Models for space–time random functions

Random regression models for estimation of covariance functions of growth in Iranian Kurdi sheep

Body weight (BW) records (n=11,659) of 4961 Kurdi sheep from 215 sires and 2085 dams were used to estimate the additive genetic, direct and maternal permanent environmental effects on growth from 1 to 300 days of age. The data were collected from 1993 to 2015 at a breeding station in North Khorasan province; Iran. Genetic parameters for growth traits were estimated using random regression test-...

Propagation Models and Fitting Them for the Boolean Random Sets

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 esti...

Matrix Models for Spacetime Topodynamics

The machinery is suggested to describe the varying spacetime topology on the level of its substitutes by finite topological spaces. Introduction The approximations of (or substitutes for) continuous spacetime by finitary structures are studied in this paper. The results presented furnish a framework in which one might express such ideas as variable spacetime topology or, for instance, the topol...

Stochastic Modelling Probability Theory of Random Functions Random Variables Random Functions Spectral Representation of Random Functions Isotropic Incompressible Random Functions Transformations of Random Functions Derivation of Stochastic Models Quasi Homogeneous Random Functions Filtering of Random Functions

Convex Functions and Spacetime Geometry

Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime (M, gμν) or an initial data set (Σ, hij , Kij) admitting a suitably defined convex function. We show how the existence of a convex function on a spacetime places restrictions on the properties...