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
