, The rician distribution of noisy mri data, Magnetic Resonance in Medicine, vol.3, issue.6, pp.910-914, 1995.
DOI : 10.1002/mrm.1910340618
, Maximum likelihood estimation of signal amplitude and noise variance from MR data, Magnetic Resonance in Medicine, vol.22, issue.3, pp.586-594, 2004.
DOI : 10.1002/mrm.10728
, The joint estimation of signal and noise from the sum envelope, IEEE Transactions on Information Theory, vol.13, issue.3, pp.447-454, 1967.
DOI : 10.1109/TIT.1967.1054037
, Parameter estimation from Rician-distributed data sets using a maximum likelihood estimator: Application to t1 and perfusion measurements, Magnetic Resonance in Medicine, vol.34, issue.3, pp.614-623, 1999.
DOI : 10.1002/(SICI)1522-2594(199903)41:3<614::AID-MRM26>3.0.CO;2-1
, Maximum a posteriori estimation of diffusion tensor parameters using a Rician noise model: Why, how and but, NeuroImage, vol.42, issue.4, pp.1340-1356, 2008.
DOI : 10.1016/j.neuroimage.2008.05.053
, Modelling, Fitting and Sampling in Diffusion MRI, Visualization and Processing of Tensor, 2009.
DOI : 10.1007/978-3-540-88378-4_1
, Signal-to-noise measurements in magnitude images from NMR phased arrays, Proceedings of the 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. 'Magnificent Milestones and Emerging Opportunities in Medical Engineering' (Cat. No.97CH36136), pp.852-857, 1997.
DOI : 10.1109/IEMBS.1997.754578
, Mathematical Analysis of Random Noise, Bell System Technical Journal, vol.24, issue.1, pp.46-156, 1945.
DOI : 10.1002/j.1538-7305.1945.tb00453.x
, Advances in the reconstruction and statistical processing of magnetic resonance images, 2010.
, Numerical Recipes: The Art of Scientific Computing, 1992.
, A proof of the Fisher information inequality via a data processing argument, IEEE Transactions on Information Theory, vol.44, issue.3, pp.1246-1250, 1998.
DOI : 10.1109/18.669301
, The bias/variance trade-off when estimating the MR signal magnitude from the complex average of repeated measurements, Magnetic Resonance in Medicine, vol.25, issue.5, pp.1456-1467, 2011.
DOI : 10.1002/mrm.22910
, Maximum-likelihood estimation of Rician distribution parameters, IEEE Transactions on Medical Imaging, vol.17, issue.3, pp.357-361, 1998.
DOI : 10.1109/42.712125
, On TPs2 and log-concavity, of Lecture Notes-Monograph Series, pp.54-58, 1984.
, The monotonicity of I1(x)/I0(x), Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz, vol.209, pp.35-36, 1967.
, Inequalities involving modified Bessel functions of the first kind, Journal of Mathematical Analysis and Applications, vol.171, issue.2, pp.532-536, 1992.
DOI : 10.1016/0022-247X(92)90363-I
, A quadratic majorize-minimize framework for statistical estimation with noisy rician- and noncentral chi-distributed MR images, 2013 IEEE 10th International Symposium on Biomedical Imaging, pp.712-715, 2013.
DOI : 10.1109/ISBI.2013.6556574
, A Tutorial on MM Algorithms, The American Statistician, vol.58, issue.1, pp.30-37, 2004.
DOI : 10.1198/0003130042836
, AN EM ALGORITHM FOR RICIAN FMRI ACTIVATION DETECTION, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.464-467, 2007.
DOI : 10.1109/ISBI.2007.356889
, Handbook of mathematical functions, Dover publications, 1970.
, An Expanded Theoretical Treatment of Iteration-Dependent Majorize-Minimize Algorithms, IEEE Transactions on Image Processing, vol.16, issue.10, pp.2411-2422, 2007.
DOI : 10.1109/TIP.2007.904387
, Estimation of Signal and Noise from Magnitude Magnetic Resonance Images, 1998.
, Analytically exact correction scheme for signal extraction from noisy magnitude MR signals, Journal of Magnetic Resonance, vol.179, issue.2, pp.317-322, 2006.
DOI : 10.1016/j.jmr.2006.01.016
, Analysis of noise in phase contrast MR imaging, Medical Physics, vol.23, issue.6, pp.857-869, 1996.
DOI : 10.1118/1.597729
, Optimal estimation of T2 maps from magnitude MR data, Proc. SPIE Medical, pp.384-390, 1998.
, Inequalities concerning Bessel functions and orthogonal polynomials, Proc. Indian Acad. Sci. -Section A, pp.373-384, 1951.
, Computation of modified Bessel functions and their ratios, Mathematics of Computation, vol.28, issue.125, pp.239-251, 1974.
DOI : 10.1090/S0025-5718-1974-0333287-7
, TUR??N TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS, Bulletin of the Australian Mathematical Society, vol.33, issue.02, pp.254-264, 2010.
DOI : 10.2307/1968329
, Applications of Stochastic Ordering to Wireless Communications, IEEE Transactions on Wireless Communications, vol.10, issue.12, pp.4249-4257, 2011.
DOI : 10.1109/TWC.2011.093011.110187
, Some inequalities of Bessel and modified Bessel functions, Journal of the Australian Mathematical Society, vol.15, issue.02, pp.333-342, 1991.
DOI : 10.2307/2031933
, Ordered Families of Distributions, The Annals of Mathematical Statistics, vol.26, issue.3, pp.399-419, 1955.
DOI : 10.1214/aoms/1177728487
, Decentralized Stochastic Control of Delay Tolerant Networks, IEEE INFOCOM 2009, The 28th Conference on Computer Communications, 2008.
DOI : 10.1109/INFCOM.2009.5062026
URL : https://hal.archives-ouvertes.fr/inria-00322443
, On the Monotonicity, Log-Concavity, and Tight Bounds of the Generalized Marcum and Nuttall <formula formulatype="inline"> <tex Notation="TeX">$Q$</tex></formula>-Functions, IEEE Transactions on Information Theory, vol.56, issue.3, pp.1166-1186, 2010.
DOI : 10.1109/TIT.2009.2039048
, Bounds for modified Bessel functions of the first and second kinds, Proc. Edinburgh Math. Soc. (Series 2), pp.575-599, 2010.
DOI : 10.1016/j.jmaa.2005.06.052
, Convex functions on convex polytopes, Proc. Amer, pp.867-873, 1968.
DOI : 10.1090/S0002-9939-1968-0230219-6