Approximation of experimental data distribution by close to gaussian random variable models
Abstract
In the paper analytic expressions of approximating functions on the basis of models with perforated cumulant description are obtained. Densities of the distribution of various models, close to the Gaussian random variables, are built, the comparison with empirical distribution density is made and the value of approximation errors for each model class is found. It is shown that the models based on perforated cumulant description are an effective tool for approximating real statistical data of different nature
Keywords
approximation, number of Edgeworth, cumulant coefficients, close to the Gaussian random variables, perforation of cumulant description
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