Size-biased Sujatha Distribution with Properties and Application to Model Flood Data

Year : 2024 | Volume :13 | Issue : 01 | Page : 31-46
By
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Rama Shanker,

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Hosenur Rahman Prodhani,

  1. Associate Professor, Assam University, Silchar, Assam, India
  2. Research Scholar, Assam University, Silchar, Assam, India

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In this study, a size-biased version of the Sujatha distribution was proposed to model flood data. The descriptive statistical properties based on moments and the reliability properties of the distribution are discussed in detail along with their derivation and graphical presentation. An interesting feature of the proposed distribution is that it is a member of the exponential family of distributions. A sequential probability ratio test was performed using the proposed distribution. There has been discussion of parameter estimation utilizing the moment, maximum likelihood, maximum product spacing, least squares, weighted least squares, and Cramer-Von Mises estimation methods. The confidence interval of the parameter of the distribution was obtained and shown graphically. A simulation study was conducted to determine the consistency of the estimator using different estimation methods has been done. To demonstrate the application of the distribution, we presented its goodness-of-fit by comparing it with that of the size-biased exponential and Lindley distributions. The results indicate that the proposed distribution provides the best fit among size-biased distributions. This study makes a significant contribution to the field by introducing a novel distribution model specifically designed for flood data. It offers an in-depth statistical analysis, explores various methods for estimating distribution parameters, and validates its practical use through simulations and goodness-of-fit assessments. The findings underscore the benefits of employing this new size-biased Sujatha distribution for modeling flood events and potentially other datasets in which size bias plays a crucial role.

Keywords: Sujatha distribution, mean residual life function, moments-based measures, sequential probability ratio test, estimation of parameter, applications

[This article belongs to Research & Reviews : Journal of Statistics (rrjost)]

How to cite this article:
Rama Shanker, Hosenur Rahman Prodhani. Size-biased Sujatha Distribution with Properties and Application to Model Flood Data. Research & Reviews : Journal of Statistics. 2024; 13(01):31-46.
How to cite this URL:
Rama Shanker, Hosenur Rahman Prodhani. Size-biased Sujatha Distribution with Properties and Application to Model Flood Data. Research & Reviews : Journal of Statistics. 2024; 13(01):31-46. Available from: https://journals.stmjournals.com/rrjost/article=2024/view=0

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Regular Issue Subscription Original Research
Volume 13
Issue 01
Received 18/07/2024
Accepted 29/07/2024
Published 05/08/2024
173