Statistics research includes the publication of Handbook for Advanced Modeling: Non-Gaussian and Correlated Data (www.cambridge.org/9781316601051). For a discussion of the material in the book, click Handbook blog.
Truncated distribution modeling, particularly as applies to generalized linear models is a new are of research.
We are researching modeling random effects distributions and correlation structures in exponential family models, with an emphasis on counts. models.
REdistsLosAlamos: Selection Of Random Effects Distributions In Mixed Counts Models with Quasi-Likelihood Estimation, CCS-6 Statistical Sciences Seminar Series, Los Alamos National Laboratory, April 7, 2015