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Original Articles

Confidence Interval Estimation Following SPRT in a Normal Distribution with Equal Mean and Variance

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Pages 504-531 | Received 20 Jan 2015, Accepted 30 Jun 2015, Published online: 05 Jan 2016

REFERENCES

  • Anscombe, F. J. (1952). Large Sample Theory of Sequential Estimation, Proceedings of Cambridge Philosophical Society 48: 600–607.
  • Bhattacharjee, D. and Mukhopadhyay, N. (2011). On UMP Test and MVUEs in a N(θ, cθ) Distribution with Unknown θ: Illustrations and Applications, Journal of Japan Statistical Society 41: 75–91.
  • Bhattacharjee, D. and Mukhopadhyay, N. (2012). On SPRT and RSPRT for the Unknown Mean in a Normal Distribution with Equal Mean and Variance, Sequential Analysis 31: 108–134.
  • Chow, Y. S. and Robbins, H. (1965). On the Asymptotic Theory of Fixed Width Sequential Confidence Intervals for the Mean, Annals of Mathematical Statistics 36: 457–462.
  • Cox, D. R. (1952). A Note on Sequential Estimation of Means, Proceedings of Cambridge Philosophical Society 48: 447–450.
  • Efron, B. (1987). Better Bootstrap Confidence Intervals, Journal of American Statistical Association 82: 171–185.
  • Efron, B. and Tibshirani, R. J. (1993). An Introduction to Bootstrap, Boca Raton: CRC/Chapman and Hall.
  • Ghosh, B. K. (1970). Sequential Tests of Statistical Hypotheses, Reading: Addison-Wesley.
  • Ghosh, M. and Mukhopadhyay, N. (1981). Consistency and Asymptotic Efficiency of Two-Stage and Sequential Procedures, Sankhya, Series A 43: 220–227.
  • Ghosh, M., Mukhopadhyay, N., and Sen, P. K. (1997). Sequential Estimation, New York: Wiley.
  • Ghosh, B. K. and Sen, P. K. (1991). Handbook of Sequential Analysis, New York: Dekker.
  • Gut, A. (2012). Anscombe's Theorem 60 Years Later, Sequential Analysis 31: 368–396.
  • Hall, P. (1992). The Bootstrap and Edgeworth Expansion, New York: Springer.
  • Johnson, N. L., Kotz, S., and Balakrishnan, N. (1995). Continuous Univariate Distributions, vol. 2, 2nd ed., New York: Wiley.
  • Mukhopadhyay, N. and Chattopadhyay, B. (2012). A Tribute to Frank Anscombe and Random Central Limit Theorem from 1952, Sequential Analysis 31: 265–277.
  • Mukhopadhyay, N. and de Silva, B. M. (2009). Sequential Methodologies and Their Applications, Boca Raton: CRC/Chapman & Hall.
  • Mukhopadhyay, N. and Solanky, T. K. S. (1994). Multistage Selection and Ranking Procedures, New York: Dekker.
  • Rao, C. R. (1973). Linear Statistical Inference and Its Applications, 2nd ed., New York: Wiley.
  • Siegmund, D. (1978). Estimation Following Sequential Tests, Biometrika 65: 341–349.
  • Siegmund, D. (1985). Sequential Analysis: Tests and Confidence Intervals, New York: Springer.
  • Stein, C. (1945). A Two Sample Test for a Linear Hypothesis Whose Power Is Independent of the Variance, Annals of Mathematical Statistics 16: 243–258.
  • Stein, C. (1949). Some Problems in Sequential Estimation, Econometrica 17: 77–78.
  • Wald, A. (1947). Sequential Analysis, New York: Wiley.
  • Woodroofe, M. (1982). Nonlinear Renewal Theory in Sequential Analysis, CBMS #39, Philadelphia: SIAM.
  • Zacks, S. (2009). Stage-Wise Adaptive Designs, New York: Wiley.

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