Processing of the random observations with Flatten — Gaussian distribution by approximate order statistics method

In the paper the method based on order statistics for processing of the random observations with so called Flatten - Gaussian distribution that is a convolution of rectangular and normal distributions, is proposed. This method gives a smaller standard uncertainty of a location parameter compared to a standard uncertainty of a mean value. The efficiency of the method increases with the increase content of the uniform component. The implementation of the proposed method does not require complicated calculations and based on an analytical expression of a normalized Flatten - Gaussian density distribution. The research results of method, which are the standard uncertainty depending on the relative content of components and the number of observations, are presented.