Societal Offenders In Prison: Global In-Country Analysis By Fractals

Authors

  • Mark S. Borres University of San Jose-Recoletos
  • Queen Heneylour S. Relatorres University of the Visayas
  • Efren O. Barabat University of San Jose-Recoletos

DOI:

https://doi.org/10.32871/rmrj1402.01.10

Keywords:

fractogram, fractal correlation, human development index, incarcerated offenders

Abstract

This study examines the relationship between a country’s human development index (HDI) and the number of societal offenders in jail (Off Index) for the country. Traditional analysis of this nature strongly veers towards linear (regression) analysis which may be inappropriate for the present case because of the high variabilities viz. fractality, of the data for the number of offenders in jails. The fractal correlation coefficient (fractogram) and the correlation of the fractal dimensions in tandem give a clearer picture of the degree of relationship induced by one highly variant variable on another variable than using the ordinary correlation coefficient. This is illustrated in the case of the relationship between the Human Development Index and the number of incarcerated offenders in the various countries of the world.

Author Biographies

Mark S. Borres, University of San Jose-Recoletos

graduated Bachelor of Science in Mathematics–major in Pure Mathematics at the University of the Philippines, Cebu College. Since 2009, he worked for the University of San Jose- Recoletos as a faculty member of the College of Arts and Sciences and handled Mathematics subjects such as College Algebra, Advanced Algebra, Abstract Algebra, Analytical Geometry, Euclidean geometry, Trigonometry, Business Mathematics, Linear Programming, Mathematics of Investment, Discrete Structure, and Statistics across colleges.

Efren O. Barabat, University of San Jose-Recoletos

is an Electronics Engineer, graduated from the University of San Jose-Recoletos in 2010, Cum Laude honors. He ranked as top 9 examinee in the April 2011 ECE Licensure Examination. He worked as Field Engineer in SMART Communications, Inc. from 2011 to 2012. Currently, a full-time faculty member of the Electronics Engineering Department of USJ-R College of Engineering, handling Mathematics and Major Subjects of ECE.

References

Padua, R. N. & Borres M. S.(2013) “ From Fractal Geometry to Fractal Statistics” (Recoleto Multidisciplinary Journal of Research, Vol. 1, No. 1, Research Journal of the University of San Jose-Recoletos, CHED-JAS
Category B)

Padua, R. N. , Palompon, D. & Ontoy D. S. (2012) “ Data Roughness and Fractal Statistics” (CNU Journal of Higher Education, Vol. 6, No. 1, CHED- JAS Category A, pp 87-101)

(The Eighth United Nations Survey on Crime Trends and the Operations of Criminal Justice Systems (2002) (United Nations Office on Drugs and Crime, Centre for International Crime Prevention)).

2013 Human Development Report: The Rise of the South:
Human Progress in a Diverse World.

http://www.nationmaster.com/graph/cri_pri-crimeprisoners

www.epw.in/.../human-development-indextrends-1980-2012

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Published

2014-06-30

How to Cite

Borres, M. S., Relatorres, Q. H. S., & Barabat, E. O. (2014). Societal Offenders In Prison: Global In-Country Analysis By Fractals. Recoletos Multidisciplinary Research Journal, 2(1). https://doi.org/10.32871/rmrj1402.01.10

Issue

Vol. 2 No. 1 (2014)

Section

Articles

License

Copyright of the Journal belongs to the University of San Jose-Recoletos

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