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This rate variable is a random variable that is distributed according to a distribution function with non-negative domain and unit mean, typically, the unit-mean gamma distribution.
Poisson distribution, in statistics, a distribution function useful for characterizing events with very low probabilities of occurrence within some definite time or space.
Let be a distribution function.
First, we prove that (widetilde{G}^) is a distribution function.
Let be a distribution function such that and.
This shows that (D^_{A}(t)) is a distribution function.
The result is a density and a distribution function.
Let, X1, X2,..., X n be independent random variables with a distribution function F n (x).
If A is a generalized probabilistically bounded set, then (D^_{A}) is a distribution function.
Let be a distribution function on such that and for all.
Thus, it is imperative to characterise the vehicle time headways statistically using a distribution function.
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