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Analysis of intentional lethal violent crimes: A sliding windows approach

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  • da Silva Filho, A.M.
  • Zebende, G.F.
  • Guedes, E.F.

Abstract

This paper analyzes the fluctuations in time series of intentional lethal violent crime rates in Salvador, Bahia, Brazil from 2012 to 2018. The modeling proposed was performed with two main strategies: first, the descriptive of the series under study was defined using the sliding window approach, as determined by autocorrelation from Detrended Fluctuation Analysis (DFA), also with sliding window. Results of this research indicate that the series of DFA exponents, depending on the window (365 or 1000 days) and period, have oscillated between persistent, antipersistent and out of memory. Descriptive analysis identified reduction in the average crime rates from 2013 and a behavioral pattern among other moments. These findings will serve as another methodological proposal for monitoring, control and management of criminal indicators and research on them.

Suggested Citation

  • da Silva Filho, A.M. & Zebende, G.F. & Guedes, E.F., 2021. "Analysis of intentional lethal violent crimes: A sliding windows approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    • Handle: RePEc:eee:phsmap:v:567:y:2021:i:c:s0378437120309511
    DOI: 10.1016/j.physa.2020.125653
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    References listed on IDEAS

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    1. Zebende, G.F. & da Silva Filho, A.M., 2018. "Detrended Multiple Cross-Correlation Coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 91-97.
    2. Xudong Wang & Xiaofeng Hui, 2017. "Mutual Information Based Analysis for the Distribution of Financial Contagion in Stock Markets," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-13, October.
    3. da Silva, Marcus Fernandes & de Area Leão Pereira, Éder Johnson & da Silva Filho, Aloisio Machado & de Castro, Arleys Pereira Nunes & Miranda, José Garcia Vivas & Zebende, Gilney Figueira, 2016. "Quantifying the contagion effect of the 2008 financial crisis between the G7 countries (by GDP nominal)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 1-8.
    4. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    5. He, Ling-Yun & Chen, Shu-Peng, 2011. "A new approach to quantify power-law cross-correlation and its application to commodity markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3806-3814.
    6. Yanhui Liu & Parameswaran Gopikrishnan & Pierre Cizeau & Martin Meyer & Chung-Kang Peng & H. Eugene Stanley, 1999. "The statistical properties of the volatility of price fluctuations," Papers cond-mat/9903369, arXiv.org, revised Mar 1999.
    7. Ruan, Yong-Ping & Zhou, Wei-Xing, 2011. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1646-1654.
    8. Ferreira, Paulo, 2018. "Long-range dependencies of Eastern European stock markets: A dynamic detrended analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 454-470.
    9. Machado Filho, A. & da Silva, M.F. & Zebende, G.F., 2014. "Autocorrelation and cross-correlation in time series of homicide and attempted homicide," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 12-19.
    10. Guedes, E.F. & Zebende, G.F., 2019. "DCCA cross-correlation coefficient with sliding windows approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    11. Guedes, E.F. & Brito, A.A. & Oliveira Filho, F.M. & Fernandez, B.F. & de Castro, A.P.N. & da Silva Filho, A.M. & Zebende, G.F., 2018. "Statistical test for ΔρDCCA cross-correlation coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 134-140.
    12. Zebende, G.F. & da Silva, M.F. & Machado Filho, A., 2013. "DCCA cross-correlation coefficient differentiation: Theoretical and practical approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1756-1761.
    13. Zebende, G.F. & da Silva, P.A. & Machado Filho, A., 2011. "Study of cross-correlation in a self-affine time series of taxi accidents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1677-1683.
    14. Zebende, G.F., 2011. "DCCA cross-correlation coefficient: Quantifying level of cross-correlation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 614-618.
    15. Zebende, G.F. & Filho, A. Machado, 2009. "Cross-correlation between time series of vehicles and passengers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4863-4866.
    16. da Silva Filho, A.M. & Zebende, G.F. & de Castro, A.P.N. & Guedes, E.F., 2021. "Statistical test for Multiple Detrended Cross-Correlation Coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    17. Ferreira, Paulo & Dionísio, Andreia & Correia, José, 2018. "Non-linear dependencies in African stock markets: Was subprime crisis an important factor?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 680-687.
    18. Carbone, A. & Castelli, G. & Stanley, H.E., 2004. "Time-dependent Hurst exponent in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 267-271.
    19. Oliveira Filho, F.M. & Leyva Cruz, J.A. & Zebende, G.F., 2019. "Analysis of the EEG bio-signals during the reading task by DFA method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 664-671.
    20. Ferreira, Paulo & Dionísio, Andreia & Guedes, Everaldo Freitas & Zebende, Gilney Figueira, 2018. "A sliding windows approach to analyse the evolution of bank shares in the European Union," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1355-1367.
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    2. Santos, E.C.O. & Guedes, E.F. & Zebende, G.F. & da Silva Filho, A.M., 2022. "Autocorrelation of wind speed: A sliding window approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. Ferreira, Paulo & Quintino, Derick & Wundervald, Bruna & Dionísio, Andreia & Aslam, Faheem & Cantarinha, Ana, 2021. "Is Brazilian music getting more predictable? A statistical physics approach for different music genres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).

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