A universal solution of the problem of estimating parameters of an a priori given arbitrary distribution by the data of a repeated experiment is presented. The properties of the solution with the structure of the uncertainty function have been analyzed. The algorithm converting data of an n-fold experiment and a priori information given in the form of a standardized distribution into estimates of the measured parameter value given as an uncertainty function has been investigated. Variants of simplifying the algorithm in conformity with practical requirements have been considered.
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E. V. Chernukho, Estimation of arbitrary-distribution parameters from the data of a repetitive experiment, Inzh.-Fiz. Zh., 83, No. 2, 403–409 (2010).
E. V. Chernukho, Substantiation of the rank measure as an effi cient statistic for estimating parameters of distribution of arbitrary form, Inzh.-Fiz. Zh., 85, No. 1, 220–229 (2012).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 86, No. 4, pp. 917–925, July–August, 2013.
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Chernukho, E.V. Universal Algorithm for Estimating the Measured Value by the Data of a Repeated Experiment and Its Simplification. J Eng Phys Thermophy 86, 976–985 (2013). https://doi.org/10.1007/s10891-013-0918-8
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DOI: https://doi.org/10.1007/s10891-013-0918-8