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A New Class of Distribution Over Bounded Support and Its Associated Regression Model

Author

Listed:
  • Ishfaq S. Ahmad

    (Islamic University of Science and Technology)

  • Rameesa Jan

    (Government Degree College Sopore)

  • Poonam Nirwan
  • Peer Bilal Ahmad

    (Islamic University of Science and Technology)

Abstract

In this paper, a new two-parameter distribution over the bounded support (0,1) is introduced and studied in detail. Some of the interesting statistical properties like concavity, hazard rate function, mean residual life, moments and quantile function are discussed. The method of moments and maximum likelihood estimation methods are used to estimate unknown parameters of the proposed model. Besides, finite sample performance of estimation methods are evaluated through the Monte-Carlo simulation study. Application of the proposed distribution to the real data sets shows a better fit than many known two-parameter distributions on the unit interval. Moreover, a new regression model as an alternative to various unit interval regression models is introduced.

Suggested Citation

  • Ishfaq S. Ahmad & Rameesa Jan & Poonam Nirwan & Peer Bilal Ahmad, 2024. "A New Class of Distribution Over Bounded Support and Its Associated Regression Model," Annals of Data Science, Springer, vol. 11(2), pages 549-569, April.
    • Handle: RePEc:spr:aodasc:v:11:y:2024:i:2:d:10.1007_s40745-023-00483-3
    DOI: 10.1007/s40745-023-00483-3
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