Waiting Time Problems for Patterns in a Sequence of Multi-State Trials

In this paper, we investigate waiting time problems for a finite collection of patterns in a sequence of independent multi-state trials. By constructing a finite GI/M/1-type Markov chain with a disaster and then using the matrix analytic method, we can obtain the probability generating function of t...

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Bibliographic Details
Main Authors: Bara Kim, Jeongsim Kim, Jerim Kim
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/11/1893