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→Log-concave distributions: added independent hypothesis to the sum of log concave rv |
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Examples of log-concave functions are the 0-1 [[indicator function]]s of convex sets (which requires the more flexible definition), and the [[Gaussian function]].
Similarly, a function is '''[[log-convex]]''' if it satisfies the reverse inequality
: <math>
f(\theta x + (1 - \theta) y) \leq f(x)^{\theta} f(y)^{1 - \theta}
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