Function (biology)

Biology

Discrete mathematics

Statistics

Applied mathematics

Computer science

Probability distribution

Dentistry

Order statistic

Evolutionary biology

Calculus (dental)

Mathematics

Artificial intelligence

Probability density function

Medicine

Maximum likelihood

Flexibility (engineering)

Class (philosophy)

Generating function

Journal of Data Science

We introduce a new class of continuous distributions called the Ku maraswamy 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, Rényi 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.

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