Markov Chain Models -- Rarity and Exponentiality.
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
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This study has three goals. The first is the presentation of working tools needed to quantify the behavior of finite Markov chains in discrete and continuous time when the chain has many degrees of freedom. The second goal is the development in detail of topics, surrounding reversibility in time, a basic key to tractability. Finally emphasis is given to rarity and exponentiality, i.e., to the limit theorems concerning these, to measures of exponentiality and error bounds associated with such measures, and to the quantification of departures from exponentiality in failure time distributions for systems modeled by finite chains.
- Operations Research