Work

A New Length-Biased Xrama Distribution: Properties and Application to Cancer Data

Year: 2025

Type: article

Abstract: This research introduces the Length-Biased Xrama distribution, an extension of the Xrama model. The study analyzes the length-biased ‎distribution's characteristics, comparing it to the original Xrama distribution, and investigates its statistical properties like moments and relia‎bility. Furthermore, the paper explores order statistics and likelihood ratio tests and utilizes Maximum Likelihood Estimation (MLE) to ‎determine the distribution's parameters. The findings, supported by real-world cancer data applications, suggest that the Length-Biased ‎Xrama distribution provides a superior fit compared to competing distributions‎.

Source: International Journal of Advanced Statistics and Probability

DOI: 10.14419/ytn4h313

Authors: R. Jothika, P. Pandiyan

Institution: Annamalai University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412539684

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