Advances and Applications in Statistics
Volume 51, Issue 5, Pages 309 - 335
(November 2017) http://dx.doi.org/10.17654/AS051050309 |
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THE ODD KUMARASWAMY INVERSE WEIBULL DISTRIBUTION WITH APPLICATION TO SURVIVAL DATA
Bol A. M. Atem, George O. Orwa and Levi N. Mbugua
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Abstract: Probability distributions are very useful models for characterising inherent variability in lifetime data. Modified forms of Weibull distribution are widely used in survival data analysis due to their versatility and relative simplicity. In this study, a new odd Kumaraswamy inverse Weibull distribution is developed and its mathematical properties are derived. The model parameters are estimated using maximum likelihood estimation and a simulation to assess the performance of maximum likelihood estimators of the parameters is carried out. The model is then applied to several survival data sets to illustrate its flexibility. Applications of the model to survival data empirically prove its flexibility and usefulness in modeling various types of biomedical and reliability data and its superiority over other lifetime distributions. Thus, the model may attract wider applications in survival analysis, reliability analysis, and insurance. |
Keywords and phrases: odd Kumaraswamy inverse Weibull distribution, maximum likelihood estimation, survival data. |
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