The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications

UNCW Author/Contributor (non-UNCW co-authors, if there are any, appear on document)
Ghosh, Indranil (Creator)
The University of North Carolina Wilmington (UNCW )
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Abstract: In this paper, we introduce a new family of continuous distributions called the transmuted Topp-Leone G family which extends the transmuted class pioneered by Shaw and Buckley (2007). Some of its mathematical properties including probability weighted moments, mo- ments, generating functions, order statistics, incomplete moments, mean deviations, stress- strength model, moment of residual and reversed residual life are studied. Some useful char- acterizations results based on two truncated moments as well as based on hazard function are presented. The maximum likelihood method is used to estimate its parameters. The Monte Carlo simulation is used for assessing the performance of the maximum likelihood estimators. The usefulness of the new model is illustrated by means of two real data set.

Additional Information

Language: English
Date: 2017
Transmuted Topp-Leone G family, Shaw and Buckley, order statistics, generating functions, mean deviations, Monte Carlo simulation

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