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Estimation of Pareto Parameters by Numerical Methods

  • W. Lyle Cook
  • Dean C. Mumme
Part of the NATO Advanced study Institutes Series book series (ASIC, volume 79)

Summary

For the case when neither of the parameters of a Pareto distribution is known, an iterative process on the unbiased maximum likelihood estimators is investigated. Results from randomly generated samples are compared with other methods of estimation.

Key Words

Pareto distribution estimation numerical approximation 

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References

  1. Hastings, N.A.J., Peacock, J.B. (1975). Statistical Distributions. Wiley, New York.Google Scholar
  2. Johnson, N.L., Kotz, S. (1970). Distributions in Statistics-Continuous Univariate Distributions - 1. Wiley, New York.Google Scholar
  3. Malik, H.J. (1970). Estimation of the parameters of the Pareto distribution. Metrika, 16, 126–132.MathSciNetCrossRefGoogle Scholar
  4. Quandt, R. E. (1966). Old and new methods of estimation and the Pareto distribution. Metriak, 10, 55–82.MathSciNetCrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company 1981

Authors and Affiliations

  • W. Lyle Cook
    • 1
  • Dean C. Mumme
    • 1
  1. 1.Department of MathematicsIdaho State UniversityPocatelloUSA

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