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Transmuted Weibull Logistic Distribution

Abstract


Most of the time real data does not follow any of the classical or standard probability models, so more effort has been expended in the development of large classes of standard probability distribution by generalizing the standard distributions. A complete study of the transmuted Weibull Logistic distribution is proposed, introducing some basic properties of this distribution, such as Quantile function, mode, characteristic function and entropy, as well as the derivation of maximum likelihood estimators of the parameters and the information matrix. Real life data is used as an application to this distribution with a comparison with other distributions to illustrate the flexibility and ability to model lifetime data. Also, a simulation study is conducted to demonstrate the effect of the sample on the estimates of the parameters.


Keywords

Weibull distribution, generalized distribution, Quantile function, entropy and maximum likelihood estimation

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