  Subject of our study it is the accelerated expansion of the large scale
universe, where a varying ghost dark energy can take the role of the dark
energy. The model of the varying ghost dark energy considered in this work it
is a phenomenological modification of the ghost dark energy. Recently, three
other phenomenological models of the varying ghost dark energy have been
suggested and the model considered in this work will complete the logical chain
of considered modifications. The best fit of theoretical results to the
luminosity distance, has been used to obtain preliminary constraints on the
parameters of the models. This does help us to reduce amount of discussion. On
the other hand, detailed comparison of theoretical results with observational
data has been left as a subject of another discussion elsewhere. Moreover, a
look to considered models via $Om$ and statefinder hierarchy analysis is
presented and discussed for different forms of interaction between the varying
ghost dark energy and cold dark matter.
