|
Abstract
|
We introduce a new family of continuous distributions called the transmuted
geometric-G family which extends the transmuted family pioneered by Shaw and
Buckley (2007). Some of its mathematical properties including explicit expressions for
the ordinary and incomplete moments, generating function, Rényi and Shannon entropies,
order statistics and probability weighted moments are derived. Some special models of
the new family are provided. The maximum likelihood method is used for estimating the
model parameters. The importance and flexibility of the proposed family are illustrated
by two applications to real data sets.
|