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beta-pert_distribution [2023/01/20 12:31]
daria
beta-pert_distribution [2023/01/20 13:27]
daria removed
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 This is a generalized version of the Beta distribution with dynamic interval defined by parameters min and max. This is a generalized version of the Beta distribution with dynamic interval defined by parameters min and max.
  
-f(x,alpha,beta,min,max) =   (((x-min)/(max-min))^(alpha-1)*(1-((x-min)/(max-min))^(beta-1)/Beta(alpha,beta)-min)/(max-min)+f(x,alpha,beta,min,max) =  //(((x-min)/(max-min))^(alpha-1)*(1-((x-min)/(max-min))^(beta-1)/Beta(alpha,beta)-min)/(max-min)//
 where   where  
-Beta(alpha,beta) = integral from 0 to 1 of t^(z-1)*(1-t)^(w-1) dt.+ 
 +Beta(alpha,beta) = ..integral from 0 to 1 of t^(z-1)*(1-t)^(w-1) dt.
 support [min <= x <= max] support [min <= x <= max]