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Half Logistic Generalized Rayleigh Distribution for Modeling Hydrological Data

Author

Listed:
  • Adebisi A. Ogunde

    (University of Ibadan)

  • Subhankar Dutta

    (Vellore Institute of Technology, Chennai Campus)

  • Ehab M. Almetawally

    (Delta University for Science and Technology)

Abstract

This article introduced a three-parameter extension of the Generalized Rayleigh distribution called half-logistic Generalized Rayleigh distribution, which has submodels the Generalized Rayleigh and Rayleigh distribution. The proposed model is quite flexible and adaptable to model any kind of life-time data. Its probability density function may sometimes be unimodal and its corresponding hazard rate may be of monotone or non-monotone shape. Standard statistical properties such as it ordinary and incomplete moments, quantile function, moment generating function, reliability function, stochastic ordering, order statistics, Renyi, and $${\varvec{\delta}}$$ δ -entropy are obtained. The maximum likelihood method is used to obtain the estimates of the model parameters. Two practical examples of hydrological data sets are presented.

Suggested Citation

  • Adebisi A. Ogunde & Subhankar Dutta & Ehab M. Almetawally, 2025. "Half Logistic Generalized Rayleigh Distribution for Modeling Hydrological Data," Annals of Data Science, Springer, vol. 12(2), pages 667-694, April.
    • Handle: RePEc:spr:aodasc:v:12:y:2025:i:2:d:10.1007_s40745-024-00527-2
    DOI: 10.1007/s40745-024-00527-2
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