Geodesic
Risk function of statistical procedures for network structures identification
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2017), pp. 45-59

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

Problems of network structures identification by sample of fixed size are considered. The concepts of random variables network and network model as complete weighted graph are introduced. Two types of network structures are introduced: network structures with fixed and arbitrary numbers of network model elements. Problems of network structures identification as multiple decision problems are considered. It is proved that risk functions of statistical procedures for network structures identification can be considered as linear combination of mean numbers of errors of incorrect inclusions and exclusions elements from network model to network structure.
Keywords: random variables network, network model, network structure, identification procedure, first kind errors, second kind errors, additive loss, risk function. 
@article{VTPMK_2017_3_a3,
     author = {P. A. Koldanov},
     title = {Risk function of statistical procedures for network structures identification},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {45--59},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2017_3_a3/}
}
TY  - JOUR
AU  - P. A. Koldanov
TI  - Risk function of statistical procedures for network structures identification
JO  - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
PY  - 2017
SP  - 45
EP  - 59
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTPMK_2017_3_a3/
LA  - ru
ID  - VTPMK_2017_3_a3
ER  - 
%0 Journal Article
%A P. A. Koldanov
%T Risk function of statistical procedures for network structures identification
%J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika
%D 2017
%P 45-59
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTPMK_2017_3_a3/
%G ru
%F VTPMK_2017_3_a3
P. A. Koldanov. Risk function of statistical procedures for network structures identification. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2017), pp. 45-59. http://geodesic.mathdoc.fr/item/VTPMK_2017_3_a3/