When is beta distribution bell-shaped or concave? - Cross Validated
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![](https://i.stack.imgur.com/lnZk2.png)
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
![](https://sphweb.bumc.bu.edu/otlt/mph-modules/bs/bs704_probability/Skewed.png)
The Normal Distribution: A Probability Model for a Continuous Outcome
![](http://varianceexplained.org/figs/2014-12-20-beta_distribution_and_baseball/plot2-1.png)
Understanding the beta distribution (using baseball statistics
![](https://miro.medium.com/v2/resize:fit:2000/1*4MW72dpY0hduTKvxh2orDw.jpeg)
Normal Distribution and Beta Distribution: What They Are, and How to Generate Them and Visualize Them in Python, by Cristina Sahoo, The Startup
![](https://www.causact.com/13-betaPrior_files/figure-html/histPriorThetaBetaFacets-1.png)
Chapter 17 The beta Distribution A Business Analyst's Introduction to Business Analytics (Second Edition)
![](https://media.springernature.com/lw685/springer-static/image/chp%3A10.1007%2F978-3-662-67998-2_6/MediaObjects/152058_1_En_6_Fig14_HTML.png)
Biostatistics
![](https://i.stack.imgur.com/Q6udI.png)
Is there a plateau-shaped distribution? - Cross Validated
![](https://ars.els-cdn.com/content/image/3-s2.0-B9780124058880000064-f06-02-9780124058880.jpg)
Beta Distribution - an overview
![](https://i.stack.imgur.com/ftX0Jm.png)
What is the intuition behind beta distribution? - Cross Validated
![](https://media.springernature.com/m685/springer-static/image/art%3A10.1007%2Fs00170-024-13234-2/MediaObjects/170_2024_13234_Fig16_HTML.png)
Cutting dynamics research on the five-axis machining of thin curved surface with barrel-taper-ball milling cutter
![](https://statisticsbyjim.com/wp-content/uploads/2022/05/beta_distribution_examples.png)
Beta Distribution: Uses, Parameters & Examples - Statistics By Jim
![](https://miro.medium.com/v2/resize:fit:1400/1*RKujzUPePqWMvFpLq9flFQ.png)
Beta Distribution — Intuition, Examples, and Derivation, by Ms Aerin
![](https://vaszar.org/wordpress/wp-content/uploads/2020/03/image-6-1024x731.png)
The beta distribution
![](https://upload.wikimedia.org/wikipedia/commons/thumb/4/42/Median_Beta_Distribution_for_alpha_and_beta_from_0_to_5_-_J._Rodal.jpg/325px-Median_Beta_Distribution_for_alpha_and_beta_from_0_to_5_-_J._Rodal.jpg)
Beta distribution - Wikipedia
Ironing Out Nutrition's Bell-Shaped Curve – A Lab Aloft (International Space Station Research)
Understanding The Distribution Of Scores For The Prevue Benchmark
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