beta_generalized_distribution
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beta_generalized_distribution [2023/01/20 13:28] daria created |
beta_generalized_distribution [2023/01/23 10:57] (current) daria |
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) )// |
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where | where //Beta// (the beta function) is a normalization constant to ensure that the total probability is 1 and has next formula |
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Beta(alpha,beta) = //integral from 0 to 1 of t^(alpha-1)*(1-beta)^(alpha-1) dt// | Beta(alpha,beta) = //integral from 0 to 1 of t^(alpha-1)*(1-beta)^(alpha-1) dt// |
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^Parameter^Description ^Default value^ | ^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 | |
beta_generalized_distribution.1674217691.txt.gz · Last modified: 2023/01/20 13:28 by daria