Sub-sequence incidence analysis within series of Bernoulli trials: application in characterisation of time series dynamics

References

• Billingsley, P. 1995. Probability and Measure. 3rd ed. New York: Wiley.
   Google Scholar
• Bradley, R. 2007. Introduction to Strong Mixing Conditions. Heber, UT: Kendrick Press.
   Google Scholar
• Callen, J., C. Cheung, C. Kwan, and R. Yip. 1993. “An Empirical Investigation of the Random Character of Annual Earnings.” Journal of Accounting, Auditing and Finance 8 (2): 151–162. doi: 10.1177/0148558X9300800204
   Google Scholar
• Edwards, R. D., J. Magee, and W. H. C. Bassetti. 2007. Technical Analysis of Stock Trends. 9th ed. Boca Raton, FL: CRC Press.
   Google Scholar
• Fama, E. F. 1970. “Efficient Capital Markets: A Review of Theory and Empirical Work.” The Journal of Finance 25 (2): 383–417. doi: 10.2307/2325486
   Web of Science ®Google Scholar
• Fama, E. F. 1991. “Efficient Capital Markets: II.” The Journal of Finance 46 (5): 1575–1617. doi: 10.1111/j.1540-6261.1991.tb04636.x
   Web of Science ®Google Scholar
• Feller, W. 1968. An Introduction to Probability Theory and Its Applications, Volume 1. 3rd ed. New York: John Wiley & Sons Inc.
   Google Scholar
• Ferguson, T. S. 1996. A Course in Large Sample Theory. Boca Raton, FL: CRC Press.
   Google Scholar
• Fu, J. C., and M. V. Koutras. 1994. “Distribution Theory of Runs: A Markov Chain Approach.” Journal of the American Statistical Association 89 (427): 1050–1058. doi: 10.1080/01621459.1994.10476841
   Web of Science ®Google Scholar
• Fu, J. C., and W. Y. Lou. 2003. Distribution Theory of Runs and Patterns and its Applications: A Finite Markov Chain Imbedding Approach. River Edge, NJ: World Scientific Publishing.
   Google Scholar
• Gray, J. R. 1967. Probability. London: Oliver and Boyd Limited.
   Google Scholar
• Hallin, M., and G. Mélard. 1988. “Rank-Based Tests for Randomness Against First-Order Serial Dependence.” Journal of the American Statistical Association 83 (404): 1117–1128. doi: 10.1080/01621459.1988.10478709
   Web of Science ®Google Scholar
• Kendall, M. G. 1953. “The Analysis of Economic Time-Series-Part I: Prices.” Journal of the Royal Statistical Society, Series A (General) 116 (1): 11–25. doi: 10.2307/2980947
   Web of Science ®Google Scholar
• Kendall, M. G., A. Stuart, and J. K. Ord. 1987. Kendall’s Advanced Theory of Statistics, Volume 1: Distribution Theory. 5th ed. London: Charles Griffin & Co.
   Google Scholar
• Knuth, D. E. 1998. The Art of Computer Programming, Volume 2: Seminumerical Algorithms. 3rd ed. Reading, MA: Addison-Wesley.
   Google Scholar
• Konings, J., and F. Roodhooft. 1997. “Financial Ratio Cross-Section Dynamics: A Non-Parametric Approach.” Journal of Business Finance & Accounting 24 (9–10): 1331–1342. doi: 10.1111/1468-5957.00165
   Google Scholar
• Lindeberg, J. W. 1922. “Eine Neue Herleitung des Exponentialgesetzes in der Wahrscheinlichkeitsrechnung.” Mathematische Zeitschrift 15: 211–225. (as cited by Feller, 1968). doi: 10.1007/BF01494395
   Google Scholar
• Lo, A. W., and J. Hasanhodzic. 2010. The Evolution of Technical Analysis: Financial Prediction from Babylonian Tablets to Bloomberg Terminals. Hoboken, NJ: Wiley.
   Google Scholar
• Nichols, D. C., J. M. Wahlen, and M. M. Wieland. 2017. “Pricing and Mispricing of Accounting Fundamentals in the Time-Series and in the Cross Section.” Contemporary Accounting Research 34 (3): 1378–1417. doi: 10.1111/1911-3846.12317
   Web of Science ®Google Scholar
• O’Hanlon, J. 1995. “The Univariate Time Series Modelling of Earnings: A Review.” The British Accounting Review 27 (3): 187–210. doi: 10.1006/bare.1995.0011
   Google Scholar
• Ohlson, J. A. 1995. “Earnings, Book Values, and Dividends in Equity Valuation.” Contemporary Accounting Research 11 (2): 661–687. doi: 10.1111/j.1911-3846.1995.tb00461.x
   Google Scholar
• Schleifer, A. 2000. Inefficient Markets. Oxford: Oxford University Press.
   Google Scholar
• Seddon, J. J. J. M., and W. L. Currie. 2017. “A Model for Unpacking Big Data Analytics in High-Frequency Trading.” Journal of Business Research 70: 300–307. doi: 10.1016/j.jbusres.2016.08.003
   Web of Science ®Google Scholar
• Siegel, S., and N. J. Castellan. 1988. Nonparametric Statistics for the Behavioural Sciences. 2nd ed. New York: McGraw-Hill.
   Google Scholar
• Sivarajah, U., M. M. Kamal, Z. Irani, and V. Weerakkody. 2017. “Critical Analysis of Big Data Challenges and Analytical Methods.” Journal of Business Research 70: 263–286. doi: 10.1016/j.jbusres.2016.08.001
   Web of Science ®Google Scholar
• Tippett, M., and T. Warnock. 1997. “The Garman-Ohlson Structural System.” Journal of Business Finance and Accounting 24 (7–8): 1075–1099. doi: 10.1111/1468-5957.00152
   Google Scholar
• Watts, R. L., and R. W. Leftwich. 1977. “The Time Series of Annual Accounting Earnings.” Journal of Accounting Research 15 (2): 253–271. doi: 10.2307/2490352
   Web of Science ®Google Scholar