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Counting Process

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Traffic and Random Processes
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Abstract

The random process of counts has been introduced in the previous Sect. 1.2.1.Counting process and time headway process in traffic play a central role in highway design and control.

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Notes

  1. 1.

    To calculate s2 we have used the expression \( {\text{s}}^{2} = ({\text{m}}_{2} - {\bar{\text{x}}}^{2} \cdot {\text{N}})/({\text{N}} - 1) \) where \( {\text{m}}_{2} = \sum {{\text{x}}_{\text{i}}^{2} } \cdot {\text{f}}_{\text{i}} \) is the sample second moment.

  2. 2.

    With flow = 7.469 veh/15 s \( \cong \) 1800 veh/h, through indications in Table 5.3, we obtain \( {\text{k}} = 3 \) in place of \( {\text{k}} = 2 \). This difference in determining the numerical value of the same parameter arises quite frequently when statistical procedures of different origin are used in treating the same dataset. Quite obviously, the final model estimation is made by implementing a parameter suitable to find the model which at its best provides a close approximation to the measured counting distribution.

References

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Correspondence to Raffaele Mauro .

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Mauro, R. (2015). Counting Process. In: Traffic and Random Processes. Springer, Cham. https://doi.org/10.1007/978-3-319-09324-6_5

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  • DOI: https://doi.org/10.1007/978-3-319-09324-6_5

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