Free Access
Volume 19, 2015
Page(s) 626 - 648
Published online 02 December 2015
  1. A.D. Bain, Crisan, Fundamentals of stochastic filtering. Vol. 60 of Stoch. Model. Appl. Probab. Springer, New York (2009). [Google Scholar]
  2. J.A. Bather, Bayes Procedures for Deciding the Sign of a Normal Mean. In vol. 58 of Proc. Camb. Philos. Soc. (1962) 599–620. [Google Scholar]
  3. P.J. Bickel and Y.A. Yahav, On the Wiener Process Approximation to Bayesian Sequential Testing Problems. In vol. 1 of Proc. of Sixth Berkeley Symp. Math. Statist. Probab. (1972) 57–84. [Google Scholar]
  4. J. Breakwell and H. Chernoff, Sequential tests for the mean of a normal distribution. II. (Large t). Ann. Math. Statist. 35 (1964) 162–173. [CrossRef] [MathSciNet] [Google Scholar]
  5. H. Chernoff, Sequential Tests for the Mean of a Normal Distribution. In vol. 1 of Proc. of 4th Berkeley Sympos. Math. Statist. Prob. (1961) 79–91. [Google Scholar]
  6. H. Chernoff, Sequential tests for the mean of a normal distribution III (small t). Ann. Math. Statist. 36 (1965) 28–54. [CrossRef] [MathSciNet] [Google Scholar]
  7. H. Chernoff, Sequential tests for the mean of a normal distribution IV (discrete case). Ann. Math. Statist. 36 (1965) 55–68. [CrossRef] [MathSciNet] [Google Scholar]
  8. E. Ekström, Properties of American option prices. Stochastic Process. Appl. 114 (2004) 265–278. [CrossRef] [MathSciNet] [Google Scholar]
  9. P. Gapeev and G. Peskir, The Wiener sequential testing problem with finite horizon. Stoch. Stoch. Rep. 76 (2004) 59–75. [CrossRef] [MathSciNet] [Google Scholar]
  10. S. Jacka, Optimal stopping and the American put. Math. Finance 1 (1991) 1–14. [CrossRef] [MathSciNet] [Google Scholar]
  11. S. Janson and J. Tysk, Volatility time and properties of option prices. Ann. Appl. Probab. 13 (2003) 890–913. [CrossRef] [Google Scholar]
  12. I. Karatzas and S. Shreve, Brownian Motion and Stochastic Calculus, 2nd edition. Vol. 113 of Grad. Texts Math. Springer-Verlag, New York (1991). [Google Scholar]
  13. I. Karatzas and S. Shreve, Methods of Mathematical Finance. Vol. 39 of Appl. Math. Springer-Verlag, New York (1998). [Google Scholar]
  14. A. Klenke, Probability Theory: A Comprehensive Course. Universitext. Springer–Verlag, London (2008). [Google Scholar]
  15. T.L. Lai, Nearly optimal sequential tests of composite hypotheses. Ann. Statist. 16 (1988) 856–886. [CrossRef] [MathSciNet] [Google Scholar]
  16. T.L. Lai, On optimal stopping problems in sequential hypothesis testing. Statistica Sinica 7 (1997) 33–51. [Google Scholar]
  17. B. Øksendal, Stochastic Differential Equations. An Introduction with Applications, 6th edition. Universitext. Springer-Verlag, Berlin (2003). [Google Scholar]
  18. G. Peskir, A change-of-variable formula with local time on curves. J. Theoret. Probab. 18 (2005) 499–535. [CrossRef] [MathSciNet] [Google Scholar]
  19. G. Peskir, On the American option problem. Math. Finance 15 (2005) 169–181. [CrossRef] [MathSciNet] [Google Scholar]
  20. G. Peskir and A. Shiryaev, Optimal Stopping and Free-Boundary Problems. Lect. Math. ETH Zürich. Birkhäuser Verlag, Basel (2006). [Google Scholar]
  21. A.N. Shiryaev, Two problems of sequential analysis. Cybernetics 3 (1967) 63–69. [CrossRef] [Google Scholar]
  22. M. Zhitlukhin and A. Muravlev, On Chernoff’s hypotheses testing problem for the drift of a Brownian motion. Theory Probab. Appl. 574 (2013) 708–717. [CrossRef] [Google Scholar]

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