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When is beta distribution bell-shaped or concave? - Cross Validated

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Is there some restriction to parameters $( \alpha , \beta)$ that makes the beta distribution concave down? Bell-shaped like e.g. a normal? For example, the cases in purple and black, but not the red

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Beta distribution - Wikipedia

Beta distribution - Wikipedia

What is the intuition behind beta distribution? - Cross Validated

Is the Gaussian distribution a specific case of the Beta Distribution? - Cross Validated

Beta Distribution - Definition, Formulas, Properties, Applications

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