Taboo probabilities in Markov chains with a discrete parameter and a stationary transition matrix

The purpose of this paper is to present some theorems and properties of taboo probabilities in discrete parameter Markov chains in the natural order of their development. It is then anticipated that additional properties of Markov chains in general might come forth as a consequence of the tools presented here. However, it will be left to others to make specific physical applications. Kai Lai Chung is the most noted authority in this area. The author is indebted to Chung for the material gleaned from his Markov Chains with Stationary Transition Probabilities. The author wishes to express his gratitude to Dr. George W. Batten, Junior, for going far beyond the extent of his duties in giving assistance and advice.Mathematics, Department o