Propagation Models and Fitting Them for the Boolean Random Sets

Journal of Optimization in Industrial Engineering

مقاله 6، Volume 2، Issue 3، تیر 2009، صفحه 45-48   

نویسندگان

mojtaba Khazaei¹؛ Khalil Shafie²

¹Assistant Professor, Department of Statistics, Shahid Beheshti University G.C., Tehran, IRAN.

²Associate Professor, University of Northern Colorado, Colorado, USA.

چکیده

In order to study the relationship between random Boolean sets and some explanatory variables, this paper introduces a Propagation model. This model can be applied when corresponding Poisson process of the Boolean model is related to explanatory variables and the random grains are not affected by these variables. An approximation for the likelihood is used to find pseudo-maximum likelihood estimates of propagation model parameters when the grains are nonrandom circle with unknown radii.

کلیدواژه‌ها

Boolean model؛ hitting functional؛ lower positive tangent points؛ Poisson point process؛ random closed set