Paper Info
Title
Estimates of distributions of random variables for certain computer communications traffic models
Abstract
A study of multiaccess computer communications has characterized the distributions underlying an elementary model of the user-computer interactive process. The model used is elementary in the sense that many of the random variables that generally are of interest in computer communications studies can be decomposed into the elements of this model. Data were examined from four operational multiaccess systems, and the model is shown to be robust; that is, each of the variables of the model has the same distribution independent of which of the four systems is being examined. It is shown that the gamma distribution can be used to describe each of the continuous variables of the model, and that the geometric distribution can be used to describe the discrete variables. Approximations to the gamma distribution by the exponential distribution are discussed for the systems studied.
Year
DOI
Venue
1970
10.1145/362814.362830
Communications of The ACM
Keywords
Field
DocType
elementary model,operating systems,gamma distribution,computer communications study,computer communications,continuous variable,exponential distribution,multiaccess computer communication,discrete variable,time-sharing,random variable,geometric distribution,operational multiaccess system,optimization models,certain computer communications traffic,queuing models
Applied mathematics,Mixture distribution,Erlang distribution,Computer science,Simulation,Generalized integer gamma distribution,Exponential distribution,Gamma distribution,Sum of normally distributed random variables,Marginal distribution,Probability integral transform
Journal
Volume
Issue
ISSN
13
12
0001-0782
Citations 
PageRank 
References 
64
203.52
12
Authors
2
Name
Order
Citations
PageRank
E. Fuchs164203.52
P. E. Jackson297535.27