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Maximum Likelihood Estimation of Discrete Log-Concave Distributions with Applications

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Figure

Figure 1.1: Relations between three definitions: discrete-convex, convex-extendible, and separable-convex.
Figure 3.1: Grayscale heatmaps of the empirical PMF (left) and its eLC projection (right)
Figure 3.2: From the example of Figure 3.1, we compute the marginal distributions of our eLC MLE, we compare the marginals of elC MLE with empirical marginals and the true marginals in above Figures.
Figure 3.3: Boxplots of l 2 distance between estimator and true distribution.
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