Main Article Content
Abstract
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).
Keywords
TEGD
QRTM
Reliability Function
Hazard Rate Function
Maximum Likelihood
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following License
CC BY: This license allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use.
How to Cite
Deka, D., Das, B., & Baruah, B. K. (2017). Transmuted Exponentiated Gumbel Distribution (TEGD) and its Application to Water Quality Data. Pakistan Journal of Statistics and Operation Research, 13(1), 115-126. https://doi.org/10.18187/pjsor.v13i1.1636
