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## Invariance Properties of Statistical Procedures for Network Structures Identification

P. 289-297.

Invariance properties of statistical procedures for threshold graph identification are considered. An optimal procedure in the class of invariant multiple decision procedures is constructed.

### In book

Valery A. Kalyagin, Panos M. Pardalos, Oleg Prokopyev, Irina Utkina Vol. 247. , Springer, 2018

Koldanov P., Ученые записки Казанского университета. Серия: Физико-математические науки 2018 Vol. 160 No. 2 P. 317-326

Identification of network structures using the finite-size sample has been considered.
The concepts of random variables network and network model, which is a complete weighted
graph, have been introduced. Two types of network structures have been investigated: network
structures with an arbitrary number of elements and network structures with a fixed number
of elements of the network model. The ...

Added: February 13, 2019

Koldanov P., Journal of Mathematical Sciences 2020 Vol. 248 No. 1 P. 129-137

It is proved that sign network with elliptical distribution with known shift parameter is equivalent
to sign network with elliptical distribution with unknown shift parameter estimated as sample mean.
This result is proved for the case of independent identically distributed observation and for the case
of sample from matrix elliptically contoured distribution with any dependence between observations. ...

Added: May 31, 2020

Koldanov A. P., Voronina M., , in : Computational Aspects and Applications in Large-Scale Networks. Springer Proceedings in Mathematics & Statistics. Vol. 247.: Springer, 2018. P. 135-142.

Market network analysis attracts a growing attention last decades. One of the most important problems related with it is the detection of dynamics in market network. In the present paper, the stock market network of stock’s returns is considered. Probability of sign coincidence of stock’s returns is used as the measure of similarity between stocks. ...

Added: October 11, 2018

Isaeva O., Savinova S. Y., В кн. : Герценовские чтения: психологические исследования в образовании. Материалы I Международной научно-практической конференции. Ч. 1.: СПб. : Издательство РГПУ им. А.И. Герцена, 2018. С. 77-82.

Emotional intelligence is regarded as one of the most important professional competencies of managers and specialists in human resources services. The efficiency of the whole company depends on the extent to which an HR manager is able to identify his or her emotions, the emotions of clients and employees, and also the way he or ...

Added: October 29, 2018

Kalyagin V. A., Koldanov A. P., Koldanov P. et al., Springer, 2020

This book studies complex systems with elements represented by random variables. Its main goal is to study and compare uncertainty of algorithms of network structure identification with applications to market network analysis. For this, a mathematical model of random variable network is introduced, uncertainty of identification procedure is defined through a risk function, random variables ...

Added: September 10, 2020

Koldanov A. P., Koldanov P., Semenov D., Журнал Новой экономической ассоциации 2021 Т. 2 № 50 С. 12-34

. The problem of analysis of pairwise connections between stocks of financial market by observations on stock returns is considered. Such problem arise in stock market network analysis. It is assumed that joint distribution of stock returns belongs to the wide class of elliptical distributions. Classical Pearson correlation, Fechner correlation and Kendall correlation are used ...

Added: June 17, 2021

Semenov D., Koldanov A. P., Koldanov P. et al., IMA Journal Management Mathematics 2022 Vol. 33 No. 1 P. 123-137

Two market network models are investigated. One of them is based on the classical Pearson correlation
as the measure of association between stocks returns, whereas the second one is based on the
sign similarity measure of association between stocks returns. We study the uncertainty of
identification procedures for the following market network characteristics: distribution of weights
of edges, vertex ...

Added: December 7, 2020

Kalyagin V. A., Koldanov A. P., Pardalos P. M., Annals of Mathematics and Artificial Intelligence 2016 Vol. 76 No. 1 P. 83-92

The main goal of the present paper is the development of a general framework of multivariate network analysis of statistical data sets. A general method of multivariate network construction, on the basis of measures of association, is proposed. In this paper we consider Pearson correlation network, sign similarity network, Fechner correlation network, Kruskal correlation network, ...

Added: September 7, 2015

Koldanov P., Advances in Computer Science Research 2019 P. 50-55

The concept of random variables network used to model the complex system of random nature is discussed. The problem of threshold graph identication to network analysis of the complex system is considered as multiple decision statistical procedure. The properties of robustness of dierent tests for testing individual hypotheses for threshold graph identication are investigated by ...

Added: December 7, 2019

Isaeva O., Vasilyeva E. N., Savinova S. Y., Н. Новгород : НИУ РАНХиГС, 2019

В монографии обоснована необходимость развития эмоционального интеллекта в профессиональной подготовке HR-менеджеров и представлены пути его развития: описана сетевая модель развития эмоционального интеллекта студентов – будущих HR – менеджеров в НИУ ВШЭ – Нижний Новгород и тренинг «Развитие эмоционального интеллекта».
Информация, содержащаяся в монографии, может быть использована руководителями и HR – менеджерами организаций в ходе их практической ...

Added: December 25, 2019

Mordvintseva V., Вестник древней истории 2020 Т. 80 № 4 С. 1062-1083

The assumption that cultures are clearly defined, essentially self-contained entities has
been subjected to serious doubt in modern archaeology which needs to be reflected also
in Sarmatian studies. Such concepts as ‘Sarmatians’, ‘Sarmatian period’ and ‘Sarmatian
archaeological culture(s)’ are widely used in archaeological literature. However, the
monuments of the different macro-regions that are usually connected in scholarship with
the various ...

Added: December 8, 2020