What question did this study set out to answer?

The central aim is to extend the Xrama distribution to improve cancer data analysis through an area biasing method.

February 5, 20260 citationsOpen Access

A New Extension of the Xrama Distribution for Analyzing Cancer Data

PJP. Pandiyan R. JothikaAnnamalai University

Key Points

The central aim is to extend the Xrama distribution to improve cancer data analysis through an area biasing method.
Defined the probability density and cumulative distribution functions for the area biased Xrama distribution.
Studied key properties including moments, survival function, and hazard rate.
Estimated model parameters using the method of maximum likelihood.
Applied the model to real-life cancer survival data.
The new model demonstrated better performance compared to existing statistical models for analyzing cancer data.

Abstract

AbstractThis paper introduces area biased Xrama Distribution, which extends the Xrama distributionby applying an area-biasing method. The probability density and cumulative distributionfunctions are defined, and key properties such as moments, survival function, and hazard rateare studied. The model’s parameters are estimated using the method of maximum likelihood.Finally, the Area-biased Xrama distribution is applied to real-life cancer survival data,showing better performance compared to existing models.

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