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On the estimation in a class of diffusion-type processes. Aplication for diffusion branching processes.

Manuel Molina FernándezAurora Hermoso Carazo — 1990

Extracta Mathematicae

In this work a family of stochastic differential equations whose solutions are multidimensional diffusion-type (non necessarily markovian) processes is considered, and the estimation of a parametric vector θ which relates the coefficients is studied. The conditions for the existence of the likelihood function are proved and the estimator is obtained by continuously observing the process. An application for Diffusion Branching Processes is given. This problem has been studied in some special cases...

On the estimation of the drift coefficient in diffusion processes with random stopping times.

This paper considers stochastic differential equations with solutions which are multidimensional diffusion processes with drift coefficient depending on a parametric vector θ. By considering a trajectory observed up to a stopping time, the maximum likelihood estimator for θ has been obtained and its consistency and asymptotic normality have been proved.

Fuzzy approach for data association in image tracking.

Julio GarcíaJosé Manuel MolinaJuan Alberto BesadaJavier I. Portillo — 2003

Mathware and Soft Computing

A fuzzy system has been developed to ponder update decisions both for the trajectories and shapes estimated for targets. It is embedded in an A-SMGCS Surveillance function for airport surface, based on video data processing, in charge of the automatic detection, identification and tracking of all interesting targets (aircraft and relevant ground vehicles). The tracking system captures a sequence of images, preprocesses them to extract the moving regions (blobs), and associates the blobs to tracks...

Applying fuzzy logic in video surveillance systems.

In this work, the application of fuzzy logic in surveillance systems based on cameras is analyzed. Three different fuzzy systems have been tested and compared with a crisp decision system. The first one has been developed using an expert knowledge, the second one was learned from recorded videos, and a third one is developed as a refinement taking into account evaluation with ground truth. In all cases, the core of the system is the association function, in which the developed fuzzy system takes...

On the Extinction Probability for Bisexual Branching Processes in Varying Environments

Molina, ManuelMota, ManuelRamos, Alfonso — 2003

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 60J80 In this paper, the bisexual branching process in varying environments introduced in [9] is considered and some sufficient conditions for the existence of positive probability of non-extinction are established. Research supported by the Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica, grant BFM2000-0356 and the Consejería de Educación, Ciencia y Tecnología de la Junta de Extremadura and the Fondo...

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