A NEW EXTENDED “A” DISTRIBUTION WITH REAL DATA APPLICATIONS
Keywords:
one parameter distribution, a new group family of distributions, maximum likelihood estimation, simulation study.DOI:
https://doi.org/10.17654/0972361723073Abstract
In this work, we provide an extended one parameter distribution into a new two parameter life model and called it the New Extended “A” (NEA) distribution. This new model provides the best description of the data sets in different sectors. Both of the probability distribution function (PDF) and the cumulative distribution function (CDF) of the NEA distribution are derived from one of the new families. The suggested distribution’s properties including moments, quantile function, survival function, hazard rate function, odds function and mode are deduced and acquired in explicit forms using Taylor expansion to simplify the integrals. The Rényi entropy of NEA distribution is derived and the maximum likelihood method for estimating its parameters is deduced. Numerical simulations are used to study the behavior of the parameters with different sizes of samples. According to the simulation results of this work, the maximum likelihood estimators are advised to be a suitable estimation method for estimating the parameters of the NEA distribution. We show the importance and flexibility of the NEA distribution by comparing it to some competing distributions using five real data sets from different sectors in behavioral sciences, ecophysiological, industry and health. Our new model is shown to be better than all competing distributions.
Received: October 6, 2023
Accepted: November 15, 2023
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