SOME LIMIT PROPERTIES OF RANDOM PATH CONDITIONAL PROBABILITY FOR PATH PROCESS INDEXED BY A TREE
Han Da-zha · Journal of Mathematics · 2015
In this paper,some strong limit theorems relative to the geometric average and occurred frequency of states for path process indexed by a tree were studied.The definition of the path process indexed by a tree was introduced to propose a lemma.Some strong limit theorems relative to the geometric average of random path conditional probability with inequality for path process indexed by a tree was established,and some strong limit theorems relative to occasional occurred frequency of states with inequality for path process indexed by a tree was deduced.As corollary,random conditional probability for nonhomogeneous Markov chains indexed by a tree was achieved.