Department of Mathematics,Southest University,Department of Mathematics,Nanjing Agricultural University

ZI (zero-inflated) data are data with overmuch zeroes.
The ZI data have been commonly encountered in a wide variation of
disciplines, and have been a hot topic since last decade. In this
paper, we first present the actual significance of ZI data via two
examples. Then we demonstrate the general situation and latest
improvement of statistical analysis for zero-inflated data.
Additionally, zero-inflated models, zero-inflated mixed models, and
the estimation methods and some diagnostic problems are surveyed
systematically. The relevant work done by authors in recent years
are also introduced. Finally, several potential topics to be studied
are listed.