Analysis of the Pareto Model for Error Statistics on Telephone Circuits

A statistical model for the occurrence of errors in data transmission over telephone circuits was recently proposed by Berger and Mandelbrot. In their model the intervals between successive errors are distributed independently according to the Pareto distribution t^{-\alpha} . This paper presents an...

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Bibliographic Details
Published in:I.R.E. transactions on communications systems 1963-06, Vol.11 (2), p.213-221
Main Author: Sussman, S.
Format: Article
Language:English
Subjects:
Circuits
Data communication
Error analysis
Error correction codes
Mathematical model
Modems
Pareto analysis
Probability
Statistical distributions
Telephony
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Summary:A statistical model for the occurrence of errors in data transmission over telephone circuits was recently proposed by Berger and Mandelbrot. In their model the intervals between successive errors are distributed independently according to the Pareto distribution t^{-\alpha} . This paper presents an analysis based on the Pareto model and compares the results with published measurements on telephone networks. Statistics, such as the probability of zero, one or two errors in a block of digits, and the probability of error-free transmission runs for no-error correction or single-error correction codes are derived. Comparison with experiments indicates that the Pareto distribution provides an excellent representation of the error statistics.
ISSN:0096-1965
0096-2244
1558-2647
DOI:10.1109/TCOM.1963.1088745