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 numerical 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 Shanker dis-tributions and some other distributions, like Shanker itself and Lindley in performance of the values of -2lnL, W, A, AIC, KS-statistic and p-value.