.fr/hal-00681507

J. Nicolas and A. Maruani, Lower-order statistics: A new approach for probability density functions defined on

F. Bujor, E. Trouve, L. Valet, J. Nicolas, and J. Rudant, Application of log-cumulants to the detection of spatiotemporal discontinuities in multitemporal SAR images, IEEE Transactions on Geoscience and Remote Sensing, vol.42, issue.10, pp.2073-2084, 2004.
DOI : 10.1109/TGRS.2004.835304

URL : https://hal.archives-ouvertes.fr/hal-00514227

A. Tesei and C. S. Regazzoni, HOS-based generalized noise pdf models for signal detection optimization, Signal Processing, vol.65, issue.2, pp.267-281, 1998.
DOI : 10.1016/S0165-1684(97)00223-5

C. Bouman and K. Sauer, A generalized Gaussian image model for edge-preserving MAP estimation, IEEE Transactions on Image Processing, vol.2, issue.3, pp.296-310, 1993.
DOI : 10.1109/83.236536

P. Moulin and J. Liu, Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors, IEEE Transactions on Information Theory, vol.45, issue.3, pp.909-919, 1999.
DOI : 10.1109/18.761332

S. Mallat, A Wavelet Tour of Signal Processing, 1999.

E. P. Simoncelli, Statistical models for images: compression, restoration and synthesis, Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136), pp.673-678, 1997.
DOI : 10.1109/ACSSC.1997.680530

E. P. Simoncelli and E. H. Adelson, Noise removal via Bayesian wavelet coring, Proceedings of 3rd IEEE International Conference on Image Processing, pp.379-382, 1996.
DOI : 10.1109/ICIP.1996.559512

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.3669

W. Rudin, Real and Complex Analysis, 1987.

W. H. Press, S. A. Teukolsky, W. T. Wetterling, B. P. Flannery, U. K. Cambridge et al., Numerical Recipes in C An experimental comparison of neural and statistical nonparametric algorithms for supervised classification of remote sensing images, Pattern Recognit. Lett, vol.17, pp.1331-1341, 1996.

G. Moser, J. Zerubia, and S. B. Serpico, SAR amplitude probability density function estimation based on a generalized Gaussian scattering model, Image and Signal Processing for Remote Sensing X, 2004.
DOI : 10.1117/12.567853

URL : https://hal.archives-ouvertes.fr/inria-00071430

M. Datcu, K. Seidel, and M. Walessa, Spatial information retrieval from remote-sensing images. I. Information theoretical perspective, IEEE Transactions on Geoscience and Remote Sensing, vol.36, issue.5, pp.1431-1445, 1998.
DOI : 10.1109/36.718847

M. Petrou, F. Giorgini, and P. Smits, Modelling the histograms of various classes in SAR images, Pattern Recognition Letters, vol.23, issue.9, pp.1103-1107, 2002.
DOI : 10.1016/S0167-8655(02)00057-0

R. A. Redner and H. F. Walker, Mixture Densities, Maximum Likelihood and the EM Algorithm, SIAM Review, vol.26, issue.2, pp.195-239, 1984.
DOI : 10.1137/1026034

W. Rudin, Functional Analysis, 1990.

G. Moser, 05) received the Laurea (M.S.) degree (summa cum laude) in telecommunications engineering and the Ph.D. degree in space sciences and engineering from the University of Genoa in the field of remote-sensing image analysis, 2001 and 2005, respectively. Since 2001, he has cooperated with the Signal Processing and Telecommunications Research Group (SP&T)