Transmuted Shanker Distribution: Properties and Applications

In this paper a new continuous distribution is proposed. This distribution will generalize Shanker distribution to the transmuted Shanker distribution using the quadratic rank transmutation map. Some properties of this distribution are studied. A simulation study is conducted to calculate the mean, standard deviation, skewness, kurtosis and the coefficient of variation of this distribution. An application to a data set is conducted. It shows that the new distribution performs better than some other distributions, like Shanker itself and Lindley in performance of the values of ?2lnL, W, A, AIC, KS-statistic and p-value.