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--- beta_distribution [2023/01/20 12:21]
daria
+++ beta_distribution [2023/01/23 10:57] (current)
daria
@@ Line 3: / Line 3: @@
 In probability theory and statistics, the Beta distribution is a family of continuous probability distributions defined on the interval [0,1] parametrized by two non-negative shape parameters, typically denoted by //alpha// and //beta//.
-f(x,alpha,beta) =  // (x^(alpha-1)*(1-x)^(beta-1))/B(alpha,beta)//
+f(x,alpha,beta) =  // (x^(alpha-1)*(1-x)^(beta-1))/Beta(alpha,beta)//
 where
-//B\Beta// (The beta function), is a normalization constant to ensure that the total probability is 1 and has the formula
+//Beta// (the beta function)  is a normalization constant to ensure that the total probability is 1 and has next formula
-//B(alpha,beta) = integral from 0 to 1 of t^(alpha-1)*(1-t)^(beta-1) dt.//
+Beta(alpha,beta) = //integral from 0 to 1 of t^(alpha-1)*(1-t)^(beta-1) dt.//

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