JSTOR Daily

A Theorem on Compositions of Random Probability Generating Functions and Applications to Branching Processes with Random Environments

This is a preview. Log in through your library . Abstract The results of this paper deal directly with the behavior of compositions of random probability generating functions. These results are then ...
JSTOR Daily

On Generating Functions of Waiting Times and Numbers of Occurrences of Compound Patterns in a Sequence of Multistate Trials

Journal of Applied Probability, Vol. 44, No. 1 (Mar., 2007), pp. 71-81 (11 pages) In this paper we study two distributions, namely the distribution of the waiting times until given numbers of ...
Scientific Research Publishing

Darroch, J.N. and Morris, K.W. (1967) Some Passage-Time Generating Functions for Discrete-Time and Continuous-Time Finite Markov Chains. Journal of Applied Probability, 4, 496-507.

ABSTRACT: We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a ...
Scientific Research Publishing

Darroch, J.N. and Morris, K.W. (1968) Passage-Time Generating Functions for Continuous-Time Finite Markov Chains. Journal of Applied Probability, 5, 414-426.

ABSTRACT: We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a ...