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beta_distribution [2023/01/20 12:21]
daria
beta_distribution [2023/01/20 12:32]
daria
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 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//. 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  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 the 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.//
  
  
beta_distribution.txt · Last modified: 2023/01/23 10:57 by daria