Stochastic ordering of random processes with an imbedded point process

Nonequilibrium Dynamics of Stochastic Point Processes with Refractoriness Nonequilibrium Dynamics of Stochastic Point Processes with Refractoriness

Stochastic point processes with refractoriness appear frequently in the quantitative analysis of physical and biological systems, such as the generation of action potentials by nerve cells, the release and reuptake of vesicles at a synapse, and the counting of particles by detector devices. Here we present an extension of renewal theory to describe ensembles of point processes with time varying...

Partial ordering in theory of stochastic processes.

14A sample of thymidine was kindly furnished by Dr. E. E. Snell. 16 Stokstad, E. L. R., J. Biol. Chem., 139, 475 (1941). 16 Stokes, J. L., J. Bact., 48, 201 (1944). 17 Snell, E. E., and Mitchell, H. K., PROC. NATL. ACAD. ScI., 27, 1 (1941). 18 Barnes, F. W., and Schoenheimer, R., J. Biol. Chem., 151, 123 (1943). 19 Sonne, J. C., Buchanan, J. M., and Deluva, A. M., Ibid., 173, 69 (1948). 2 Bucha...

Random fixed point theorems with an application to a random nonlinear integral equation

In this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. We discuss also the existence of a solution to a nonlinear random integral equation in Banah spaces.

Stochastic Evolutions of Point Processes

The asymptotic behavior of birth and death processes of particles in a compact space is analyzed. Births: Particles are created at rate λ+ and their location is independent of the current configuration. Deaths are due to negative particles arriving at rate λ − . The death of a particle occurs when a negative particle arrives in its neighborhood and kills it. Several killing schemes are consider...

Multidimensional Stochastic Ordering and Associated Random Variables