A New Model for Error Clustering in Telephone Circuits

@article{Berger1963ANM,
  title={A New Model for Error Clustering in Telephone Circuits},
  author={Jay Manton Berger and Benoit B. Mandelbrot},
  journal={IBM Journal of Research and Development},
  year={1963},
  volume={7},
  pages={224-236}
}
This paper proposes a new mathematical model to describe the distribution of the occurrence of errors in data transmission on telephone lines. We suggest: a) that the statistics of telephone errors can be described in terms of an error probability depending solely on the time elapsed since the last occurrence of an error; b) that the distribution of inter-error intervals can be well approximated by a law of Pareto of exponent less than one; the relative number of errors and the equivocation… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 11 references

Random Walk to appear

  • G. L. Gerstein, B. Mandelbrot
  • Mathematical Approaches in the Social Sciences
  • 1963

Very long-tailed probability distributions and the empirical distribution of city sizes,

  • B. Mandelbrot
  • Massarik and P. Ratoosh,
  • 1963

Paretian distributions and income maximization,

  • B. Mandelbrot
  • Quart. J . of Economics,
  • 1962

The variation of certain speculative prices,” to be published as a book (a draft, designated as IBM Research Note NC-87, was circulated in March 1962, but is now out of print)

  • B. Mandelbrot
  • 1962

Capacity of a Burst-Noise Channel,

  • E. N. Gilbert
  • Bell System Tech. J
  • 1961

Error Statistics ceedings of the 1960 American Mathematical Society and Coding for Binary Transmission over Telephone Circuits

  • R. G. Gallagher
  • Proc . IRE
  • 1961

Statistics of Hyperbolic Error Distributions in Data Transmission,

  • P. Mertz
  • IRE Trans. on Communications Systems,
  • 1961

The Pareto-Levy law and the distribution of income,

  • B. Mandelbrot
  • International Economic Review,
  • 1960

Variables et processus tochastiques de Pareto-L6vy et la &partition des revenus,

  • B. Mandelbrot
  • Compt. rendus de I’Acadkmie des Sciences de Paris…
  • 1959

An Zntroduction to the Theory of Probability and its Applications, Vol. 1, 2nd edition

  • W. Feller
  • 1957

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