The Use of Trend Lines Channels and Remaining Useful Life Prediction

  • Luciano Barbanti
  • Berenice Camargo Damasceno
  • Aparecido Carlos Gonçalves
  • Hadamez Kuzminskas


One of the most important aspects in a working machine is the remaining useful life (RUL) of its components. Prognostics in this case depends on establishing the cause-effect entries in the process as well as how it behaves from the series of measures done under experimental conditions. This work introduces two techniques in analyzing series data coming originally from the financial market frame. One of them is the Bollinger Bands theory and another is the Markowitz theory on composite series. Both have a wide spectrum of applications in the cause-effect series prediction.


Bollinger bands Trend lines Forecasting H. Markowitz theory Saturated data sequence 


  1. 1.
    S. Sankararaman, Significance, interpretation and quantification of uncertainty in prognostics and remaining useful life prediction. Mech. Syst. Signal Process. 52–53, 228–247 (2015)CrossRefGoogle Scholar
  2. 2.
    J. Bollinger, Bollinger on Bollinger Bands (Mc-Graw Hill, 2001)Google Scholar
  3. 3.
    W. Liua, X. Huanga, W. Zhenga, Black–Scholes’ model and Bollinger bands. Physica A 371(2), 565–571 (2006)MathSciNetCrossRefGoogle Scholar
  4. 4.
    H.Y.T. Ngan, G.K.H. Pang, Novel method for patterned fabric inspection using Bollinger bands. Opt. Eng. 45(8), 45–56 (2006)Google Scholar
  5. 5.
    S-C.T. Chou, H.-J. Hsu, C-C. Yang, F. Lai, A stock selection DSS combining AI and technical analysis. Ann. Oper. Res. 75(0), 335–353 (1997)Google Scholar
  6. 6.
    H. Markowitz, Portfolio selection. J. Finance 7(1), 77–91 (1952)Google Scholar
  7. 7.
    E.J. Elton, J. Gruber, Theory and Investment Analysis (Wiley, 2005)Google Scholar
  8. 8.
    B.C. Damasceno, L. Barbanti, Composing a portfolio in stock markets by using a series saturation method. Anais do CNMAC 2, 277–283 (2009)Google Scholar
  9. 9.
    C. Rowland, J.M. Lawson, The Permanent Portfolio: Harry Browne’s Long-Term Investment Strategy (Wiley, 2012)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Luciano Barbanti
    • 1
  • Berenice Camargo Damasceno
    • 1
  • Aparecido Carlos Gonçalves
    • 2
  • Hadamez Kuzminskas
    • 3
  1. 1.Department of MathematicsSão Paulo State University (UNESP)Ilha SolteiraBrazil
  2. 2.Department of Mechanical EngineeringSão Paulo State University (UNESP)Ilha SolteiraBrazil
  3. 3.Department of Electrical EngineeringSão Paulo State University (UNESP)Ilha SolteiraBrazil

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