Skip to main content
Log in

Soft computing model coupled with statistical models to estimate future of stock market

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

Almost every organization around the globe is working with uncertainty due to inevitable changes and growth in every sphere of life. These changes affect directly or indirectly the stock market prices which makes forecasting a challenging task. So, the need for reliable, cost-effective, and accurate forecasting models significantly arises to reduce risk and uncertainty in stock market investment. Different time series models have been proposed by data scientists and researchers for accurate prediction of the future with the least errors. Econometric autoregressive time series models such as autoregressive moving average (ARMA) and autoregressive integrated moving average (ARIMA) models have established forecasting models capable of generating accurate forecasts. Wavelet methods, being capable of handling nonlinear data, combined with autoregressive models generate more accurate forecasts. In this present study, soft computing models of discreet wavelet transformation and wavelet denoising combined with autoregressive models are developed to forecast the weekly and daily closing prices of the BSE100 S&P Sensex index. Statistical error analysis of the forecasting outcomes of coupled models has been made to evaluate the performance of the prediction of these models. The prediction results reveal that soft computing methods coupled with autoregressive models (wavelet-ARIMA and wavelet denoise-ARIMA) generate considerably accurate forecasts as compared to baseline models (simple regression, ARMA and ARIMA models) and coupled models (wavelet-ARMA and wavelet denoise-ARMA models).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Abramovich F, Sapatinas T, Silverman BW (1998) Wavelet thresholding via a Bayesian approach. J R Stat Soc Ser B 60:725–749

    Article  MathSciNet  MATH  Google Scholar 

  2. Akrami SA, El-Shafie A, Naseri M, Santos CAG (2014) Rainfall data analyzing using moving average (MA) model and wavelet multi-resolution intelligent model for noise evaluation to improve the forecasting accuracy. Neural Comput Appl 25:1853–1861

    Article  Google Scholar 

  3. Antoniadis A, Oppenheim G (1995) Wavelets and statistics, vol 103. Lecture notes in statistics. Springer, Berlin

    MATH  Google Scholar 

  4. Antoniadis A, Leporini D, Pesquet JC (2002) Wavelet thresholding for some classes of non-Gaussian noise. Stat Neerl 56:434–453

    Article  MathSciNet  MATH  Google Scholar 

  5. Bianchi L, Jarrett J, Hanumara RC (1998) Improving forecasting for centers by ARIMA modeling with intervention. Int J Forecast 14(4):497–504

    Article  Google Scholar 

  6. Boashash B (ed) (2016) Time-frequency signal analysis and processing, 2nd edn. Academic Press, pp 521-573. https://doi.org/10.1016/B978-0-12-398499-9.00009-1

  7. Brockwell PJ, Davis RA (1991) Time series: theory and methods. Springer, Berlin

    Book  MATH  Google Scholar 

  8. Brockwell PJ, Davis RA (2002) Introduction to time series and forecasting. Springer, Berlin

    Book  MATH  Google Scholar 

  9. Capobianco E (2001) Wavelet transforms for the statistical analysis of returns generating stochastic processes. Int J Theor Appl Finance 4:511–534

    Article  MathSciNet  MATH  Google Scholar 

  10. Chatfield C (1996) The analysis of time series: an introduction, 5th edn. Chapman and Hall, CRC, London

    MATH  Google Scholar 

  11. Conejo A, Plazas AM, Espinola R, Molina A (2005) Day-ahead electricity price forecasting using the wavelet transforms and ARIMA models. IEEE Trans Power Syst 20(2):1035–1042

    Article  Google Scholar 

  12. Davidson R, Labys WC, Lesourd JB (1998) Wavelet analysis of commodity price behaviour. Comput Econ 11(1–2):103–128

    MATH  Google Scholar 

  13. Daubechies I (1992) Ten lectures on wavelets. SIAM, Philadelphia

    Book  MATH  Google Scholar 

  14. Diebold FV (1998) Elements of forecasting. South-Western College, Cincinnati

    Google Scholar 

  15. Donoho DL, Johnstone IM (1994) Ideal spatial adaptation by wavelet shrinkage. Biometrika 81:425–455

    Article  MathSciNet  MATH  Google Scholar 

  16. Gocheva-Ilieva SG, Voynikova DS, Stoimenova MP, Ivanov AV, Iliev IP (2019) Regression trees modeling of time series for air pollution analysis and forecasting. Neural Comput Appl 31:9023–9039

    Article  Google Scholar 

  17. Guerrero VM (1991) ARIMA forecasts with restrictions derived from a structural change. Int J Forecast 7(3):339–347

    Article  Google Scholar 

  18. Lada EK, Wilson JR (2006) A wavelet-based spectral procedure for steady-state simulation analysis. Eur J Oper Res 174(3):1769–1801

    Article  MATH  Google Scholar 

  19. Li H, Cui Y, Wang S, Liu J, Qin J, Yang Y (2020) Multivariate financial time-series prediction with certified robustness. IEEE Access 8:109133–109143

    Article  Google Scholar 

  20. Lutkepohl H, Xu F (2010) The role of the log transformation in forecasting economic variables. Springer, Berlin

    Google Scholar 

  21. Mallat S (1989) A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell 11(7):674–693

    Article  MATH  Google Scholar 

  22. McNeil AJ, Frey R, Embrechts P (2005) Quantitative risk management: concepts, techniques, and tools. Princeton University Press, Princeton

    MATH  Google Scholar 

  23. Meyer Y, Coifman R (1997) Wavelets. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  24. Palivonaite R, Lukoseviciute K, Ragulskis M (2016) Short-term time series algebraic forecasting with mixed smoothing. Neurocomputing 171:854–865

    Article  Google Scholar 

  25. Parmar KS, Bhardwaj R (2014) Water quality management using statistical and time series prediction model. Appl Water Sci 4(4):425–434

    Article  Google Scholar 

  26. Parmar KS, Bhardwaj R (2013) Wavelet and statistical analysis of river water quality parameters. Appl Math Comput 219(20):10172–10182

    MathSciNet  MATH  Google Scholar 

  27. Parmar KS, Bhardwaj R (2015) Statistical, time series and fractal analysis of full stretch of river Yamuna (India) for water quality management. Environ Sci Pollut Res 22(1):397–414

    Article  Google Scholar 

  28. Parmar KS, Makkhan SJS, Kaushal S (2019) Neuro-fuzzy-wavelet hybrid approach to estimate the future trends of river water quality. Neural Comput Appl 31:8463–8473

    Article  Google Scholar 

  29. Parmar KS, Soni K, Singh S (2020) Prediction of river water quality parameters using soft computing techniques. In: Intelligent data analytics for decision-support systems in hazard mitigation, pp 429–440. Springer, Singapore

  30. Peng Y, Lei M, Li J-B, Peng X-Y (2014) A novel hybridization of echo state networks and multiplicative seasonal ARIMA model for mobile communication traffic series forecasting. Neural Comput Appl 24:883–890

    Article  Google Scholar 

  31. Percival DB, Walden AT (2000) Wavelet methods for time series analysis. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  32. Ramsey JB (2002) Wavelets in economics and finance: past and future. Stud Nonlinear Dyn Econom 6(3):1–27

    MathSciNet  MATH  Google Scholar 

  33. Saadaoui F, Rabbouch H (2014) A wavelet-based multiscale vector-ANN model to predict co-movement of econophysical systems. Expert Syst Appl 41:6017–6028

    Article  Google Scholar 

  34. Salazar L, Nicolis O, Ruggeri F, Kisel’ák J, Stehlík M (2019) Predicting hourly ozone concentrations using wavelets and ARIMA models. Neural Comput Appl 31:4331–4340

    Article  Google Scholar 

  35. Sezer OB, Gudelek MU, Ozbayoglu AM (2020) Financial time series forecasting with deep learning: a systematic literature review: 2005–2019. Appl Soft Comput 90:106181

    Article  Google Scholar 

  36. Singh S, Parmar KS, Kumar J, Makkhan SJS (2020) Development of new hybrid model of discrete wavelet decomposition and autoregressive integrated moving average (ARIMA) models in application to one month forecast the casualties’ cases of COVID-19. Chaos, Solitons Fractals 135:109866

    Article  Google Scholar 

  37. Singh S, Parmar KS, Makkhan SJS, Kaur J, Peshoria S, Kumar J (2020) Study of ARIMA and least square support vector machine (LS-SVM) models for the prediction of SARS-CoV-2 confirmed cases in the most affected countries. Chaos, Solitons Fractals 139:110086

    Article  MathSciNet  Google Scholar 

  38. Soni K, Parmar KS, Kapoor S, Kumar N (2016) Statistical variability comparison in MODIS and AERONET derived aerosol optical depth over indo-gangetic plains using time series. Sci Total Environ 553:258–265

    Article  Google Scholar 

  39. Soni K, Parmar KS, Kapoor S (2015) Time series model prediction and trend variability of aerosol optical depth over coal mines in India. Environ Sci Pollut Res 22(5):3652–3671

    Article  Google Scholar 

  40. Soni K, Kapoor S, Parmar KS, Kaskaoutis Dimitris G (2014) Statistical analysis of aerosols over the Gangetic-Himalayan region using ARIMA model based on long- term MODIS observations. Atmos Res 149:174–192

    Article  Google Scholar 

  41. Soni K, Parmar KS, Agrawal S (2017) Modeling of air pollution in residential and industrial sites by integrating statistical and Daubechies wavelet (level 5) analysis. Model Earth Syst Environ 3:1187–1198

    Article  Google Scholar 

  42. Torrence C, Compo GP (1998) A practical guide to wavelet analysis. Bull Am Meteor Soc 79(1):61–78

    Article  Google Scholar 

  43. Wang J, Wang Ju, Zhang Z, Guo S (2011) Forecasting stock indices with back propagation neural network. Expert Syst Appl 38:14346–14355

    Article  Google Scholar 

  44. Yousefi S, Weinreich I, Reinarz D (2005) Wavelet-based prediction of oil prices. Chaos, Solitons Fractals 25(2):265–275

    Article  MATH  Google Scholar 

  45. Zhou Y, Li T, Shi J, Qian Z (2019) A CEEMDAN and XGBOOST-based approach to forecast crude oil prices. Complexity 2019:1–15. https://doi.org/10.1155/2019/4392785

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kulwinder Singh Parmar.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, S., Parmar, K.S. & Kumar, J. Soft computing model coupled with statistical models to estimate future of stock market. Neural Comput & Applic 33, 7629–7647 (2021). https://doi.org/10.1007/s00521-020-05506-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-020-05506-1

Keywords

Navigation