DOI
10.34229/KCA2522-9664.25.5.15
UDC 519.281.528.11:004.3
J.V. Dzhun
Academician Stepan Demianchuk International University of Economics and Humanities,
Rivne, Ukraine, 
dzhun-yosyp@gmail.com
A.M. Yasinsky
Academician Stepan Demianchuk International University of Economics and Humanities,
Rivne, Ukraine, andrijasinskij19@gmail.com
A.V. Shportko
Academician Stepan Demianchuk International University of Economics and Humanities,
Rivne, Ukraine, ITShportko@gmail.com
L.Ya. Solovei
Academician Stepan Demianchuk International University of Economics and Humanities,
Rivne, Ukraine, lyuda_solovej@ukr.net
SOFTWARE IMPLEMENTATION OF A NUMERICAL METHOD FOR OBTAINING
MMP-ESTIMATES OF PARAMETERS OF THE JEFFRIES MODIFICATION
OF THE PEARSON DISTRIBUTION OF TYPE VII
Abstract. A numerical method for obtaining MMP-estimates of the three-parameter Pearson distribution of type VII with a diagonal information
matrix (PJ-distribution) is considered, which the famous Cambridge professor G. Jeffries recommends using as a general law of errors of large-scale observations. An algorithm for obtaining MMP-estimates of the -distribution by a step-by-step method that does not require differentiation of the maximum likelihood function is described. A software implementation for step-by-step calculation of MMP estimates of -distribution parameters in the C++ programming language and the results of its application to find these estimates from the residual error distribution data of laser observations of artificial Earth satellites obtained in the international MERIT project are presented.
Keywords: MMP estimates of distribution parameters, maximum likelihood function, three-parameter PJ-distribution, programming in C++.
full text
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