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Quotas on runs of successes and failures in a multi-state markov chain
Authors:Nikolai Kolev  Leda Minkova
Institution:Department of Statistics -IME , Sāo Paulo University Institute of Mathematics and Informatics. Bulg. Acad. Sci , C.P. 66281, Sāo Paulo , CP , 66281 , Brazil
Abstract:For the time-homogeneous multi-state Markov chain {Xn,n≧0} with states labeled as "0" (success) and "f"(failure), f=1,2,… the waiting time problems to be discussed arise by setting quotas on runs of success and failures. Some particular cases are considered.
Keywords:joint probability generating function  sooner and later waiting time problems  time homogeneous multi-state Markov chain  recursion  run quota
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