Financial Risk Forecasting Using Naїve and Tree Augmented Classifier Based on Bayesian Networks

Authors

DOI:

https://doi.org/10.20535/1810-0546.2016.2.63882

Keywords:

Intellectual data analysis, Bayesian networks, Credit scoring, Financial analysis, Macroeconomic indicators

Abstract

Background. Development and study of characteristics for naïve and tree-augmented classifiers in the form of Bayesian networks in the problem of credit risk estimation.

Objective. To perform estimation of classification quality for the bank credit borrowers using Bayesian classifiers of two types.

Methods. Development of necessary mathematical tools and performing computational experiments aiming towards constructing classifiers in the form of Bayesian networks using actual statistical data characterizing solvency of bank credit borrowers.

Results. The following results were achieved: the methodology of constructing and application of the naïve and tree-augmented Bayesian classifiers for solving the problem of solvency estimation for bank credit borrowers; an analysis of computational algorithmic complexity was performed; two classification models were constructed in the form of Bayesian networks using actual statistical data from banking system; a comparative analysis was performed for the models developed.

Conclusions. It was established that the tree-augmented classifier exhibits higher computational complexity than the naïve Bayesian one, but it showed higher classification results while solving the problem of bank clients classification into two groups: those who return the credits and those who don’t.

Author Biographies

Олександр Миколайович Терентьєв, ESC IASA NTUU KPI

Oleksandr N. Terentiev, PhD, research fellow

Вікторія Едуардівна Кириченко, ESC IASA NTUU KPI

Viktoriia E. Kyrychenko, magistrand

Наталія Олександрівна Связінська, ESC IASA NTUU KPI

Nataliia O. Sviazinska, magistrand

Тетяна Іванівна Просянкіна-Жарова, Uman Branch of European University

Tetyana I. Prosyankina-Zharova, associate professor at the Department of Economy, Information Systems and Technologies and Mathematical Disciplines

References

J.K. Shim and J.G. Siegel, Schaum’s Outline of Theory and Problems of Financial Management. New York: McGraw-Hill, 1998, 517 p.

J.Ph. Bouchard and M. Potters, From Statistical Physics to Risk Management. Cambridge: Cambridge University Press, 2000, 218 p.

R. Gallati, Risk Management and Capital Adequacy. New York: McGraw-Hill, 2003, 577 p.

A. Darwiche, Modeling and Reasoning with Bayesian Networks. Cambridge: Cambridge University Press, 2009, 548 p.

K.B. Korb and A.E. Nicholson, Bayesian Artificial Intelligence. London, UK: CRC Press Company, 2004, 365 p.

M. Zgurovsky et al., Bayesian Networks in Decision Support Systems. Kyiv, Ukraine: Edelveis Publ., 2015, 300 p. (in Ukrainian).

R.M. Neal, Probabilstic Inference Using MCMC Methods. Toronto: University of Toronto, 1993, 144 p.

H. Padmanaban, “Comparative analysis of Naive Bayes and tree augmented naïve Bayes models”, M.S. thesis, San José State University, 2014.

K. Naveen et al., “Implementation of naïve Bayesian classifier and ada-boost algorithm using maize expert system”, Int. J. Inform. Sci. Techniques, no. 3, pp. 63–75, 2012.

A. Terentyev et al., SAS BASE: Programming Basics. Kyiv, Ukraine: Edelveis Publ., 2015, 304 p. (in Russian).

SAS Enterprise Miner 13.2: Reference Help, SAS Documentation, SAS Institute Inc., Cary, 2015, 320 p.

Published

2016-03-21

Issue

Section

Art