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5 - Halphen Inverse B Distribution

Published online by Cambridge University Press:  13 April 2022

Vijay P. Singh
Affiliation:
Texas A & M University
Lan Zhang
Affiliation:
University of Akron, Ohio
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Summary

The Halphen type inverse B (Hal-IB) distribution is obtained from the Halphen type B distribution. This chapter discusses the derivation of the Hal-IB distribution and its characteristics and the estimation of its parameters using the methods of maximum entropy, moments, and maximum likelihood.

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Publisher: Cambridge University Press
Print publication year: 2022

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References

Perreault, L., Bobée, B., and Rasmussen, P. (1999). Halphen distribution system. I: Mathematical and statistical properties. Journal of Hydrologic Engineering, Vol. 4, No. 3, pp. 189199.Google Scholar
Shannon, C.E. (1948). A mathematical theory of communication. Bell System Technical Journal, Vol. 27, No. 3, pp. 379423.CrossRefGoogle Scholar
Singh, V.P. (2011). Hydrologic synthesis using entropy theory: Review. Journal of Hydrologic Engineering, Vol. 16, No. 5, pp. 421433.CrossRefGoogle Scholar
Singh, V.P. (2013). Entropy Theory and Its Application in Environmental and Water Engineering. Wiley-Blackwell, Hoboken, NJ.Google Scholar

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  • Halphen Inverse B Distribution
  • Vijay P. Singh, Texas A & M University, Lan Zhang, University of Akron, Ohio
  • Book: Generalized Frequency Distributions for Environmental and Water Engineering
  • Online publication: 13 April 2022
  • Chapter DOI: https://doi.org/10.1017/9781009025317.006
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  • Halphen Inverse B Distribution
  • Vijay P. Singh, Texas A & M University, Lan Zhang, University of Akron, Ohio
  • Book: Generalized Frequency Distributions for Environmental and Water Engineering
  • Online publication: 13 April 2022
  • Chapter DOI: https://doi.org/10.1017/9781009025317.006
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Halphen Inverse B Distribution
  • Vijay P. Singh, Texas A & M University, Lan Zhang, University of Akron, Ohio
  • Book: Generalized Frequency Distributions for Environmental and Water Engineering
  • Online publication: 13 April 2022
  • Chapter DOI: https://doi.org/10.1017/9781009025317.006
Available formats
×