P. Lévy, Th??orie des erreurs. La loi de Gauss et les lois exceptionnelles, Bulletin de la Société mathématique de France, vol.2, pp.49-85, 1924.
DOI : 10.24033/bsmf.1046

A. Achim, P. Tsakalides, and A. Bezerianos, SAR image denoising via Bayesian wavelet shrinkage based on heavy-tailed modeling, IEEE Transactions on Geoscience and Remote Sensing, vol.41, issue.8, pp.1773-1784, 2003.
DOI : 10.1109/TGRS.2003.813488

A. Banerjee, P. Burlina, and R. Chellappa, Adaptive target detection in foliage-penetrating SAR images using alpha-stable models, IEEE Transactions on Image Processing, vol.8, issue.12, pp.1823-1831, 1999.
DOI : 10.1109/83.806628

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

J. H. Mcculloch, Financial applications of stable distributions, Handbook of statistics, Statistical Method in Finance, pp.393-425, 1996.

E. F. Fama, The Behavior of Stock-Market Prices, The Journal of Business, vol.38, issue.1, pp.34-105, 1965.
DOI : 10.1086/294743

D. P. Williams, Bayesian Data Fusion of Multiview Synthetic Aperture Sonar Imagery for Seabed Classification, IEEE Transactions on Image Processing, vol.18, issue.6, pp.1239-1254, 2009.
DOI : 10.1109/TIP.2009.2017161

A. Dempster, Upper and Lower Probabilities Induced by a Multivalued Mapping, The Annals of Mathematical Statistics, vol.38, issue.2, pp.325-339, 1967.
DOI : 10.1214/aoms/1177698950

G. Shafer, A mathematical theory of evidence, 1976.

A. Fiche and A. Martin, Bayesian approach and continuous belief functions for classification, Proceedings of the Rencontre francophone sur la Logique Floue et ses Applications, pp.5-6, 2009.

A. Dempster, N. Laird, and D. Rubin, Maximum likelihood from incomplete data via the EM algorithm, Journal of the Royal Statistical Society B, vol.39, pp.1-38, 1977.

A. Fiche, A. Martin, J. C. Cexus, and A. Khenchaf, Influence de l'estimation des paramètres de texture pour la classification de données complexes, Proceedings of the Workshop Fouilles de données complexes, pp.25-28, 2010.

A. Fiche, A. Martin, J. C. Cexus, and A. Khenchaf, Continuous belief functions and ?-stable distributions, Proceedings of the 13th International Conference on Information Fusion, pp.26-29, 2010.
DOI : 10.1109/icif.2010.5711934

URL : https://hal.archives-ouvertes.fr/hal-01241525

I. Quidu, J. P. Malkasse, G. Burel, and P. Vilbé, Mine classification based on raw sonar data: an approach combining Fourier descriptors, statistical models and genetic algorithms, OCEANS 2000 MTS/IEEE Conference and Exhibition. Conference Proceedings (Cat. No.00CH37158), pp.285-290, 2000.
DOI : 10.1109/OCEANS.2000.881274

URL : https://hal.archives-ouvertes.fr/hal-00504817

H. Laanaya and A. Martin, Multi-view fusion based on belief functions for seabed recognition, Proceedings of the 12th International Conference on Information Fusion, pp.6-9, 2009.

E. Pouliquen and X. Lurton, Sea-bed identification using echo-sounder signals, Proceedings of the European Conference on Underwater Acoustics, pp.535-539, 1992.

A. Janicki and A. Weron, Simulation and chaotic behavior of ?-stable stochastic processes, 1994.

M. S. Taqqu and G. Samorodnisky, Stable non-gaussian random processes, 1994.

V. M. Zolotarev, One-dimensional stable distributions, Translations of Mathematical Monographs, 1986.

J. P. Nolan, Numerical calculation of stable densities and distribution functions, Communications in Statistics-Stochastic Models, pp.759-774, 1997.

E. F. Fama and R. , Parameter Estimates for Symmetric Stable Distributions, Journal of the American Statistical Association, vol.40, issue.334, pp.331-338, 1971.
DOI : 10.1214/aoms/1177729794

J. H. Mcculloch, Simple consistent estimators of the parameters of stable laws, Journal of the American Statistical Association, vol.75, issue.372, pp.918-928, 1980.

S. J. Press, Applied multivariate analysis, 1972.

S. J. Press, Estimation in Univariate and Multivariate Stable Distributions, Journal of the American Statistical Association, vol.67, issue.340, pp.842-846, 1972.
DOI : 10.1080/01621459.1964.10482170

I. A. Koutrouvelis, Regression-Type Estimation of the Parameters of Stable Laws, Journal of the American Statistical Association, vol.39, issue.372, pp.918-928, 1980.
DOI : 10.1080/01621459.1980.10477573

I. A. Koutrouvelis, An iterative procedure for the estimation of the parameters of stable laws, Communications in Statistics-Simulation and Computation, pp.17-28, 1981.

B. W. Brorsen and S. R. Yang, Maximum Likelihood Estimates of Symmetric Stable Distribution Parameters, Communications in Statistics - Simulation and Computation, vol.6, issue.4, pp.1459-1464, 1990.
DOI : 10.1080/03610919008812928

J. H. Mcculloch, Linear regression with stable disturbances A practical guide to heavy tailed data, pp.359-376, 1998.

W. H. Dumouchel, Stable distributions in statistical inference, 1971.

J. P. Nolan, Maximum Likelihood Estimation and Diagnostics for Stable Distributions, Lévy processes: theory and applications, pp.379-400, 2001.
DOI : 10.1007/978-1-4612-0197-7_17

R. Weron, Performance of the estimators of stable law parameters, 1995.

V. Akgiray and C. G. Lamoureux, Estimation of Stable-Law Parameters: A Comparative Study, Journal of Business & Economic Statistics, vol.69, issue.1, pp.85-93, 1989.
DOI : 10.1080/07350015.1989.10509716

R. Modarres and J. P. Nolan, A method for simulating stable random vectors, Computational Statistics, vol.9, issue.4, pp.11-20, 1994.

J. H. Mcculloch, Estimation of the bivariate stable spectral representation by the projection method, Computational Economics, vol.16, issue.1/2, pp.47-62, 2000.
DOI : 10.1023/A:1008797318867

J. P. Nolan, A. K. Panorska, and J. H. Mcculloch, Estimation of stable spectral measures, Mathematical and Computer Modelling, vol.34, issue.9-11, pp.9-11, 2001.
DOI : 10.1016/S0895-7177(01)00119-4

K. Sentz and S. Ferson, Combination of evidence in Dempster-Shafer theory, 2002.
DOI : 10.2172/800792

. Ph and . Smets, The combination of evidence in the transferable belief model, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.12, issue.5, pp.447-458, 1990.

. Ph and . Smets, Constructing the pignistic probability function in a context of uncertainty, Uncertainty in Artificial Intelligence, vol.5, pp.29-40, 1990.

H. T. Nguyen, On random sets and belief functions, Journal of Mathematical Analysis and Applications, vol.65, issue.3, pp.531-542, 1978.
DOI : 10.1016/0022-247X(78)90161-0

T. M. Strat, Continuous belief functions for evidential reasoning, Proceedings of the National Conference on Artificial Intelligence, pp.308-313, 1984.

. Ph and . Smets, Belief functions on real numbers, International Journal of Approximate Reasoning, vol.40, issue.3, pp.181-223, 2005.

B. Ristic, . Ph, and . Smets, Target classification approach based on the belief function theory, IEEE Transactions on Aerospace and Electronic Systems, vol.41, issue.2, pp.574-583, 2005.
DOI : 10.1109/TAES.2005.1468749

F. Caron, B. Ristic, E. Duflos, and P. Vanheeghe, Least Committed basic belief density induced by a multivariate Gaussian pdf, 2006 9th International Conference on Information Fusion, pp.419-436, 2008.
DOI : 10.1109/ICIF.2006.301557

P. E. Doré, A. Martin, and A. Khenchaf, Constructing of a consonant belief function induced by a multimodal probability density function, Proceedings of COGnitive systems with Interactive Sensors (COGIS09), pp.5-6, 2009.

J. M. Vannobel, Continuous belief functions: singletons plausibility function in conjunctive and disjunctive combination operations of consonant bbds, Proceedings of the Workshop on the Theory of Belief Function, pp.1-2, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00805110

M. Yamazato, Unimodality of infinitely divisible distribution functions of class L, The Annals of Probability, pp.523-531, 1978.

. Ph and . Smets, Belief functions: The disjunctive rule of combination and the generalized Bayesian theorem, International Journal of Approximate Reasoning, vol.9, issue.1, pp.1-35, 1993.

F. Delmotte, . Ph, and . Smets, Target Identification Based on the Transferable Belief Model Interpretation of Dempster???Shafer Model, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, vol.34, issue.4, pp.457-471, 2004.
DOI : 10.1109/TSMCA.2004.826266

R. M. Haralick, K. Shanmugam, and I. H. Dinstein, Textural Features for Image Classification, IEEE Transactions on Systems, Man, and Cybernetics, vol.3, issue.6, pp.610-621, 1973.
DOI : 10.1109/TSMC.1973.4309314

R. M. Haralick, Statistical and structural approaches to texture, Proceedings of the IEEE, pp.786-804, 1979.
DOI : 10.1109/PROC.1979.11328

J. H. Mcculloch, Simple consistent estimators of stable distribution parameters, Communications in Statistics-Simulation and Computation, pp.1109-1136, 1986.

J. P. Nolan and B. Rajput, Calculation of multidimensional stable densities, Communications in Statistics-Simulation and Computation, pp.551-566, 1995.

D. Caughey, B. Prager, and J. Klymak, Sea bottom classification from echo sounding data. Quester Tangent Corporation, Marine Technology Center, 1994.

A. Martin, J. C. Cexus, G. Le-chenadec, E. Cantéro, T. Landeau et al., Autonomous Underwater Vehicle sensors fusion by the theory of belief functions for Rapid Environment Assessment, Proceedings of the 10th European Conference on Underwater Acoustics