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9 - Kappa 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 kappa distribution has been applied to study the frequency of hydrological events. This chapter discusses the kappa distribution and its parameter estimation using the methods of entropy, maximum likelihood, and moments.

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Publisher: Cambridge University Press
Print publication year: 2022

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References

Dupuis, D.J. and Winchester, C. (2001). More on the four-parameter kappa distribution. Journal of Statistical Computation and Simulation, Vol. 71, No. 2, pp. 99113, DOI: 10.1080/00949650108812137.CrossRefGoogle Scholar
Greenwood, J.A., Landwehr, J.M., and Matalas, N.C. (1979). Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form. Water Resources Research, Vol. 15, pp. 10491054.CrossRefGoogle Scholar
Hosking, J.R.M. (1990). L-moments: Analysis and estimation of distributions using linear combination of order statistics. Journal of the Royal Statistical Society, Series B Vol. 52, No. 1, pp. 105124.Google Scholar
Hosking, J.R.M. (1994). The four-parameter kappa distribution. IBM Journal of Research and Development, Vol. 38, No. 3, pp. 251258.CrossRefGoogle Scholar
Murshed, M., Seo, Y., and Park, J.-S. (2014). LH-moment estimation of a four parameter kappa distribution with hydrologic applications. Stochastic Environmental Research and Risk Assessment, Vol. 28, pp. 253262.CrossRefGoogle Scholar
Parida, B.P. (1999). Modelling of Indian summer monsoon rainfall using a four-parameter kappa distribution. International Journal of Climatology, Vol. 19, pp. 13891398.Google Scholar
Park, J.-S. and Park, B.J. (2002). Maximum likelihood estimation of the four-parameter Kappa distribution using the penalty method. Computers & Geosciences, Vol. 28, No. 1, pp. 6568. DOI: 10.1016/S0098-3004(1)00069-3.Google Scholar
Singh, V.P. and Deng, Z.Q. (2003). Entropy-based parameter estimation for kappa distribution. Journal of Hydrologic Engineering, Vol. 8, No. 2, pp. 8192. DOI: 10.1061/(ASCE)1084-0699(2003)8:2(81).CrossRefGoogle Scholar

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  • Kappa 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/10.1017/9781009025317.010
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  • Kappa 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/10.1017/9781009025317.010
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.

  • Kappa 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/10.1017/9781009025317.010
Available formats
×