Sequential Cox Boolean and Conditional Dead Leaves Models

Abstract

New versions of the Boolean RACS and RF, as well as the Dead Leaves random tessellations and Color Dead Leaves are obtained by imposing conditions on the choice of primary grains and primary functions, depending on the location of sequential Poisson points. These models are iteratively generated by a time sequence of Cox Processes. Their probabilistic properties and simplified closed-form approximations are derived. Some simulations illustrate the models.