Acta Univ. Agric. Silvic. Mendelianae Brun. 2011, 59(4), 371-378 | DOI: 10.11118/actaun201159040371

On robust analysis of paycheck: case study

Michal Uherek1, Milan Stehlík2, Luboš Střelec3
1 Zurich Insurance plc, o.z., Bratislava, Slovak Republic
2 Institut für angewandte Statistik, Johannes Kepler University in Linz, Freistädter Straße 315, Linz, A-4040, Austria
3 Ústav statistiky a operačního výzkumu, Mendelova univerzita v Brně, Zemědělská 1, 613 00, Brno, Česká republika

Many statistical tests are constructed to check the validity of normal distribution. Here we propose a case study on analysis of paycheck where we employ the RT class of tests for normality firstly introduced in Střelec, Stehlík (2008). In particular such a study can be of interest for pension funds theoreticians and practitioners, which study the transitions of pension systems from one social security state to the another one. Our study illustrates some possible distributional deviations of salary residuals on a real data.

Keywords: paycheck, case study, robust approach, normality testing, residuals
Grants and funding:

The research was supported in part by AKTION Austria - Czech Republic.

Received: February 28, 2011; Published: May 29, 2014  Show citation

ACS AIP APA ASA Harvard Chicago IEEE ISO690 MLA NLM Turabian Vancouver
Uherek, M., Stehlík, M., & Střelec, L. (2011). On robust analysis of paycheck: case study. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis59(4), 371-378. doi: 10.11118/actaun201159040371
Download citation

References

  1. BALAKRISHAN, N., 2007: Pernaments, order statistics, outliers, and robustness. Revista Matemática Complutense, 20(1). p. 7-107. ISSN 1139-1138. Go to original source...
  2. BRYS, G., HUBERT, M., STRUYF, A., 2008: Goodness-of-fit tests based on a robust measure of skewness. Computational Statistics, Springer, 23(3), p. 429-442. ISSN 0943-4062. DOI: 10.1007/s00180-007-0083-7 Go to original source...
  3. GEL, Y. R., GASTWIRTH, J. L., 2008: A robust modification of the Jarque-Bera test of normality. Economics Letters 99 (1), p. 30-32, ISSN 0165-1765. DOI: 10.1016/j.econlet.2007.05.022 Go to original source...
  4. KRUSE, A., PORTA, P. L. and SARACENO, P., 1997: Pension Systems and Reforms: A Note on Transition Problems, University of Milan Bicocca. No. 02 - February 1997, [cit. 2009-09-12]. Available from
  5. POTOCKÝ, R., VAN BAN, T., 1992: Confidence regions in nonlinear regression models. Appl.Math. 37, p. 29-39. ISSN 0862-7940. Go to original source...
  6. STEHLÍK, M., POTOCKÝ, R., WALDL, H., FABIÁN, Z., 2008: On the favorable estimation for fitting heavy tailed data, IFAS res. report Nr. 32, [cit. 2009-09-12]. Available from: http://www.ifas.jku.at/e2550/e2756/index_ger.html.
  7. STEHLÍK M., STŘELEC L., 2009: On normality assumptions for claims in insurance, Acta univ. agric. et silvic. Mendel. Brun., LVII, No. 3, p. 141-146, ISSN 1211-8516. DOI: 10.11118/actaun200957030141 Go to original source...
  8. STŘELEC, L., STEHLÍK, M., 2008: Some properties of robust test for normality and their applications, IFAS Research report.
  9. The pension system in the Slovak Republic, Note for the attention of the Ageing Working Group, February 2006, Institute of Financial Policy Ministry of Finance of the Slovak Republic.
  10. URZUA, C. M., 1996: On the correct use of omnibus tests for normality. Economics Letters, 53, p. 247-251. ISSN 0165-1765. DOI: 10.1016/S0165-1765(96)00923-8 Go to original source...

This is an open access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY NC ND 4.0), which permits non-comercial use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.