Dr Aleksandar S. Nastić
Redovni profesor
Departman za matematiku
Проф. др Александар Настић
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• Рођен 08. 04. 1978. у Београду, Република Србија
• e-mail: aleksadnar.nastic@pmf.edu.rs
Образовање:
• Дипломске академске студије: Природно-математички факултет, Универзитет у Нишу 2003
• Магистарске студије: Природно-математички факултет, Универзитет у Нишу 2008
• Докторске студије: Природно-математички факултет, Универзитет у Нишу 2012
• Мр теза: Non-negative Integer-Valued Autoregressive Processes, (in Serbian), Univ. of Niš, 2008;
• Др теза: Contribution to the Analysis of nonnegative Integer Valued Time Series Generated by Geometric Counting Series (in Serbian), Univ. of Niš, 2012.
Искуство у раду:
На Природно-математички факултету, Универзитета у Нишу ангажован у пуном радном односу као:
• Асистент приправник, 2009 – 2012
• Доцент, 2012- 2015
• Ванредни професор, 2015 - october 2020
• Редовни професор 2020 – до сада
Ангажован и као:
• Професор и ментор на Докторској школи математике
• Професор на Факултету заштите на раду, Универзитета у Нишу
• Професор на основним и докторским студијама Агрономског факултета у Чачку, Универзитета у Крагујевцу
Ангажован на следећим предметима:
• Мултиваријациона анализа
• Теорија узорака и планирање експеримената
• Математичка статистика
• Економетрија
• Статистика
• Теорија одлучивања
• Статистички пакети у еконији
• Статистичко моделирање
• Временски низови у економији
• Регресиона анализа у финасијама
• Регресиона анализа
• Методе статистичке анализе
• Експериментална статистика
Менторства и учешћа у комисијама Докторских дисертација и Мастер радова
• Supervision of 3 PhD disertations and over 30 MPhil thesis
• External Assessor of one foreign PhD thesis
• Participation in over 8 Phd defense committiees
• Participation in more than 40 MPhil defense committiees
Области интересовања:
• Main: Time series analysis
• Other: Regression analysis, Programming in Statistics, Multivariate analysis
Чланство у уредничким одборима научних часописа и научним удружењима:
· Journal of Applied Statistics-SE
· Filomat- SE,
· Communications in Statistics - Theory and methods-SE,
· Communications in Statistics - Simulation and Computation-SE
· Communications in Statistics – Case studies and Data Analysis-SE,
· Facta universitatis- Series in Mathematics and informatics-SE
· ProbStat forum-AE
· Member of the Serbian Scientific Mathematical Society
Истраживачки пројекти и усавршавања:
• Republic Science Foundation of Serbia Grant, Belgrade, the project "Discrete and continuous stochastic models with applications" 1834, (2004)
• Republic Science Foundation of Serbia Grant, Novi Sad, the project "Numerical linear algebra, stochastics and statistics with applications" 144025, (2006-2010)
• Republic Science Foundation of Serbia Grant, Novi Sad, the project "Developement of information computing and processing metods: theory and applications" 174013, (2011-present)
• EC Biomathematics Summer School: “Parameter Estimation in Physiological models”, 13.09.2009 – 26.09.2009. Lipari, Italy, in organization of European Commission and Marie Curie Actions
• Regular and rapid variation and applications, 08.09.2014.-13.09.2014. Vrnjacka Banja, Serbia, in organization of DAAD Project, Center of Excellence for Applications of Mathematics
• MATHDebate-Searching Excellence in Math Education through Increasing the Motivation for Learning, Republic of Macedonia, 01.07.2018.-03.07.2018, Ohrid, Northern Republic of Macedonia, in organization of: Sojuz na istrazhuvachi na Makedonija-SIM Skopje.
• Virtual Learning Environment in University Laboratory Classes, 10.04.2019.-24.04.2019. University of Niš, Faculty of Sciences and Mathematics, in organization of: Centre for Professional Development and NETCHEM project.
Рецензентске активности за часописе:
· Journal of Statistical Planning and Inference,
· Advances in Difference Equations,
· Annals of Data Science,
· Communications in Statistics-Theory and Methods,
· Communications in Statistics: Case Studies and Data Analysis,
· Communications in Statistics: Simulations and Computations,
· Statistica Neerlandica,
· Journal of Applied Mathematics,
· Journal of Applied Statistics
· Statistics and Probability Leters,
· Facta universitatis- Series in Mathematics and informatics,
· Statistical Papers
· Filomat
· ...
Публикације
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Магистарски рад
1. A. S. Nastić (2008) Non-negative Integer-Valued Autoregressive Processes, University of Niš, Faculty of Sciences and Mathematics (in Serbian).
Докторска дисертација
2. A. S. Nastić (2012) Contribution to the Analysis of nonnegative Integer Valued Time Series Generated by Geometric Counting Series, University of Niš, Faculty of Sciences and Mathematics (in Serbian).
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Књиге и уџбеници
1. B. Č. Popović, A. S. Nastić, M. S. Djordjević, Problems in Mathematical Statistics, University of Niš, Faculty of Sciences and Mathematics, 2014, (in Serbian), ISBN 978-86-6275-030-3
2. A. S. Nastić, M. M. Ristić, Decision Theory, University of Niš, Faculty of Sciences and Mathematics, 2018, (in Serbian), ISBN 978-86-6275-078-5
3. M.M. Ristić, A.S. Nastić, B.V. Popović, Mathematical Statistics, University of Niš, Faculty of Sciences and Mathematics, 2021, (in Serbian), ISBN 978-86-6275-118-8
4. M.M. Ristić, A.S. Nastić, M. S. Djordjević, (2022) Time Series Analysis, University of Niš, Faculty of Sciences and Mathematics, 2021, (in Serbian), ISBN: 978-86-6275-136-2
5. M.M. Ristić, A.S. Nastić, B.T. Todorović,(2024) Regression analysis, University of Niš, Faculty of Sciences and Mathematics, 2021, (in Serbian), ISBN: 978-86-6275-161-4
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Научни радови у часописима са импакт фактором
30. M.S. Đorđević, A.S. Nastić (2026) The correlation structure of the latent components of the time series with discrete Laplace marginals and its impact to parameter estimation, Facta Universitatis, Series: Mathematics and Informatics, accepted (M22,)
29. M.S. Stojanović, T.D. Čamagić, A.S. Nastić (2026) Parameter-Controlled Regime-Switching INAR(1) Model in a Random Environment with Modied Negative Binomial Thinning and Innovation-Free Dynamics, Lobachevskii Journal of Mathematics, 2026, Vol. 47, No. 5, pp. 2409–2425. DOI: 10.1134/S1995080226617388 (M22, IF=0,8).
28. M.S. Stojanović, A.S. Nastić, B.A. Pirković (2026) Regime-Switching Random Environment INAR(1) Model with Modified Negative Binomial Thinning and Innovation-Free Dynamics, Lobachevskii Journal of Mathematics, 2026, Vol. 47, No. 4, pp. 1842–1856, DOI: 10.1134/S1995080226616930 (M22, IF=0,8).
27. T.D. Čamagić, A.S. Nastić, M. S. Đorđević (2025) Value-Correlation Controlled Integer-Valued Autoregressive Process in Random Environment, FILOMAT, Filomat 39:21 (2025), 7173–7193 https://doi.org/10.2298/FIL2521173C (M21, IF=0,9)
26. V. Agiwal, A.S. Nastić, H. S. Bakouch (2024) Incorporating Non-Gaussian Stochastic Disturbances in Panel Time Series Models to Account for Structural Breaks, FILOMAT, vol 38, no 21. Filomat 38:21 (2024), 7329–7354, https://doi.org/10.2298/FIL2421329A (M21, IF=0,9)
25. Pirković , B. A., Ristić, M. M., & Nastić, A. S. (2023) Random Environment Integer-Valued Autoregressive Process with Discrete Laplace Marginal Distributions: Accepted: February 2022. Published: 2023-11-09 REVSTAT-Statistical Journal. Vol. 21 No 4. pp. 469–490 (2023) DOI: https://doi.org/10.57805/revstat.v21i4.430 (M22, IF=1,250)
24. Lidija Popović Dragonjić, Maja Jovanović, Miodrag Vrbić,
Aleksandar Nastić, Miodrag Djordjević, Milica Veljković (2022) The Occurrence of Acute Pancreatitis in Adult Patients during a Measles Outbreak from November 2017 to May 2018 in Southeastern Serbia, Medicina 58, no. 11: 1650. https://doi.org/10.3390/medicina58111650 (M21, IF=2,9)23. B. A. Pirkovic, P. N. Laketa, A. S. Nastić (2021) On Generalized Random Environment INAR Models of Higher Order: Estimation of Random Environment States, FILOMAT, вол. 35, бр 13, стр. 4545–4576, https://doi.org/10.2298/FIL2113545P (M21, IF=0.988)
https://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/16879
22. P. M. Popović, P. N. Laketa, A. S. Nastić (2019) Forecasting with two generalized integer-valued autoregressive processes of order one in the mutual random environment, SORT Statistics and Operations Research Transactions, вол. 43, бр.2, стр. 355–384. DOI:10.2436/20.8080.02.92 (M22, IF=1.125)
https://www.idescat.cat/sort/sort432/43.2.8.popovic-etal.pdf
21. P. N. Laketa, A. S. Nastić (2019) Conditional Least Squares Estimation of the Parameters of Higher Order Random Environment Inar Models, , Facta Universitatis, Series: Mathematics and Informatics, Vol. 34, No 3 (2019), 525–535, https://doi.org/10.22190/FUMI1903525L
20. M. M. Ristić, M. Bourguignon, A. S. Nastić (2019) Zero-Inflated NGINAR(1) process, Communications in Statistics - Theory and Methods, вол. 48, бр. 3, стр. 726-741. (M23, IF =0.424)
https://doi.org/10.1080/03610926.2018.1435808
19. A. S. Nastić, P.N. Laketa, M. M. Ristić (2019) Random environment INAR models of higher order, RevStat: Statistical Journal, вол. 17, бр. 1, стр. 35–65. (M23, IF=0.365)
https://www.ine.pt/revstat/pdf/REVSTAT_v17-n1-3.pdf
18. P.N. Laketa , A. S. Nastić, M. M. Ristić (2018) Generalized random environment INAR models of higher order, Mediterranean Journal of Mathematics, вол. 15, бр.1, редни број чланка 9., (M21, IF=1.181)
https://doi.org/10.1007/s00009-017-1054-z
17. A. V. Miletić-Ilić , M. M. Ristić, A. S. Nastić, H. S. Bakouch (2018) An INAR(1) model based on a mixed dependent and independent counting series, Journal of Statistical Computation and Simulation, вол. 88, бр. 2, стр. 290-304. (M22, IF=0.767)
https://doi.org/10.1080/00949655.2017.1388380
16. P. M. Popović , A. S. Nastić, M. M. Ristić (2018) Residual Analysis with Bivariate INAR(1) models, RevStat: Statistical Journal, вол. 16, бр. 3, стр. 349–363. (M23, IF=0.365)
https://www.ine.pt/revstat/pdf/REVSTAT_v16-n3-5.pdf
15. A. S. Nastić, M. M. Ristić, Ana D. Janjić (2017) A mixed thinning based geometric INAR(1) model, Filomat, вол. 31, бр. 13, стр. 4009–4022. (M22, IF= 0.635)
https://doi.org/10.2298/FIL1713009N
14. A.S. Nastić, M. M. Ristić, A. V. Miletić-Ilić (2017) A geometric time series model with an alternative dependent Bernoulli counting series, Communications in Statistics - Theory and Methods, вол. 47, бр. 2, стр. 770-785. (M23, IF=0.353)
https://doi.org/10.1080/03610926.2015.1005100
13. A. S. Nastić, P.N. Laketa, M. M. Ristić (2016) Random Environment Integer-Valued Autoregressive process, Journal of Time Series Analysis, вол.37, бр. 2, стр. 267–287. (M22, IF=0.975)
https://doi.org/10.1111/jtsa.12161
12. P. M. Popović, M. M. Ristić, A. S. Nastić (2016) A geometric bivariate time series with different marginal parameters, Statistical Papers, вол. 57, бр.3, стр. 731-753. (M22, IF=0.727)
https://doi.org/10.1007/s00362-015-0677-z
11. A. S. Nastić, M. M. Ristić, M. Djordjević (2016) An INAR model with discrete Laplace marginal distributions, Brazilian Journal of Probability and Statistics, вол. 30, бр. 1, стр. 107–126. DOI: 10.1214/14-BJPS262 (M23, IF=0.419)
https://projecteuclid.org/euclid.bjps/1453211805
10. A. S. Nastić, M. M. Ristić, P. M. Popović (2016) Estimation in a Bivariate Integer-Valued Autoregressive Process, Communications in Statistics - Theory and Methods, вол. 45, бр. 19, стр. 5660 - 5678. (M23, IF=0.311)
https://doi.org/10.1080/03610926.2014.948203
9. M. M. Ristić, A. S. Nastić, A. V. Miletić-Ilić (2013) A geometric time series model with dependent Bernoulli counting series, Journal of Time Series Analysis, вол. 34, бр. 4,стр. 466-476. (M22, IF=0.808)
https://doi.org/10.1111/jtsa.12023
8. M. M. Ristić, A. S. Nastić, K. Jayakumar, H. S. Bakouch (2012) A bivariate INAR(1) time series model with geometric marginals, Applied Mathematics Letters, вол. 25, бр. 3, стр. 481-485. (M21, IF=1.501)
https://doi.org/10.1016/j.aml.2011.09.040
7. A. S. Nastić, M. M. Ristić, H. S. Bakouch (2012) A combined geometric INAR(p) model based on negative binomial thinning, Mathematical and Computer Modelling, вол. 55, бр. 5-6, стр. 1665-1672., (M21a, IF=1.420)
https://doi.org/10.1016/j.mcm.2011.10.080
6. M. M. Ristić, A. S. Nastić (2012) A mixed INAR(p) model, Journal of Time Series Analysis вол. 33, бр. 6, стр. 903–915. (M22, IF=0.787)
https://doi.org/10.1111/j.1467-9892.2012.00806.x
5. A. S. Nastić. (2012), On shifted geometric INAR(1) models based on geometric counting series, Communications in Statistics - Theory and Methods, вол. 41, бр. 23, стр. 4285-4301. (M23, IF=0.298)
https://doi.org/10.1080/03610926.2011.573164
4. A. S. Nastić, M. M. Ristić (2012) Some geometric mixed integer-valued autoregressive (INAR) models, Statistics and Probability Letters, вол. 82, бр. 4, стр. 805-811. (M23, IF=0.531)
https://doi.org/10.1016/j.spl.2012.01.007
3. M. M. Ristić, A. S. Nastić, H. S. Bakouch (2012) Estimation in an integer-valued autoregressive process with negative binomial marginals (NBINAR(1)), Communications in Statistics - Theory and Methods, вол. 41, бр. 4, стр. 606-618. (M23, IF=0.298)
https://doi.org/10.1080/03610926.2010.529528
2. M. M. Ristić, H. S. Bakouch, A. S. Nastić (2009) A New Geometric First-Order Integer-Valued Autoregressive (NGINAR(1)) Process, Journal of Statistical Planning and Inference, вол. 139, бр. 7, стр. 2218-2226. (M23, IF=0.725)
https://doi.org/10.1016/j.jspi.2008.10.007
1. M. M. Ristić, B. Č, Popović, A. Nastić, M. Djordjević (2008), A bivariate Marshall and Olkin exponential minification process, Filomat , вол. 22, бр.1, стр. 69-75. (M23, IF=0.101). http://operator.pmf.ni.ac.rs/www/pmf/publikacije/filomat/2008/22-1-2008/f22-1-7.pdf
Остали научни резултати
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2. P. N. Laketa, A. S. Nastić, (2019) Conditional least squares estimation of the parameters of higher order Random environment INAR models, Facta Universitatis, Series: Mathematics and Informatics, вол. 34, бр. 3, стр. 525-535. https://doi.org/10.22190/FUMI1903525L (M51)
http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/4316
1. A. S. Nastić, (2014), On suitability of negative binomial marginal and geometric counting sequence in some applications of combined INAR(p) model, Facta Universitatis, Series: Mathematics and Informatics, 29:1, 25-42. (M51)
http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/download/160/pdf
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1. A. S. Nastić, (2024), On Random Environment Integer-valued Autoregressive Models, XV SERBIAN MATHEMATICAL CONGRESS, june, 19–22, 2024.Belgrade, Serbia, ISBN 978-86-7589-191-8; COBISS.SR-ID 146969609
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1. M. Andjelkovic-Pesic, A. S. Nastić, (2007): The theory of constraints significance for product mix improvement, Proceedings of the International Conference in Economics- Izazovi ekonomske nauke i prakse u procesu pridruzivanja Evropskoj uniji, str. 273-282, October 18-19, 2007, Faculty of Economics, University of Nis, Serbia. ISBN - 978-86-85099-61-8, COBISS.SR-ID – 145449740.
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16. A. S. Nastić (2023) Adaptive applicability of the Random Environment INAR models, 19th International Conference - Applied Statistics 2023/ Koper/Capodistria, Slovenia, 24-26 September 2023. https://as.mf.uni-lj.si/pdf/as2023book.pdf
15. A. S. Nastić (2022) Application of linear regression in modeling relations of health parameters, “EU eHealth Law and Public Health” Ohrid, Republic of North Macedonia, 26-30 September 2022
14. Pirković, B. A., Laketa, P. N., Nastić, A. S. (2021) Random environment estimation method for generalized random environment INAR models of higher order, International Workshop on Nonlinear Analysis and its Applications, Niš, October 13-16, 2021. (Book of abstracts-p. 40).
13. M. M. Ristić, A. S. Nastić, P. M. Popović, P.N. Laketa, (2020) ON MODELING TIME SERIES OF COUNTS USING INAR MODELS, 9th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2020), August 25-28, 2020, Skopje – MACEDONIA
12. A. S. Nastić, P.N. Laketa, M. M. Ristić, (2019) On Random Environment Integer-Valued Autoregressive Process, Applied Statistics 2019 - 16th International Conference, September 22-25, 2019, Ribno (Bled), Slovenia.
http://conferences.nib.si/AS2019/.
11. A. S. Nastić, P.N. Laketa, M. M. Ristić (2018) ON RANDOM ENVIRONMENT INAR MODELS OF HIGHER AND VARIABLE ORDER, International Conference: Algebra and Analysis with Application, July, 1-4 2018, Ohrid, Republic of Macedonia.
10. A. S. Nastić, M. M. Ristić, M.S. Đorđević (2018) APPLICATION OF INAR MODEL WITH DISCRETE LAPLACE MARGINAL DISTRIBUTION, International Conference: Algebra and Analysis with Application, July, 1-4 2018, Ohrid, Republic of Macedonia.
9. M. M. Ristić, A. S. Nastić, M.S. Đorđević (2018) New estimators for the parameters of the SDLINAR(1) model, XIV Sebian Mathematical Congress, May 16–19, 2018, Kragujevac, Serbia, ISBN 978-86-6009-055-5 . https://imi.pmf.kg.ac.rs/kongres/assets/Book_of_abstract_SMAK2018.pdf
https://imi.pmf.kg.ac.rs/kongres
8. A. S. Nastić, P.N. Laketa (2018) Conditional least squares estimation of the parameters of Random environment INAR models of higher order, XIV Sebian Mathematical Congress, May 16–19, 2018, Kragujevac, Serbia, ISBN 978-86-6009-055-5 . https://imi.pmf.kg.ac.rs/kongres/assets/Book_of_abstract_SMAK2018.pdf
https://imi.pmf.kg.ac.rs/kongres
7. A. S. Nastić, P.N. Laketa, M. M. Ristić (2016) Random Environment Integer-Valued Autoregressive process, International Conference Mathematics: Applied, August 21-24, 2016, Ohrid, Republic of Macedonia.
6. A. S. Nastić, M. M. Ristić, P. M. Popović (2014) On suitability of negative binomial marginal and geometric counting sequence in some applications of combined INAR(p) model, Applied Statistics 2014 - 11th International Conference, September 21-24, 2014, Ribno (Bled), Slovenia, ISBN 978-961-93547-2-8, COBISS.SI-ID 275376896 . http://conferences.nib.si/AS2014/AS2014-Abstracts.pdf
http://conferences.nib.si/AS2014/.
5. P. B. Popović, A. S. Nastić, M. M. Ristić (2014) Bivariate autoregressive models in time series of counts forecasting, 13th Serbian Mathematical Congress, May 22-25, 2014, Vrnjačka Banja,
http://tesla.pmf.ni.ac.rs/people/smak/book_of_abstracts.pdf
http://tesla.pmf.ni.ac.rs/people/smak/index.php.
4. A. S. Nastić, M. M. Ristić (2014) On outperforming binomial thinning operator using geometric counting sequence in some real-life situations, 13th Serbian Mathematical Congress, May 22-25, 2014, Vrnjačka Banja . http://tesla.pmf.ni.ac.rs/people/smak/book_of_abstracts.pdf
http://tesla.pmf.ni.ac.rs/people/smak/index.php
3. M. M. Ristić, A. S. Nastić, P. M. Popović (2013), Bivariate models for time series of counts, International Conference Applied Statistics 2013, September 22-25, 2013, Ribno (Bled), Slovenia,
http://conferences.nib.si/AS2013/AS2013-Abstracts.pdf
http://conferences.nib.si/AS2013/.
2. A. S. Nastić, M. M. Ristić, H. S. Bakouch (2010), A combined geometric INAR(p) model based on negative binomial thinning, Analysis, Topology and Applications 2010 (ATA2010), June 20-25, 2010, Vrnjačka Banja,
http://www.moravica.ftn.kg.ac.rs/ATA2010/.
1. M. M. Ristić, B. Č. Popović, A. S. Nastić, M. Đorđević (2006): A bivariate Marshall and Olkin exponential minification process, International Mathematical Conference, Topics in Mathematical Analysis and Graph Theory, MAGT 2006, August 31.-September 4, Belgrade,
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5. P. M. Popović, M. M. Ristić, A. S. Nastić, (2016) Analysis of prediction errors generated by BINAR(1) models, Cetvrta nacionalna konferencija-Teorija informacija i kompleksni sistemi, TINKOS 2016, 27.-28. oktobar 2016, Niš, Srbija,
http://www.tinkos.cosrec.org/zbornici/tinkos_2016.pdf
4. P. M. Popović, M. M. Ristić, A. S. Nastić (2015) Random coefficient bivariate INAR(1) model with dependent innovation processes, Peta nacionalna konferencija “Verovatnosne logike I njihove primene”, 29. i 30. oktobar 2015, Mathematical Institute, SANU, Beograd, Srbija. http://www.mi.sanu.ac.rs/conferences/vlp_2015.pdf
3. P. M. Popović, M. M. Ristić, A. S. Nastić (2014) Estimation Methods in Bivariate Autoregressive Time Series of Counts, Četvrta nacionalna konferencija “Verovatnosne logike i njihove primene”, 2. i 3. oktobar 2014, Mathematical Institute, SANU, Beograd, Srbija. http://www.mi.sanu.ac.rs/novi_sajt/documents/vlp.pdf
2. P. M. Popović, A. S. Nastić, M. M. Ristić (2014) On Modelling Bivariate Time Series Of Counts, Druga nacionalna konferencija-Teorija informacija i kompleksni sistemi, TINKOS 2014, 16.-17. jun 2014, Niš, Srbija,
http://www.tinkos.cosrec.org/zbornici/tinkos_2014.pdf.
1. M. M. Ristić, P. M. Popović, A. S. Nastić (2012) INAR Models and Application, Druga nacionalna konferencija “Verovatnosne logike i njihove primene”, 27. i 28. septembar 2012, Mathematical Institute, SANU, Beograd, Srbija . http://elibrary.matf.bg.ac.rs/bitstream/handle/123456789/2250/knji%20aps%20f%20r.pdf?sequence=1