Econometric foundations
Generalized method for sampling spatially correlated heterogeneous speckeled imagery
EURASIP Journal on Applied Signal Processing
Robust estimation in very small samples
Computational Statistics & Data Analysis
Improved estimation of clutter properties in speckled imagery
Computational Statistics & Data Analysis
M-estimators of roughness and scale for GA0-modelled SAR imagery
EURASIP Journal on Applied Signal Processing
Polarimetric SAR image segmentation with B-splines and a new statistical model
Multidimensional Systems and Signal Processing
Dealing with monotone likelihood in a model for speckled data
Computational Statistics & Data Analysis
Original Articles: Nonparametric edge detection in speckled imagery
Mathematics and Computers in Simulation
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This paper deals with numerical problems arising when performing maximum likelihood parameter estimation in speckled imagery using small samples. The noise that appears in images obtained with coherent illumination, as is the case of sonar, laser, ultrasound-B, and synthetic aperture radar, is called speckle, and it can be assumed neither Gaussian nor additive. The properties of speckle noise are well described by the multiplicative model, a statistical framework from which stem several important distributions. Amongst these distributions, one is regarded as the universal model for speckled data, namely, the g0 law. This paper deals with amplitude data, so the gA0 distribution will be used. The literature reports that techniques for obtaining estimates (maximum likelihood, based on moments and on order statistics) of the parameters of the gA0 distribution require samples of hundreds, even thousands, of observations in order to obtain sensible values. This is verified for maximum likelihood estimation, and a proposal based on alternate optimization is made to alleviate this situation. The proposal is assessed with real and simulated data, showing that the convergence problems are no longer present. A Monte Carlo experiment is devised to estimate the quality of maximum likelihood estimators in small samples, and real data is successfully analyzed with the proposed alternated procedure. Stylized empirical influence functions are computed and used to choose a strategy for computing maximum likelihood estimates that is resistant to outliers.