RT - Journal Article T1 - Cubic Transmuted Gumbel Distribution Based on Cubic Ranking Transformation Map JF - Andishe-_ye-Amari YR - 2022 JO - Andishe-_ye-Amari VO - 26 IS - 2 UR - http://andisheyeamari.irstat.ir/article-1-871-en.html SP - 105 EP - 116 K1 - Cubic transmuted Gumbel distribution K1 - Likelihood function K1 - Maximum likelihood estimation K1 - Moment generating function. AB - In this paper, a generalization of the Gumbel distribution as the cubic transmuted Gumbel distribution based on ‎the ‎cubic ranking transmutation map is introduced. It is shown that for some of the parameters, the proposed density function is mesokurtic and for others parameters the density function is platykurtic function. The statistical properties of new distribution, consist of survival function, hazard function, moments and moment generating function have been studied. The parameters of cubic transmuted Gumbel distribution are estimated using the maximum likelihood method. Also, the application of the cubic transmuted Gumbel distribution is shown with two numerical examples and compared with Gumbel distribution and transmuted Gumbel distribution. Finally, it is shown that for a data set, the proposed cubic transmuted Gumbel distribution is better than Gumbel distribution and transmuted Gumbel distribution. LA eng UL http://andisheyeamari.irstat.ir/article-1-871-en.html M3 ER -