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A NEW COMPOUND LIFETIME MODEL WITH MEDICAL APPLICATIONS
Keywords:
alpha power transformed, Erlang truncated exponential, moments, maximum likelihood estimation.DOI:
https://doi.org/10.17654/0972361722013Abstract
In this work, a novel lifespan model is introduced and investigated. The new distribution is referred to as the alpha power Erlang truncated exponential distribution. Various properties of the proposed distribution are obtained including, quantiles $(Q_U)$, moments $(M_O)$, conditional moments $(CM_O)$, mean residual life $(MR_EL)$ function, mean inactivity time $(MI_NT)$ and entropy $(E_N)$. The parameters are estimated using the maximum likelihood $(ML_L)$ estimation approach. The significance and adaptability of the proposed approach are demonstrated using an actual data set on breast cancer.
Received: December 6, 2021
Accepted: January 19, 2022
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