I want to know about the Probability Distribution Functions (PDF). Which one is the best method (out of Chi-Square, Kolmogorov-Smirnov and Anderson-Darling) to see if the PDF represents the availabe data well? Moreover, what does it signify (in physical sense i.e. growth, decay etc), if a data shows

1. Log-Normal Distribution

2. Wakeby Distribution

3. Beta or Kumaraswamy Distribution

Thanx.

__PS:__Thanks for the previous help, Ackbeet.