Sampling from a couple of positively correlated binomial variables
<|reference_start|>Sampling from a couple of positively correlated binomial variables: We know that the marginals in a multinomial distribution are binomial variates exhibiting a negative correlation. But we can construct two linear combinations of such marginals in such a way to obtain a positive correlation. We discuss the restrictions that are to be imposed on the parameters of the given marginals to accomplish such a result. Next we discuss the regression function, showing that it is a linear function but not homoscedastic.<|reference_end|>
@article{catalani2002sampling,
    title={Sampling from a couple of positively correlated binomial variables},
    author={Mario Catalani},
    journal={arXiv preprint arXiv:cs/0209005},
    year={2002},
    number={DECON0902},
    archivePrefix={arXiv},
    eprint={cs/0209005},
    primaryClass={cs.DM}
}