## A Traffic Counting DistributionInstitute of Transportation and Traffic Engineering, University of California, 1961 - Traffic estimation - 9 pages A traffic counting distribution is derived in which a minimum spacing or headway between units of traffic is taken into account. A comparison is made between this probability distribution and the Type I Counter distribution derived by W. Feller (On Probability Problems in the Theory of Counters, Interscience Publishers 1948, p. 105). Explicit expressions are derived for the mean and variance of count as well as the probability that the interval of interest is completely filled by vehicles. (Author). |

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arguments average and variance average count corresponding counting counting distribution counting origin counting the maximum cumulative data were obtained derived discrete distribution of equation distribution of intervehicle distribution p,,(y equal event is less experimental curves exponential expression for P(s;z FELLER ﬁnd ﬁnite ﬁrst fraction of cars function Gamma HAIGHT headway between units headways greater Highway integral interevent distribution interval of length intervehicle spacings inverse transform KINZBRUNER Lane Laplace transform Math maximum number mean count mean ratio minimum headway minimum spacing Opns pack passing plot Poisson probability density distribution probability distribution probability of maximum PROBABILITY OF MAXIMUM-PACK randomly chosen Reprinted Road Traffic seconds solutions of equation spacing between units spacing or headway starts to count Statistical Analysis taken into account Theory Thesis tion trafﬁc TRAFFIC COUNTING traffic is taken traﬂic tributions units of traffic variance to mean variance versus vehicle velocity versus the mean zero