answersLogoWhite

0


Best Answer

The probability density function for a beta distribution with parameters a and b (a, b > 0) is of the form:B(x; a, b) = c*x*(a-1)*(1-x)(b-1) where 0 <= x <= 1.

c is a constant such that the integral is 1 and it can be shown that c = G(a+b)/[G(a)*G(b)] where G is the Gamma function.

User Avatar

Wiki User

6y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the beta distribution formula?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

Is the beta distribution is a special case of dirichlet distribution?

In a sense.Beta distributions are the marginal distributions of the Dirichlet distribution.


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.


What is the difference between beta and normal distribution?

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.


What is the formula for finding probabilities?

The formula for finding probability depends on the distribution function.


What does unimodal mean?

Please consider the probability density function graphs for the beta distribution, given in the link. For alpha=beta=2, the density is unimodal, which is to say, it has a single maximum. In contrast, for alpha=beta=0.5, the density is bimodal; it has two maxima.

Related questions

How do you convert a beta probability density function to a beta frequency distribution?

probability density distribution


What is the chemical formula for beta carotene?

The chemical formula for beta-carotene is C40H56


Is the beta distribution is a special case of dirichlet distribution?

In a sense.Beta distributions are the marginal distributions of the Dirichlet distribution.


Why there's not a formula for beta decay?

There certainly is a formula for beta decay. You just need to know the parent nuclide and the beta mode, beta- or beta+. See the related question below which answers this quite well.


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.


What is the formula to calculate beta DC?

beta dc= ic/ib!!


What is the difference between beta and normal distribution?

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.


What is the molecular formula for Beta-globin?

The molecular formula for Beta-globin, a protein found in hemoglobin, is C₁₄₀H₂₂₂N₃₈O₳₀S₁.


What has the author John Stager Foard written?

John Stager Foard has written: 'Investigation of a fit of beta and normal distributions to a product of beta distribution'


What is the formula of beta particle?

e-1. It is symbolised by an electron.


How is it possible to convert normal distributions to the standard normal distribution?

use this link http://www.ltcconline.net/greenl/Courses/201/probdist/zScore.htm Say you start with 1000 observations from a standard normal distribution. Then the mean is 0 and the standard deviation is 1, ignoring sample error. If you multiply every observation by Beta and add Alpha, then the new results will have a mean of Alpha and a standard deviation of Beta. Or, do the reverse. Start with a normal distribution with mean Alpha and standard deviation Beta. Subtract Alpha from all observations and divide by Beta and you wind up with the standard normal distribution.


What is the formula for finding probabilities?

The formula for finding probability depends on the distribution function.