Approximation of probability distribution functions by Coxian distribution to evaluate multimedia systems.
Systems and Computers in Japan(2004)
Abstract
It has been reported in several studies that the probability distribution functions for interarrival times of tasks in multimedia systems cannot be represented by traditional probability distribution functions, such as exponential ones.In this paper we propose an approximation method, based on the Coxian distribution function, to calculate the probability distribution functions used in analyzing multimedia systems. Although the Coxian function can represent arbitrary distribution functions, it is difficult to determine their parameters directly from a given distribution function. In this work, this drawback is remedied by first approximating the given distribution function with a linear combination of Erlang function, and then converting it to a Coxian function. We also present examples of the approximation and evaluate its accuracy. © 2004 Wiley Periodicals, Inc. Syst Comp Jpn, 35(2): 16–24, 2003; Published online in Wiley InterScience (). DOI 10.1002/scj.10446
MoreTranslated text
Key words
distribution function,probability distribution function,Coxian function,multimedia system,Coxian distribution function,arbitrary distribution function,traditional probability distribution function,Erlang function,Wiley InterScience,Wiley Periodicals
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined