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

Ishfaq S. Ahmad (), Rameesa Jan, Poonam Nirwan and Peer Bilal Ahmad
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Ishfaq S. Ahmad: Islamic University of Science and Technology
Rameesa Jan: Government Degree College Sopore
Peer Bilal Ahmad: Islamic University of Science and Technology

Annals of Data Science, 2024, vol. 11, issue 2, No 6, 549-569

Abstract: 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.

Keywords: Beta distribution; Covariates; Log-concave; Monte Carlo simulation; Regression (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s40745-023-00483-3

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