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A New Generalization of the Fréchet Distribution: Properties and Application

Author

Listed:
  • Jayakumar Kuttan Pillai

    (Department of Statistics, University of Calicut)

  • Girish Babu Moolath

    (Department of Statistics, Government Arts and Science College, Meenchanda)

Abstract

A new generalization of the Fréchet distribution is introduced and studied. Its structural properties including the quantile function, random number generation, moments, moment generating function and order statistics are investigated. The unknown parameters of the model are estimated using maximum likelihood estimation method and a simulation study is carried out to check the performance of the method. The new model is applied to a real data set to prove empirically its flexibility.

Suggested Citation

  • Jayakumar Kuttan Pillai & Girish Babu Moolath, 2019. "A New Generalization of the Fréchet Distribution: Properties and Application," Statistica, Department of Statistics, University of Bologna, vol. 79(3), pages 267-289.
    • Handle: RePEc:bot:rivsta:v:79:y:2019:i:3:p:267-289
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