Geodesic
A probabilistic relation between the error estimates of physical quantities obtained by different methods
Numerical methods and programming, Tome 15 (2014) no. 4, pp. 677-684.

Voir la notice de l'article provenant de la source Math-Net.Ru

A distribution function for the ratio of the error estimates of physical quantities calculated using the confidence region method (based on the chi-square statistics) to the errors estimates calculated using the least-squares method is obtained. If the analytical form of this function is used, then the most probable values of the error estimates calculated by the confidence region method can easily be obtained using only the error estimates calculated by the least-squares method (without new observational data processing). Apart from a purely mathematical interest, this paper is of interest to experimenters involved in the processing of observational data, in particular, in the processing of astrophysical observations.
Keywords: least-squares method, statistics, confidence interval, chi-square, confidence region method, error estimates, processing of observational data. 
@article{VMP_2014_15_4_a12,
     author = {M. K. Abubekerov and N. Yu. Gostev},
     title = {A probabilistic relation between the error estimates of physical quantities obtained by different methods},
     journal = {Numerical methods and programming},
     pages = {677--684},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a12/}
}
TY  - JOUR
AU  - M. K. Abubekerov
AU  - N. Yu. Gostev
TI  - A probabilistic relation between the error estimates of physical quantities obtained by different methods
JO  - Numerical methods and programming
PY  - 2014
SP  - 677
EP  - 684
VL  - 15
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a12/
LA  - ru
ID  - VMP_2014_15_4_a12
ER  - 
%0 Journal Article
%A M. K. Abubekerov
%A N. Yu. Gostev
%T A probabilistic relation between the error estimates of physical quantities obtained by different methods
%J Numerical methods and programming
%D 2014
%P 677-684
%V 15
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a12/
%G ru
%F VMP_2014_15_4_a12
M. K. Abubekerov; N. Yu. Gostev. A probabilistic relation between the error estimates of physical quantities obtained by different methods. Numerical methods and programming, Tome 15 (2014) no. 4, pp. 677-684. http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a12/