A New Extension of the Xrama Distribution for Analyzing Cancer Data

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.