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We investigate the stability problem for a nonlinear autoregressive model with Markov switching. First we give conditions for the existence and the uniqueness of a stationary ergodic solution. The existence of moments of such a solution is then examined and we establish a strong law of large numbers for a wide class of unbounded functions, as well as a(More)
The aim of this work is to model the apparent motion in image sequences depicting natural dynamic scenes (rivers, sea-waves, smoke, fire, grass etc) where some sort of stationarity and homogeneity of motion is present. We adopt the mixed-state Markov Random Fields models recently introduced to represent so-called motion textures. The approach consists in(More)
We present new probabilistic motion models of interest for the detection of meaningful dynamic contents (or events) in videos. We separately handle the dominant image motion assumed to be due to the camera motion and the residual image motion related to scene motion. These two motion components are then represented by different probabilistic models which(More)
Northeast Normal University, China, Université de Rennes 1, France and The University of Hong Kong, China Abstract: Modern Random Matrix Theory indicates that when the population size p is not negligible with respect to the sample size n, the sample covariance matrices demonstrate significant deviations from the population covariance matrices. In order to(More)
This paper presents a supervised method for detecting relevant events in videos, based on the analysis of their dynamic content. For generality and efficiency purposes, motion information is captured from simple motion-related measurements. Moreover, it is decomposed into dominant and residual image motion. The measurements are then represented by(More)
In image motion analysis as well as for several application fields like daily pluviometry data modeling, observations contain two components of different nature. A first part is made with discrete values accounting for some symbolic information and a second part records a continuous (real-valued) measurement. We call such type of observations “mixedstate(More)
The aim of this study was to explore the success rates and high risk factors for endoscopic retrograde cholangiopancreatography (ERCP) biliary metallic stenting after self-expandable metallic stent (SEMS) implantation in patients with malignant duodenal stricture. A retrospective cohort study was conducted. Forty-two unresectable patients with malignant(More)
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