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Abstract
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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.
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