A new three-parameter extension of the log-logistic distribution with applications to survival data

Mohammed K. Shakhatreh

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 21, 5205-5226

Abstract: In this article, a new three-parameter extension of the two-parameter log-logistic distribution is introduced. Several distributional properties such as moment-generating function, quantile function, mean residual lifetime, the Renyi and Shanon entropies, and order statistics are considered. The estimation of the model parameters for complete and right-censored cases is investigated competently by maximum likelihood estimation (MLE). A simulation study is conducted to show that these MLEs are consistent in moderate samples. Two real datasets are considered; one is a right-censored data to show that the proposed model has a superior performance over several existing popular models.

Date: 2018
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Citations: View citations in EconPapers (4)

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DOI: 10.1080/03610926.2017.1388399

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