A New Version of Cubic Rank Transmuted Gumbel Distribution

Doaa Abd K. Elhertaniy

Article Details

A New Version of Cubic Rank Transmuted Gumbel Distribution

Authors:

Doaa Abd K. Elhertaniy

Publisher:

University of Kirkuk

Journal:

Kirkuk Journal of Science Vol.18 Issue 1, pp.1-15

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001932195

pISSN:

3005-4788

Keywords:

Abstract:

 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.

Article Details

A New Version of Cubic Rank Transmuted Gumbel Distribution

Authors:

Doaa Abd K. Elhertaniy

Publisher:

University of Kirkuk

Journal:

Kirkuk Journal of Science Vol.18 Issue 1, pp.1-15

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001932195

pISSN:

3005-4788

Moments

Gumbel Distribution

simulation study

order statistics

Entropy

Issues

Article Details

A New Version of Cubic Rank Transmuted Gumbel Distribution

Authors: Doaa Abd K. Elhertaniy

Publisher: University of Kirkuk

Journal: Kirkuk Journal of Science Vol.18 Issue 1, pp.1-15

Document Type: Article

Publication Date: 3/2023

Document Language: English

Document ID (Org No.): 2001932195

pISSN: 3005-4788

Moments

Gumbel Distribution

simulation study

order statistics

Entropy

Issues

Authors:

Doaa Abd K. Elhertaniy

Publisher:

University of Kirkuk

Journal:

Kirkuk Journal of Science Vol.18 Issue 1, pp.1-15

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001932195

pISSN:

3005-4788