Waiting Time Distributions of Patterns Involving Homogenous Markov Dependent Trials: GERT Approach

摘要：

Probability generating functions of waiting time distributions of runs and patterns have been studied and utilized in various areas of statistics and applied probability. In this paper, we investigate the probability generating functions of the waiting time distributions of lst and mth overlapping and non-overlapping occurrences of the pattern Ak = SFF...FS > i.e.,Pair of successes separated by a run of failures of length , k > 0, involving Homogenous Markov dependent trials using Graphical Evaluation and Review Technique (GERT). GERT besides providing visual picture of the process helps to analyze it in a less inductive manner.

关键词： Patterns Overlapping Non-overlapping Waiting Time Distribution Homogenous Markov Dependence GERT

作者: POOJA MOHAN KANWAR SEN MANJU LATA AGARWAL

作者单位: RMSI Pvt Ltd., Sector-16, Noida, 201301, U.P. India. c/o Department of Statistics, University of Delhi, Delhi - 110007, India Mathematical Sciences Foundation, 45, Ground Floor, WTC, Babar Road, New Delhi-110001, India.

会议类型: 国际会议

会议名称: The 7th Inyernational Conference on Mathematical Methods in Reliability:Theory,Methods,Applications(第七届国际可靠性数学、理论、方法与应用会议 MMR2011)

会议地点: 北京

会议语种:英文

页码: 935-941

在线出版日期: 2011-06-20（万方平台首次上网日期，不代表论文的发表时间）