English

On parametric families for sampling binary data with specified mean and correlation

Methodology 2012-04-09 v4 Computation

Abstract

We discuss a class of binary parametric families with conditional probabilities taking the form of generalized linear models and show that this approach allows to model high-dimensional random binary vectors with arbitrary mean and correlation. We derive the special case of logistic conditionals as an approximation to the Ising-type exponential distribution and provide empirical evidence that this parametric family indeed outperforms competing approaches in terms of feasible correlations.

Keywords

Cite

@article{arxiv.1111.0576,
  title  = {On parametric families for sampling binary data with specified mean and correlation},
  author = {Christian Schäfer},
  journal= {arXiv preprint arXiv:1111.0576},
  year   = {2012}
}
R2 v1 2026-06-21T19:29:51.457Z