A NEW EXTENSION OF THE XRAMA DISTRIBUTION FOR ANALYZING CANCER DATA

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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-03
DOI
https://doi.org/10.5281/zenodo.18466940
Primary Topic
Statistical Methods and Inference
Type
article
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article

A NEW EXTENSION OF THE XRAMA DISTRIBUTION FOR ANALYZING CANCER DATA

P. Pandiyan R. Jothika
Zenodo (CERN European Organization for Nuclear Research)
Statistical Methods and Inference
article

A NEW EXTENSION OF THE XRAMA DISTRIBUTION FOR ANALYZING CANCER DATA

P. Pandiyan R. Jothika
article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Annamalai University (IN)
Openalex Percentile: Top 70%
Statistical Methods and Inference
DOIOpen Access PDFOpenAlex
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A NEW EXTENSION OF THE XRAMA DISTRIBUTION FOR ANALYZING CANCER DATA — P. Pandiyan R. Jothika · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS