IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF MEDICAL EVALUATION AND PHYSICAL REPORT (IJMEPR )

E-ISSN 2579-0498
P-ISSN 2695-2181
VOL. 9 NO. 3 2025
DOI: 10.56201/ijmepr.v9.no3.2025.pg115.121

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A Note on Transmuted Inverse Power Lomax Distribution and Application to Breast Cancer Data

Oyebimpe E Adeniji, Okunowo B Olukorede, Aladesuyi Alademomi

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Abstract

The Transmuted Inverse Power Lomax (????) Distribution has been derived using Inverse Power Lomax Distribution (IPL) distribution and the Quadratic Rank Transmutation Map (QRTM). The developed distribution is more flexible and adaptable in modeling data exhibiting different shapes of the hazard function than its sub-models and other competing distributions. The mathematical expressions and shapes of the distribution function, probability density function, hazard rate function and reliability function are studied. The parameters of the ???? distribution is estimated by the method of maximum likelihood. Finally, the ???? distribution is applied to breast cancer data set and found to be better fit than ??? distribution and Inverse Lomax (??) distribution.

keywords:

???? distribution, QRTM, Reliability Function, Hazard Rate Function, Maximum Likelihood.

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