Properties of median under drift of one of group of measuring instruments (on the example of uniform distribution)

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The detailed derivation of the formulas for calculation of expected value and dispersion of the median is presented. Thus the uniform law of distribution is considered and it is supposed that data from one of the group of measuring instruments are subject to drift. The number of measuring instruments is odd, therefore as a median we take only one value which appeared in the middle of the sorted list. For the uniform law of distribution it was possible to take integrals and to receive exact analytical formulas, - at some values of the size of drift. The results of calculations, which allow to compare the parameters of the median and arithmetic mean, and also to form the expert opinion on the necessary number of measuring instruments, are presented.

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Median, arithmetic mean, expected value, dispersion, sensitivity drift

Короткий адрес: https://sciup.org/14265026

IDR: 14265026

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