Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise
Pairwise likelihood inference for ordinal categorical time series
Computational Statistics & Data Analysis
Exponential families of mixed Poisson distributions
Journal of Multivariate Analysis
Image change detection algorithms: a systematic survey
IEEE Transactions on Image Processing
Bivariate Gamma Distributions for Image Registration and Change Detection
IEEE Transactions on Image Processing
Change Detection in Multisensor SAR Images Using Bivariate Gamma Distributions
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
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Estimating the parameters of multivariate mixed Poisson models is an important problem in image processing applications, especially for active imaging or astronomy. The classical maximum likelihood approach cannot be used for these models since the corresponding masses cannot be expressed in a simple closed form. This paper studies a maximum pairwise likelihood approach to estimate the parameters of multivariate mixed Poisson models when the mixing distribution is a multivariate Gamma distribution. The consistency and asymptotic normality of this estimator are derived. Simulations conducted on synthetic data illustrate these results and show that the proposed estimator outperforms classical estimators based on the method of moments. An application to change detection in low-flux images is also investigated.