On the role of the overall effect in exponential families

@article{Klimova2017OnTR,
  title={On the role of the overall effect in exponential families},
  author={Anna Klimova and Tam{\'a}s Rudas},
  journal={arXiv: Methodology},
  year={2017}
}
Exponential families of discrete probability distributions when the normalizing constant (or overall effect) is added or removed are compared in this paper. The latter setup, in which the exponential family is curved, is particularly relevant when the sample space is an incomplete Cartesian product or when it is very large, so that the computational burden is significant. The lack or presence of the overall effect has a fundamental impact on the properties of the exponential family. When the… 
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