Abstract
Statistics of skewness and kurtosis distributions and their basic parameters for a set of samples of certain small numbers of elements are find. These distributions were determined using the Monte Carlo method. The samples were repeatedly taken at random from a normally distributed population and for comparison from the population of a two other simple distributions. Knowledge about statistics of skewness and kurtosis should allow to obtain a more reliable estimate of the standard deviation and the uncertainty of the measurand value estimator from samples of a small number of measurement observations, when range of their value distribution is known.
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© 2015 Springer International Publishing Switzerland
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Warsza, Z.L., Korczyński, M.J. (2015). Statistical Properties of Skewness and Kurtosis of Small Samples from Normal and Two Other Populations. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Progress in Automation, Robotics and Measuring Techniques. Advances in Intelligent Systems and Computing, vol 352. Springer, Cham. https://doi.org/10.1007/978-3-319-15835-8_32
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DOI: https://doi.org/10.1007/978-3-319-15835-8_32
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15834-1
Online ISBN: 978-3-319-15835-8
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