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--- beta_generalized_distribution [2023/01/20 13:28]
daria created
+++ beta_generalized_distribution [2023/01/23 10:57] (current)
daria
@@ Line 8: / Line 8: @@
 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// (the beta function)  is a normalization constant to ensure that the total probability is 1 and has next formula
 Beta(alpha,beta) = //integral from 0 to 1 of t^(alpha-1)*(1-beta)^(alpha-1) dt//
@@ Line 14: / Line 14: @@
 ^Parameter^Description            ^Default value^
-|a        |The first scale (min)  |0.0          |
+|alpha        |The first shape parameter  |2.0         |
-|b        |The second scale (max) |1.0          |
+|beta       |The second shape |2.0          |
-|c        |The shape (most likely)|0.0          |
+|Min        |The minimum value)|0.0          |
-|lambda   |The third scale        |4.0          |
+|Max  |The maximum value       |1.0          |

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