2021
DOI: 10.3390/math9192490
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Markov and Semi-Markov Chains, Processes, Systems, and Emerging Related Fields

Abstract: Probability resembles the ancient Roman God Janus since, like Janus, probability also has a face with two different sides, which correspond to the metaphorical gateways and transitions between the past and the future[...]

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Cited by 6 publications
(4 citation statements)
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“…However, an important fact ignored by current research is that the Pearson correlation coefficient between traffic flow samples is actually distributed in a large range [0. 4,1]. This shows that the correlation strength of traffic flow samples fluctuates greatly with different detectors and weekdays.…”
Section: Correlation Analysis Of Traffic Flow Datamentioning
confidence: 87%
See 1 more Smart Citation
“…However, an important fact ignored by current research is that the Pearson correlation coefficient between traffic flow samples is actually distributed in a large range [0. 4,1]. This shows that the correlation strength of traffic flow samples fluctuates greatly with different detectors and weekdays.…”
Section: Correlation Analysis Of Traffic Flow Datamentioning
confidence: 87%
“…Navigation map can only collect traffic information by acquiring users' basic information, but it obviously can't describe the real traffic. According to the characteristics of the expressway system, the expressway company can use its own system data to perfectly describe the real-time operation status of the road network, and provide a more reasonable and feasible vehicle path planning application [1].…”
Section: Introductionmentioning
confidence: 99%
“…However, in the classification phase, a deviation arises. While [17] solely focuses on the calculation of a posteriori probabilities for a given observed connection within each Markovian model, ref. [18] expands upon this by con-sidering both directions of the TCP connection.…”
Section: State Of the Artmentioning
confidence: 99%
“…In this respect, it is well known that semi-Markov processes are among the most important modeling techniques for real-world issues in diverse applied fields, like reliability, financial mathematics, earthquake studies, bioinformatics, etc. (see, e.g., [2][3][4][5]). Furthermore, there are valuable theoretical reasons supporting the semi-Markov choice.…”
Section: Introductionmentioning
confidence: 99%