Corresponding Author

Radwan, Salwa

Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy


Topp-Leone; Lomax distribution; Moment Generating function; the differential entropy; Information matrix; simulation study


A new compound distribution is extended in this article, the Lomax distribution by using the Topp-Leone generated family. The statistical properties as Quantile function, moments and distribution of order statistics are studied. Maximum likelihood method is discussed and the element of the information matrix, differential entropy are provided. Simulation study is conducted to assess the performance of the parameters of Topp Leone Lomax distribution. An application is used to show that our distribution is better than one based on the Lomax and Exponentiated Lomax distribution.

Included in

Life Sciences Commons