Transmuted Exponentiated Gumbel Distribution (TEGD) and its Application to Water Quality Data

The Transmuted Exponentiated Gumbel Distribution (TEGD) has been derived using Exponentiated Gumbel Distribution (EGD) and the Quadratic Rank Transmutation Map (QRTM). The analytical expressions and shapes of the distribution function, probability density function, hazard rate function and reliability function are studied. The parameters of the TEGD are estimated by the method of maximum likelihood. Finally the TEGD is applied to real data set of water quality parameter and found to be better fit than Exponentiated Gumbel Distribution (EGD) and Gumbel Distribution (GD).