| Abstrakt: |
In the past few decades, numerous distributions have been proposed in the literature to model lifetime data. In this paper, the two popular distributions, Log-Logistic and Ailamujia, were selected and combined to create a new distribution, namely the Log-Logistic Ailamujia distribution, to obtain a distribution that is flexible to fit data. First, its probability density and cumulative distribution functions are presented. Then, some distributional properties such as survival function, hazard function, weighted moments, order statistics, and entropy are investigated. Next, the parameters are estimated by the maximum likelihood method, and their performance is evaluated via a simulation study with varying parameter values and sample sizes. Finally, the proposed distribution is fitted to a real-life data set to examine its flexibility. The results indicate that the new distribution performs well. Furthermore, based on the three information criteria, the proposed distribution provides a more appropriate model than other candidate distributions in terms of goodness of fit. [ABSTRACT FROM AUTHOR] |
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