A New Version of Cubic Rank Transmuted GumbelDistribution

A cubic rank transmuted gumbel distribution (ctgd) in this article is a new generalization of the gumbel distribution based on a cubic ranking transmutation map. examined are the cubic transmuted gumbel model’s fundamental statistical properties, such as its hazard rate function, moment-generating function, moments, characteristic function, quantile function, entropy, and order statistics. finally, the usefulness and applicability of the ctgd using two real data sets about waiting time at a bank is described and wheaton river flood, and the fit has been compared with gumbel distribution (gd) and transmuted gumbel distribution (tgd). the results show that the proposed model provides a superior fit than transmuted gumbel distributions and gumbel distributions.