Pairs trading with fractional Ornstein–Uhlenbeck spread model

References

• Avellaneda, M., and J. H. Lee. 2010. “Statistical Arbitrage in the US Equities Market.” Quantitative Finance 10 (7): 761–782. doi:10.1080/14697680903124632.
   Web of Science ®Google Scholar
• Barabsi, A. L., and T. Vicsek. 1991. “Multifractality of Self-Affine Fractals.” Physical Review A 44 (4): 2730. doi:10.1103/PhysRevA.44.2730.
   PubMedGoogle Scholar
• Bertin, K., S. Torres, and C. A. Tudor. 2011. “Maximum-Likelihood Estimators and Random Walks in Long Memory Models.” Statistics 45 (4): 361–374. doi:10.1080/02331881003768750.
   Web of Science ®Google Scholar
• Biagini, F., Y. Hu, B. Øksendal, and T. Zhang. 2008. Stochastic Calculus for Fractional Brownian Motion and Applications. New York: Springer.
   Google Scholar
• Bollinger, J. 1992. “Using Bollinger Bands.” Technical Analysis of Stocks & Commodities 10: 47–51.
   Google Scholar
• Bollinger, J. 2001. Bollinger on Bollinger Bands. New York: McGraw-Hill.
   Google Scholar
• Bowen, D., M. C. Hutchinson, and N. O’-Sullivan. 2010. “High-Frequency Equity Pairs Trading: Transaction Costs, Speed of Execution, and Patterns in Returns.” The Journal of Trading 5 (3): 31–38. doi:10.3905/jot.2010.5.3.031.
   Google Scholar
• Brouste, A., and S. M. Iacus. 2013. “Parameter Estimation for the Discretely Observed Fractional Ornstein–uhlenbeck Process and the Yuima R Package.” Computational Statistics 28 (4): 1529–1547. doi:10.1007/s00180-012-0365-6.
   Web of Science ®Google Scholar
• Coeurjolly, J. F. 2001. “Estimating the Parameters of a Fractional Brownian Motion by Discrete Variations of Its Sample Paths.” Statistical Inference for Stochastic Processes 4 (2): 199–227. doi:10.1023/A:1017507306245.
   Google Scholar
• Cont, R. 2001. “Empirical Properties of Asset Returns: Stylized Facts and Statistical Issues.” Quantitative Finance 1 (2): 223–236. doi:10.1080/713665670.
   Web of Science ®Google Scholar
• Corazza, M., A. G. Malliaris, and C. Nardelli. 1997. “Searching for Fractal Structure in Agricultural Futures Markets.” Journal of Futures Markets 17 (4): 433–473. doi:10.1002/(SICI)1096-9934(199706)17:4<433:AID-FUT4>3.0.CO;2-I.
   Web of Science ®Google Scholar
• Do, B., and R. Faff. 2012. “Are Pairs Trading Profits Robust to Trading Costs?” Journal of Financial Research 35 (2): 261–287. doi:10.1111/j.1475-6803.2012.01317.x.
   Google Scholar
• Ehlers, J. 2005. “Frama–fractal Adaptive Moving Average.” Technical Analysis of Stocks & Commodities 10: 10–15.
   Google Scholar
• Elliott, R. J., J. Van Der Hoek, and W. P. Malcolm. 2005. “Pairs Trading.” Quantitative Finance 5 (3): 271–276. doi:10.1080/14697680500149370.
   Web of Science ®Google Scholar
• Endres, S., and J. Stübinger. 2019. “A Flexible Regime Switching Model with Pairs Trading Application to the S&P 500 High-Frequency Stock Returns.” Quantitative Finance 19 (10): 1727–1740. doi:10.1080/14697688.2019.1585562.
   Web of Science ®Google Scholar
• Endres, S., and J. Stuebinger. 2019. “Optimal Trading Strategies for Lévy-Driven Ornstein–uhlenbeck Processes.” Applied Economics 51 (29): 3153–3169. doi:10.1080/00036846.2019.1566688.
   Web of Science ®Google Scholar
• Gatev, E., W. N. Goetzmann, and K. G. Rouwenhorst. 2006. “Pairs Trading: Performance of a Relative-Value Arbitrage Rule.” The Review of Financial Studies 19 (3): 797–827. doi:10.1093/rfs/hhj020.
   Web of Science ®Google Scholar
• Kubilius, K., Y. Mishura, K. Ralchenko, and O. Seleznjev. 2015. “Consistency of the Drift Parameter Estimator for the Discretized Fractional Ornstein–uhlenbeck Process with Hurst Index H (0, 1/2).” Electronic Journal of Statistics 9 (2): 1799–1825. doi:10.1214/15-EJS1062.
   Google Scholar
• Liu, B., L. B. Chang, and H. Geman. 2017. “Intraday Pairs Trading Strategies on High Frequency Data: The Case of Oil Companies.” Quantitative Finance 17 (1): 87–100. doi:10.1080/14697688.2016.1184304.
   Web of Science ®Google Scholar
• Liu, Q., Y. Xiang, and Y. Zhao. 2019. “An Outperforming Investment Strategy Under Fractional Brownian Motion.” The North American Journal of Economics and Finance 47: 505–515. doi:10.1016/j.najef.2018.06.009.
   Google Scholar
• Lo, A. W., and A. C. MacKinlay. 1989. “The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation.” Journal of Econometrics 40 (2): 203–238. doi:10.1016/0304-4076(89)90083-3.
   Web of Science ®Google Scholar
• Lo, A. 1991. “Long-Term Memory in Stock Market Prices.” Econometrica 59 (5): 1279–1313. doi:10.2307/2938368.
   Web of Science ®Google Scholar
• Mandelbrot, B. B., and J. V. Ness. 1968. “Fractional Brownian Motion, Fractional Noises and Applications.” SIAM Review 10 (4): 422–436. doi:10.1137/1010093.
   Web of Science ®Google Scholar
• Matteo, T. D., T. Aste, and M. M. Dacorogna. 2005. “Long-Term Memories of Developed and Emerging Markets: Using the Scaling Analysis to Characterize Their Stage of Development.” Journal of Banking & Finance 29 (4): 0–851. doi:10.1016/j.jbankfin.2004.08.004.
   Google Scholar
• Miao, G. J. 2014. “High Frequency and Dynamic Pairs Trading Based on Statistical Arbitrage Using a Two-Stage Correlation and Cointegration Approach.” International Journal of Economics and Finance 6 (3): 96–110. doi:10.5539/ijef.v6n3p96.
   Google Scholar
• Peters, E. E. 1994. Fractal Market Analysis. New York: Wiley.
   Google Scholar
• Ramos-Requena, J. P., J. E. Trinidad-Segovia, and M. A. Sánchez-Granero. 2017. “Introducing Hurst Exponent in Pair Trading.” Physica A: Statistical Mechanics and Its Applications 488: 39–45. doi:10.1016/j.physa.2017.06.032.
   Web of Science ®Google Scholar
• Ramos-Requena, J. P., J. E. Trinidad-Segovia, and M. Á. Sánchez-Granero. 2020. “Some Notes on the Formation of a Pair in Pairs Trading.” Mathematics 8 (3): 348. doi:10.3390/math8030348.
   Google Scholar
• Sottinen, T. 2001. “Fractional Brownian Motion, Random Walks and Binary Market Models.” Finance and Stochastics 5 (3): 343–355. doi:10.1007/PL00013536.
   Google Scholar
• Stübinger, J., and S. Endres. 2018. “Pairs Trading with a Mean-Reverting Jump–diffusion Model on High-Frequency Data.” Quantitative Finance 18 (10): 1735–1751. doi:10.1080/14697688.2017.1417624.
   Web of Science ®Google Scholar
• Zeng, Z., and C. G. Lee. 2014. “Pairs Trading: Optimal Thresholds and Profitability.” Quantitative Finance 14 (11): 1881–1893. doi:10.1080/14697688.2014.917806.
   Web of Science ®Google Scholar