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

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).

[1]  P. Embrechts,et al.  Quantitative Risk Management: Concepts, Techniques, and Tools , 2005 .

[2]  J. Pesquet,et al.  Wavelet thresholding for some classes of non–Gaussian noise , 2002 .

[3]  Kulwinder Singh Parmar,et al.  Wavelet and statistical analysis of river water quality parameters , 2013, Appl. Math. Comput..

[4]  Kulwinder Singh Parmar,et al.  Time series model prediction and trend variability of aerosol optical depth over coal mines in India , 2015, Environmental Science and Pollution Research.

[5]  Kirti Soni,et al.  Prediction of River Water Quality Parameters Using Soft Computing Techniques , 2021 .

[6]  Kulwinder Singh Parmar,et al.  Statistical variability comparison in MODIS and AERONET derived aerosol optical depth over Indo-Gangetic Plains using time series modeling. , 2016, The Science of the total environment.

[7]  Jeffrey E. Jarrett,et al.  Improving forecasting for telemarketing centers by ARIMA modeling with intervention , 1998 .

[8]  A. Antoniadis,et al.  Wavelets and Statistics , 1995 .

[9]  Kulwinder Singh Parmar,et al.  Modeling of air pollution in residential and industrial sites by integrating statistical and Daubechies wavelet (level 5) analysis , 2017, Modeling Earth Systems and Environment.

[10]  Sarbjit Singh,et al.  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 , 2020, Chaos, Solitons & Fractals.

[11]  Milan Stehlík,et al.  Predicting hourly ozone concentrations using wavelets and ARIMA models , 2019, Neural Computing and Applications.

[12]  Ahmet Murat Ozbayoglu,et al.  Financial Time Series Forecasting with Deep Learning : A Systematic Literature Review: 2005-2019 , 2019, Appl. Soft Comput..

[13]  Taiyong Li,et al.  A CEEMDAN and XGBOOST-Based Approach to Forecast Crude Oil Prices , 2019, Complex..

[14]  Yu Peng,et al.  A novel hybridization of echo state networks and multiplicative seasonal ARIMA model for mobile communication traffic series forecasting , 2012, Neural Computing and Applications.

[15]  A. Walden,et al.  Wavelet Methods for Time Series Analysis , 2000 .

[16]  Yongqiang Cheng,et al.  Patient-Specific Coronary Artery 3D Printing Based on Intravascular Optical Coherence Tomography and Coronary Angiography , 2019, Complex..

[17]  Emily K. Lada,et al.  A wavelet-based spectral procedure for steady-state simulation analysis , 2006, Eur. J. Oper. Res..

[18]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[19]  James B. Ramsey,et al.  Wavelets in Economics and Finance: Past and Future , 2002 .

[20]  Enrico Capobianco,et al.  WAVELET TRANSFORMS FOR THE STATISTICAL ANALYSIS OF RETURNS GENERATING STOCHASTIC PROCESSES , 2001 .

[21]  Chris Chatfield,et al.  The Analysis of Time Series: An Introduction , 1981 .

[22]  Richard A. Davis,et al.  Time Series: Theory and Methods , 2013 .

[23]  Kulwinder Singh Parmar,et al.  Statistical analysis of aerosols over the Gangetic–Himalayan region using ARIMA model based on long-term MODIS observations , 2014 .

[24]  Minvydas Ragulskis,et al.  Short-term time series algebraic forecasting with mixed smoothing , 2016, Neurocomputing.

[25]  Igor Djurovic,et al.  Noise analysis and random processes in the (t, f ) domain , 2016 .

[26]  Víctor M. Guerrero ARIMA forecasts with restrictions derived from a structural change , 1991 .

[27]  Ilona Weinreich,et al.  Wavelet-based prediction of oil prices , 2005 .

[28]  Iliycho Petkov Iliev,et al.  Regression trees modeling of time series for air pollution analysis and forecasting , 2019, Neural Computing and Applications.

[29]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[30]  Kulwinder Singh Parmar,et al.  Water quality management using statistical analysis and time-series prediction model , 2014, Applied Water Science.

[31]  Celso Augusto Guimarães Santos,et al.  Rainfall data analyzing using moving average (MA) model and wavelet multi-resolution intelligent model for noise evaluation to improve the forecasting accuracy , 2014, Neural Computing and Applications.

[32]  Foued Saâdaoui,et al.  A wavelet-based multiscale vector-ANN model to predict comovement of econophysical systems , 2014, Expert Syst. Appl..

[33]  K. Parmar,et al.  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 , 2020, Chaos, Solitons & Fractals.

[34]  R. Davidson,et al.  Walvelet Analysis of Commodity Price Behavior , 1998 .

[35]  Hui Li,et al.  Multivariate Financial Time-Series Prediction With Certified Robustness , 2020, IEEE Access.

[36]  Francis X. Diebold,et al.  Elements of Forecasting , 1997 .

[37]  A.J. Conejo,et al.  Day-ahead electricity price forecasting using the wavelet transform and ARIMA models , 2005, IEEE Transactions on Power Systems.

[38]  B. Silverman,et al.  Wavelet thresholding via a Bayesian approach , 1998 .

[39]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[40]  C. Torrence,et al.  A Practical Guide to Wavelet Analysis. , 1998 .

[41]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[42]  Richard A. Davis,et al.  Introduction to time series and forecasting , 1998 .

[43]  Zhe George Zhang,et al.  Forecasting stock indices with back propagation neural network , 2011, Expert Syst. Appl..

[44]  Kulwinder Singh Parmar,et al.  Neuro-fuzzy-wavelet hybrid approach to estimate the future trends of river water quality , 2019, Neural Computing and Applications.

[45]  Helmut Lütkepohl,et al.  The role of the log transformation in forecasting economic variables , 2009, SSRN Electronic Journal.

[46]  Kulwinder Singh Parmar,et al.  Statistical, time series, and fractal analysis of full stretch of river Yamuna (India) for water quality management , 2014, Environmental Science and Pollution Research.