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Pareto Distribution

  1. A. Childs,
  2. N. Balakrishnan

Published Online: 15 JUL 2005

DOI: 10.1002/0470011815.b2a15114

Encyclopedia of Biostatistics

Encyclopedia of Biostatistics

How to Cite

Childs, A. and Balakrishnan, N. 2005. Pareto Distribution. Encyclopedia of Biostatistics. 6.

Author Information

  1. McMaster University, Hamilton, Ontario, Canada

Publication History

  1. Published Online: 15 JUL 2005

Abstract

The classical Pareto distribution of the first kind has density function of the form 1–(x/σ)−ν. Pareto distributions of the second, third, and fourth kind involve extra parameters. The second kind arises as a gamma mixture of exponential distributions, and has been used in survival analysis. A multivariate generalization is described.

Keywords:

  • survival analysis;
  • mixture;
  • gamma;
  • exponential;
  • frailty