The Kumaraswamy Transmuted-G Family of Distributions: Properties and Applications

By Ahmed Z. Afifya, Gauss Moutinho Cordeiro, Haitham M. Yousof, Zohdy M. Nofal, Ayman Alzaatreh. 2021

80 citations recorded by the source corpus.

We introduce a new class of continuous distributions called the Kumaraswamy transmuted-G family which extends the transmuted class defined by Shaw and Buckley (2007). Some special models of the new family are provided. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Renyi and Shannon entropies, order statistics and probability weighted moments are derived. The maximum likelihood is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.

Subfields: Finance, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/dee4a8e06a0b73f756360edd76dd3e6af5e019eb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Finance

1. Haitham M. Yousof
2. G. Hamedani
3. Nadeem Shafique Butt
4. Morad Alizadeh
5. Zubair Ahmad

In Statistics and Probability

1. Haitham M. Yousof
2. G. Hamedani
3. Morad Alizadeh
4. Nadeem Shafique Butt
5. Mahdi Rasekhi
6. Zubair Ahmad
7. Ahmed Z. Afify
8. Faton Merovci

Citations in the corpus

• A New Three-Parameter Exponential Distribution with Variable Shapes for the Hazard Rate: Estimation and Applications (2020, unknown): “[4], modified exponential by Rasekhi et al.”
• Recent Developments in Distribution Theory: A Brief Survey and Some New Generalized Classes of distributions (2019, background): “From (3), for 0  = , we obtain the baseline distribution, i.”
• The transmuted Weibull-G family of distributions (2017, methodology): “Based on the TG family and Weibull-G (WG) family, we construct a new generator by inserting (3) into (1).”