Browsing by Author "Makubate, B."
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Item Application of the exponentiated log-logistic Weibull distribution to censored data(Nigerian Society of Physical Sciences, 2019) Fagbamigbe, A. F.; Basele, G. K.; Makubate, B.; Oluyede, B. O.In a recent paper, a new model called the Exponentiated Log-Logistic Weibull (ELLoGW) distribution with applications to reliability, survival analysis and income data was proposed. In this study, we applied the recently developed ELLoGW model to a wide range of censored data. We found that the ELLoGW distribution is a very competitive model for describing censored observations in life-time reliability problems such as survival analysis. This work shows that in certain cases, the ELLoGW distribution performs better than other parametric model such as the Log-Logistic Weibull, Exponentiated Log-Logistic Exponential, Log-Logistic Exponential distributions and the non-nested Gamma-Dagum (GD)Item The exponentiated generalized power series family of distributions: theory, properties and applications(Elsevier Ltd, 2020) Oluyede, B. O.; Mashabe, B.; Fagbamigbe, A.; Makubate, B.; Wanduku, D.We propose a new generalized family of distributions called the exponentiated generalized power series (EGPS) family of distributions and study its sub-model, the exponentiated generalized logarithmic (EGL) class of distributions, in detail. The structural properties of the new model (EGPS) and its sub-model (EGL) distribution including moments, order statistics, Rényi entropy, and maximum likelihood estimates are derived. We used the method of maximum likelihood to estimate the parameters of this new family of distributions. Simulation study was carried out to examine the bias and the mean square error of the maximum likelihood estimators for each of the model’s parameters. Finally, we showed real life data examples to illustrate the models’ applicability, flexibility and usefulness.