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- Title
A NEW FAMILY OF DISTRIBUTIONS FOR GENERATING SKEWED MODELS: PROPERTIES AND APPLICATIONS.
- Authors
Mohammed, Aminu Suleiman; Ugwuowo, Fidelis Ifeanyi
- Abstract
We propose a new family of continuous distributions with two extra parameters named Transmuted Exponential- G family of distributions. We provide a special member for the new family of distributions. An explicit expression for some of its mathematical and structural properties such as reliability function, failure rate, ordinary moments, incomplete moments, generating function, Renyi entropy and order statistics were derived and presented. The method of maximum likelihood is used to estimate the parameters of the developed family of distributions. A simulation study is carried out to assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors. Real-life data are used to validate the robustness of the developed family of distribution.
- Subjects
SKEWNESS (Probability theory); MATHEMATICAL statistics; CONTINUOUS distributions; ORDER statistics; MAXIMUM likelihood statistics; GENERATING functions; STRUCTURAL reliability
- Publication
Pakistan Journal of Statistics, 2020, Vol 36, Issue 2, p149
- ISSN
1012-9367
- Publication type
Article