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Research Article

Sequential Hypothesis Testing in Machine Learning, and Crude Oil Price Jump Size Detection

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Pages 374-395 | Received 17 Apr 2020, Accepted 02 Dec 2020, Published online: 11 Jan 2021

References

  • Barles, G., E. Chasseigne, and C. Imbert. 2008. “On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations.” Indiana University Mathematics Journal 57 (1): 213–246. doi:10.1512/iumj.2008.57.3315.
  • Barndorff-Nielsen, O. E. 2001. “Superposition of Ornstein-Uhlenbeck Type Processes.” Theory of Probability & Its Applications 45 (2): 175–194. doi:10.1137/S0040585X97978166.
  • Barndorff-Nielsen, O. E., and N. Shephard. 2001b. “Modelling by Lévy Processes for Financial Econometrics.” In Lévy Processes: Theory and Applications, edited by O. E. Barndorff-Nielsen, T. Mikosch, and S. Resnick, 283–318, Birkhäuser. New york: Springer.
  • Barndorff-Nielsen, O. E., J. L. Jensen, and M. Sørensen. 1998. “Some Stationary Processes in Discrete and Continuous Time.” Advances in Applied Probability 30: 989–1007.
  • Barndorff-Nielsen, O. E., and N. Shephard. 2001a. “Non-Gaussian Ornstein-Uhlenbeck-based Models and Some of Their Uses in Financial Economics.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 63: 167–241. doi:10.1111/1467-9868.00282.
  • Baum, C., and V. Veeravalli. 1994. “A Sequential Procedure for Multihypothesis Testing.” IEEE Transactions on Information Theory 40 (6): 1994–1997. doi:10.1109/18.340472.
  • Brodsky, B., and B. Darkhovsky. 2008. “Minimax Methods for Multihypothesis Sequential Testing and Change-point Detection Problems.” Sequential Analysis 27 (2): 141–173. doi:10.1080/07474940801989111.
  • Carlisle, M., and O. Hadjiliadis. 2013. “Sequential Decision Making in Two-Dimensional Hypothesis Testing.” 52nd IEEE Conference on Decision and Control. https://ieeexplore.ieee.org/document/6760919
  • Cont, R., and P. Tankov. 2003. Financial Modelling with Jump Processes. Chapman and Hall/CRC Financial Mathematics Series. Boca Raton, FL: CRC Press.
  • Dayanik, S., V. Poor, and S. Sezer. 2008. “Sequential Multi-hypothetis Testing for Compound Poisson Processes.” Stochastics 80 (1): 19–50. doi:10.1080/17442500701594490.
  • Golubev, G. K., and R. Z. Khas’minski. 1983. “Sequential Testing for Several Signals in Gaussian White Noise.” Theory of Probability and Its Applications 28 (3): 573–584. doi:10.1137/1128052.
  • Habtemicael, S., and I. SenGupta. 2016. “Pricing Variance and Volatility Swaps for Barndorff-Nielsen and Shephard Process Driven Financial Markets.” International Journal of Financial Engineering 3 (4): 1650027. doi:10.1142/S2424786316500274.
  • Habtemicael, S., M. Ghebremichael, and I. SenGupta. 2019. “Volatility and Variance Swap Using Superposition of the Barndorff-Nielsen and Shephard Type Lévy Processes.” Sankhya B 81 (1): 75–92. doi:10.1007/s13571-017-0145-y.
  • Issaka, A., and I. SenGupta. 2017. “Analysis of Variance Based Instruments for Ornstein–Uhlenbeck Type Models: Swap and Price Index.” Annals of Finance 13 (4): 401–434. doi:10.1007/s10436-017-0302-3.
  • Lowther, G. 2010. “Lévy Processes.” Stochastic Calculus Notes. https://almostsure.wordpress.com/2010/11/23/levy-processes/
  • Miljkovic, T., and I. SenGupta. 2018. “A New Analysis of VIX Using Mixture of Regressions: Examination and Short-term Forecasting for the S&P 500 Market.” High Frequency 1 (1): 53–65. doi:10.1002/hf2.10009.
  • Nicolato, E., and E. Venardos. 2003. “Option Pricing in Stochastic Volatility Models of the Ornstein-Uhlenbeck Type.” Mathematical Finance 13 (4): 445–466. doi:10.1111/1467-9965.t01-1-00175.
  • Refinitiv. 2018. https://www.refinitiv.com/en/resources/special-report/refinitiv-2019-artificial-intelligence-machine-learning-global-study
  • Roberts, M., and I. SenGupta. 2020. “Infinitesimal Generators for Two-dimensional Lévy Process-driven Hypothesis Testing.” Annals of Finance 16 (1): 121–139. doi:10.1007/s10436-019-00355-y.
  • SenGupta, I. 2016. “Generalized BN-S Stochastic Volatility Model for Option Pricing.” International Journal of Theoretical and Applied Finance 19 (2): 1650014. doi:10.1142/S021902491650014X.
  • SenGupta, I., W. Nganje, and E. Hanson. 2020. “Refinements of Barndorff-Nielsen and Shephard Model: An Analysis of Crude Oil Price with Machine Learning.” Annals of Data Science. Accepted March, 2020. doi:10.1007/s40745-020-00256-2.
  • SenGupta, I., W. Wilson, and W. Nganje. 2019. “Barndorff-Nielsen and Shephard Model: Oil Hedging with Variance Swap and Option.” Mathematics and Financial Economics 13 (2): 209–226. doi:10.1007/s11579-018-0225-4.
  • U.S. Energy Information Administration. 2020. “Crude Oil Prices: West Texas Intermediate (WTI) - Cushing, Oklahoma [DCOILWTICO].” FRED, Federal Reserve Bank of St. Louis. September 23. https://fred.stlouisfed.org/series/DCOILWTICO
  • Wald, A. 1947. Sequential Analysis. New York: Wiley.
  • Wilson, W., W. Nganje, S. Gebresilasie, and I. SenGupta. 2019. “Barndorff-Nielsen and Shephard Model for Hedging Energy with Quantity Risk.” High Frequency 2 (3–4): 202–214. doi:10.1002/hf2.10049.

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