Comparison and Modelling of Pension Systems

  • Christian Quast
  • Luboš Střelec
  • Rastislav Potocký
  • Jozef KiseǏák
  • Milan Stehlík
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 231)


The purpose of this work is a comparison of pension systems of the selected countries—the pension systems and reforms of Austria, the Czech Republic, Slovakia, Sweden, Poland, and Chile will be our subjects of interest. Firstly, we focus on a short historical overview of the development and classification of pension systems in general. Consequently, the main part of this chapter deals with different scenarios, which should show whether the systems would be stable in the future. For these purposes, we developed utility in Mathematica. We tested normality of salary samples from Slovakia by robust tests for normality and computed pensions in several scenarios.


Pension systems and reforms Modelling of pension systems Lorenz curves Gini coefficients Robust testing for normality Interest rates 



Luboš Střelec was supported by the grant No. GA16-07089S of the Czech Science Foundation. Milan Stehlík acknowledges Fondecyt Proyecto Regular N 1151441 and the LIT-2016-1-SEE-023 project modec. Rastislav Potocký was supported by Vega grant 2/0047/15.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Christian Quast
    • 1
  • Luboš Střelec
    • 2
  • Rastislav Potocký
    • 3
  • Jozef KiseǏák
    • 4
  • Milan Stehlík
    • 5
  1. 1.Department of Applied StatisticsJohannes Kepler UniversityLinzAustria
  2. 2.Department of Statistics and Operation AnalysisMendel University in BrnoBrnoCzech Republic
  3. 3.Department of Applied Mathematics and StatisticsComenius University in BratislavaBratislavaSlovak Republic
  4. 4.Faculty of ScienceInstitute of Mathematics, P.J. Šafárik University in KošiceKosiceSlovakia
  5. 5.Linz Institute of Technology and Department of Applied StatisticsJohannes Kepler UniversityLinzAustria

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