The accuracy of statistical computing of the standard deviation of a random variable

Energy Management of Municipal Transportation Facilities and Transport - EMMFT 2017

Lebed, E.V.^1

Moscow State University of Civil Engineering, Yaroslavskoye Shosse 26, Moscow

129337, Russia^1

关键词: Assembly error;    Chi-square distribution;    Framed structure;    Mean square values;    Random Numbers;    Standard deviation;    Standard values;    Statistical computing;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/90/1/012150/pdf
DOI  :  10.1088/1755-1315/90/1/012150

来源: IOP

【 摘 要 】

Standard deviation is the main characteristic of statistical investigation of assembly errors of space framed structures. Due to this reason, it is important to have the instrument for the evaluation of the accuracy of the standard deviation of a random variable. The paper establishes the connection between the level of reliability and the accuracy of calculating the standard values. Histograms of the distribution of random numbers subject to the normal law are given for different sample sizes. The dependence of the accuracy of the calculation of the mean-square value on the sample size is shown. Using the tabulated values of chi-square distribution, the dependence is derived between the accuracy of the standard deviation and the sample size for different levels of reliability. These dependencies are presented in the form of diagrams.