naa a22 4500 510732690 CHVBK 20180411082958.0 cr unu---uuuuu 180411e20131101xx s 000 0 eng 10.1134/S1063772913110048 doi (NATIONALLICENCE)springer-10.1134/S1063772913110048 Malkin Z. Central (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia aut On the calculation of mean-weighted value in astronomy [Elektronische Daten] [Z. Malkin] Although the calculation of the weighted mean of several individual values (one of the most frequently used operations in scientific analysis) is straightforward, the calculation of the corresponding uncertainty does not always receive the attention it requires. The application of methods of classical statistics to real observational data is often not justified, since the assumptions lying at the basis of these methods are not satisfied. The presence of systematic uncertainties in the averaged measurements and underestimation of the corresponding random errors used to define the weights are typical examples. A new approach to calculating the uncertainty of weighted mean based on a combination of known methods is considered. The proposed method makes it possible to automatically take into account both the random errors and scatter of the input data, making the method suitable for determining realistic errors for mean values in the case of observational data displaying both good and poor consistency. Pleiades Publishing, Ltd., 2013 Astronomy Reports Springer US; http://www.springer-ny.com 57/11(2013-11-01), 882-887 1063-7729 57:11<882 2013 57 11444 https://doi.org/10.1134/S1063772913110048 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S1063772913110048 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Malkin Z. Central (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Astronomy Reports Springer US; http://www.springer-ny.com 57/11(2013-11-01), 882-887 1063-7729 57:11<882 2013 57 11444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer