A suggested weighted running means for smoothing techniques with application

Document Type : Research Paper


Department of Mathematics, College of Education for pure Sciences, Tikrit University, Tikrit, Iraq


The variety of weighted Average techniques that fall within the structure of exploratory data analysis (EDA) has driven a diversity of competitive results of data analysis. In spite of this variation, the outcomes obtained from the Hanning procedure have some similarities, which makes judging and analysis of data are difficult somehow. Many searches were attitude to get the best performance of technique to give a kind of satisfaction for the researchers who work on the area of EDA. The proposed method is based on calculating the weighted average by applying geometric and harmonic mean to be compared with the existing technique that uses the arithmetic mean. The application of the proposal techniques is done on daily financial data in Malaysia that issues Sukuk of funds in Islamic banking and financial business. The results of applying the proposed techniques on real data sets showed a competitive performance for these standards in the field of comparison of techniques undergoing the smoothing procedures.


[1] N.N.K. Azmi, M.B. Adam, M. Shitan and N.M. Ali, Modification of smoothing in 4253H [T], AIP Conf. Proc.
AIP Publishing LLC., 1842(1) 2017.
[2] T. Bernholt, R. Fried, U. Gather and I. Wegener, Modified repeated median filters, Stat. Comput. 16(2) (2006)
[3] D. Chakrabarty, Four formulations of average derived from Pythagorean means, Int. J. Math. Trends Technol.
2021 (2021) 97–118.
[4] Q.N. Husain, M.B. Adam, M. Shitan and A. Fitrianto, Exploratory extreme data analysis for farmer mac data,
Malay. J. Math. Sci. 11 (2017) 1–16.
[5] W.F. Ferger, The nature and use of the harmonic mean, J. Amer. Stat. Assoc. 26(173) (1931) 36–40.
[6] R. Fried, J. Einbeck and U. Gather, Weighted repeated median smoothing and filtering, J. Amer. Stat. Assoc.
102(480) (2007) 1300–1308.
[7] K.J. Klassen, Simultaneous Management of Demand and Supply in Services, University of Calgary, 1997.
[8] T.C. Mills and T.C. Mills,Time Series Techniques for Economists, Cambridge University Press, 1990.
[9] K. Roenfeldt, Better Than Average: Calculating Geometric Means Using SAS, Henry. M. Foundation for the
Advancement of Military Medicine, 2018.
[10] M. Shitan and T. Vazifedan, Exploratory Data Analysis for Almost Anyone, UPM Press, 2011.
[11] H. Tsaknakis and P. Papantoni-Kazakos, Outlier resistant filtering and smoothing, In. Comput. 79(2) (1988)
[12] P. F. Velleman and D. C. Hoaglin, Applications, Basics, and Computing of Exploratory Data Analysis, Duxbury
Press, 1981.
[13] L. Zeng, The optimal degree of smoothing in equipercentile equating with postsmoothing, Appl. Psychol. Measur.
19(2) (1995) 177–190.
Volume 13, Issue 1
March 2022
Pages 2775-2781
  • Receive Date: 16 September 2021
  • Revise Date: 29 October 2021
  • Accept Date: 17 December 2021