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The probability density functions are different in shape and the domain. The domain of the beta distribution is from 0 to 1, while the normal goes from negative infinite to positive infinity. The shape of the normal is always a symmetrical, bell shape with inflection points on either sides of the mean. The beta distribution can be a variety of shapes, symmetrical half circle, inverted (cup up) half circle, or asymmetrical shapes. Normal distribution has many applications in classical hypothesis testing. Beta has many applications in Bayesian analysis. The uniform distribution is considered a specialized case of the beta distribution. See related links.
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Difference between beta and standard deviation?
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What is difference between beta and alpha test Brief?
A brief explanation of the difference between beta and alpha test is that alpha test is usually in-house and is part of basic development. Beta test is right before product release and typically includes customer input.
Is the beta distribution is a special case of dirichlet distribution?
In a sense.Beta distributions are the marginal distributions of the Dirichlet distribution.
What is the difference between alpha and beta naphthol?
alpha naphthol with CCl4(carbon tetrachloride) gives blue colour whereas beta naphthol with CCl4 gives no colour. that is the distinction test between alpha and beta naphthol.
Is the beta distribution closed under convex combinations viz is the convex combination of two or more beta distributions also a beta distribution?
No. For a convex combination of distributions, the density is also a convex combination of the individual densities and one can easilly check that the convex combination of beta densities is not again a beta density.
