# Some New Results for Poisson Binomial Models

@article{Rosenman2019SomeNR, title={Some New Results for Poisson Binomial Models}, author={Evan Rosenman}, journal={ArXiv}, year={2019}, volume={abs/1907.09053} }

We consider a problem of ecological inference, in which individual-level covariates are known, but labeled data is available only at the aggregate level. The intended application is modeling voter preferences in elections. In Rosenman and Viswanathan (2018), we proposed modeling individual voter probabilities via a logistic regression, and posing the problem as a maximum likelihood estimation for the parameter vector beta. The likelihood is a Poisson binomial, the distribution of the sum of… Expand

#### One Citation

The Poisson binomial distribution -- Old & New

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- 2019

This is an expository article on the Poisson binomial distribution. We review lesser known results and recent progress on this topic, including geometry of polynomials and distribution learning. We… Expand

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