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Testing Equality of Mean Vectors in Two Sample Problem with Missing Data
Authors:Nobumichi Shutoh  Makiko Kusumi  Wataru Morinaga  Shunichi Yamada
Affiliation:1. Department of Mathematical Information Science, Graduate School of Science , Tokyo University of Science , Tokyo, Japan;2. Photogenic Corp. , Yokohama, Japan
Abstract:Finding the influence of traffic accident on the road is helpful to analyze the characteristics of traffic flow, and take reasonable and effective control measures. Here, the detrended fluctuation analysis method is applied to investigate the complexity of time series in mixed traffic flow with a blockage induced by an accident. As a parameter to depict the long-term evolutionary behavior of the time series in traffic flow, the scaling exponent is analyzed. According to the scaling exponent, it is shown that the traffic flow time series can display long-range correlation characteristics, short-range correlation characteristics, and non-power-law relation in the long-range correlation characteristics, which is strongly dependent on the entering probability of vehicle, the ratio of slow vehicle and the blockage duration time.
Keywords:Behrens–Fisher Problem  Hotelling's T 2 test  Likelihood ratio test  Monte Carlo simulation  Simultaneous confidence intervals
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