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The main goal of this work is to study and analyze the behavior of the network data traffic of the University of Dhaka and to characterize it by measuring some specific parameters of the self similar traffic model of University of Dhaka (DU). A number of tests and analyses were performed on the data collected from the University of Dhaka Internet Gateway router and both the busy hour traffic and non-busy hour traffic are brought under experimentation. Visual tests as well as statistical experimentations are performed on the collected data and the conclusions are supported by rigorous statistical analyses of about 75 millions of data packets of high quality Ethernet traffic collected between Aug'07 and March'08. Both the visual test and statistical experimentations are successfully able to estimate several parameters of the internet traffic and characterizing it thereby. The Matlab codes written during this work are also proposed to be used as an excellent tool for analyzing any other network traffic.