  In this research paper, the relationship between finite / countable state
space stochastic processes and point processes is explored. Utilizing the known
relationship between Poisson processes and continuous time Markov chains,
finite / countable state space random processes are related to continuous time
Markov Chains. Based on the known results for binary random processes,
characterization of auto-correlation function of finite state space random
processes is explored. An important characterization of corner positive
definite matrices is provided.
