Evaluation of the maximum entropy test on artificial data.

<p>(A) Probability mass functions of the maximum entropy distribution (left) and the Gaussian copula based distribution (right) of the mixture distribution with a linear correlation coefficient of . The Poisson marginals () are plotted along the axes. (B) Same as A but for the mixture distribution with a linear correlation coefficient of . (C) Percent rejections of the null hypothesis using the entropy difference as the divergence measure. Significance level was . Rejection rates were estimated over 100 tests. Different lines correspond to different numbers of samples drawn from the candidate distribution: 10 (red dotted line), 50 (green dash-dotted line), 100 (blue dashed line), and 200 (black solid line). (Left) Results for the family for varying correlation coefficient . (Center) Results for distributions from the family () for varying mixture parameter (cf. <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002539#pcbi-1002539-g002" target="_blank">Figure 2 A</a>). (Right) Same for (, cf. <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002539#pcbi-1002539-g002" target="_blank">Figure 2 B</a>)). Poisson rate was for all candidate distributions (corresponding to 30 Hz and 100 ms bins). Simulated annealing <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002539#pcbi.1002539-Kirkpatrick1" target="_blank">[45]</a> was applied to maximize the <i>p</i>-value (cf. <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1002539#pcbi.1002539.s001" target="_blank">Text S1</a>). Number of Monte Carlo samples was 1000.