SOME APPLICATIONS OF TRANSMUTED LOG-UNIFORM DISTRIBUTION

Abstract

As a generalization of the Log Uniform distribution, Transmuted Log - Uniform distribution is introduced and its properties are studied.We obtained graphical representations of its pdf, cdf, hazard rate function and survival function. We have derived statistical properties such as moments, mean deviations, and the quantile function for the Transmuted Log-Uniform distribution. We also obtained the order statistics of the new distribution. Method of maximum likelihood is used for estimating the parameters. Estimation of stress strength parameters is also done. We applied the Transmuted Log-Uniform distribution to a real data set and compared it with Transmuted Weibull distribution and Transmuted Quasi-Akash distribution. It was found that the Transmuted Log-Uniform distribution was a better fit than the Transmuted Weibull distribution and Transmuted Quasi-Akash distribution distributions based on the values of the AIC, CAIC, BIC, HQIC, the Kolmogorov-Smirnov (K-S) goodnessof-fit statistic and the p-values