The Kumaraswamy Transmuted-G Family of Distributions: Properties and Applications
| Autor: | Ayman Alzaatreh, Gauss M. Cordeiro, Ahmed Z. Afify, Zohdy M. Nofal, Haitham M. Yousof |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0301 basic medicine
Class (set theory) Maximum likelihood Order statistic Mathematical properties Generating function Model parameters Combinatorics 03 medical and health sciences 030104 developmental biology 0302 clinical medicine Continuous distributions 030220 oncology & carcinogenesis Applied mathematics Group family Mathematics |
| Zdroj: | Journal of Data Science. 14:245-270 |
| ISSN: | 1683-8602 1680-743X |
| DOI: | 10.6339/jds.201604_14(2).0004 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|