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

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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.

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Data availability

Data is available at http://mofapp.nic.in:8080/economicsurvey/ and “simplexreg” package of R.

Code availability

The code can be made available to readers upon request to the author.

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Acknowledgements

The authors would like to thank the Editors and Reviewers for their constructive comments which led to improve the quality and presentation of the manuscript.

Funding

The authors did not receive financial support from any organization for the submitted work.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora, Pulwama, J &K, 192122, India

    Ishfaq S. Ahmad & Peer Bilal Ahmad

  2. Department of Statistics, Government Degree College Sopore, Sopore, Baramulla, J &K, 193201, India

    Rameesa Jan

  3. 198A 1st A Road, Shardapura, Jodhpur, Rajasthan, 342003, India

    Poonam Nirwan

Authors
  1. Ishfaq S. Ahmad
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  2. Rameesa Jan
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  3. Poonam Nirwan
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  4. Peer Bilal Ahmad
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All authors contributed equally.

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Correspondence to Ishfaq S. Ahmad.

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Ahmad, I.S., Jan, R., Nirwan, P. et al. A New Class of Distribution Over Bounded Support and Its Associated Regression Model. Ann. Data. Sci. 11, 549–569 (2024). https://doi.org/10.1007/s40745-023-00483-3

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  • DOI: https://doi.org/10.1007/s40745-023-00483-3

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