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In the earlier seven chapters, a detailed study on Markov process in the form of DTMC and CTMC is presented. This chapter sets out the fundamentals of the non-Markov processesNon-Markov process. Point processes, Renewal processes, and Hawkes processes are discussed in Sects. 8.1, 8.2 and 8.3, respectively. In Sects. 8.4 and 8.5, the basic concepts of the semi-Markov process and Markov regenerative process are discussed. The steady-state and transient analysis for various stochastic models has been provided.

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Point Processes and Non-Markov Processes

  • 章节

  • 发表日期：

    2025年

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  • Dharmaraja Selvamuthu

摘要

In the earlier seven chapters, a detailed study on Markov process in the form of DTMC and CTMC is presented. This chapter sets out the fundamentals of the non-Markov processesNon-Markov process. Point processes, Renewal processes, and Hawkes processes are discussed in Sects. 8.1, 8.2 and 8.3, respectively. In Sects. 8.4 and 8.5, the basic concepts of the semi-Markov process and Markov regenerative process are discussed. The steady-state and transient analysis for various stochastic models has been provided.