The Metalog Distributions

ELD Metalog Equations

The ELD (Equally Likely Data) metalog equations (unbounded, semi-bounded, and bounded) are identical to the respective general metalog equations, except that instead of having (x,y) cdf input parameters, only x is required.  y is computed automatically.

The ELD Metalogs Workbook assumes that the input data x = (x1, ... xm) is already ordered from lowest to highest. For each xi the corresponding CDF probability yi is calculated as yi = (i+1)/m.  This effectively assigns an equal probability of 1/m to each of the m xi's.