Evaluation of various root transformations of daily precipitation amounts fitted with a normal distribution for Australia

This paper evaluates the various root transformations (2/3, 7/12, 1/2, 5/12, 1/3, and 1/4) of daily precipitation amounts fitted with a truncated normal distribution model for 189 stations across Australia. The results indicate that all stations used in this study can be identified to have a specific root transformation resulting in a “good” fit with a normal distribution and the minimum correlation coefficients (r) fitted with a normal distribution is 0.9925. The 5/12 power transformation leads to the “best” fit with a normal distribution in 47% of stations across Australia. This conclusion could extend the applications of many statistical testing techniques and methods on daily precipitation studies.