On the estimation in a class of diffusion-type processesapplication for diffusion Branching Processes
- Hermoso Carazo, Aurora
- Molina Fernández, Manuel
ISSN: 0213-8743
Año de publicación: 1990
Volumen: 5
Número: 3
Páginas: 109-111
Tipo: Artículo
Otras publicaciones en: Extracta mathematicae
Resumen
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 ? 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 by Brown and Hewitt (1975), Liptser and Shiryayev (1978) and Sorensen (1983).