Relation between Logarithmic Ordered Size Distribution

Ordered size distribution of logarithmical type can be applied sometimes to the experimental distribution curve which may be resulted from random causes. The present paper explains this distribution is one of approximate method of Gaussian distribution as follows: 1) Ordered size distribution deals only a large positive portion among a distribution and Gaussian one does the whole，and any values of positive and negative. 2)Logarithmic ordered size distr:lbution can be available when both ranges of order and variables are nearly equal，where the range means the ratio between the maximum value and the minimum. When both ranges are nearly equal， the logarithmical type can be available，and elsewise the power type does. 3) For example，two constants in the ordered size distribution can be decided from the three constants in Gaussian one and allowable approximation error