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Sequential Analysis
Design Methods and Applications
Volume 42, 2023 - Issue 1
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Articles

Exact Inference in a Tetranomial Distribution

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Pages 1-16 | Received 17 Dec 2021, Accepted 06 Jul 2022, Published online: 12 Jan 2023

REFERENCES

  • Blackwell, D. and Girshick, M. A. (1954). Theory of Games and Statistical Decisions, Wiley, New York.
  • Bose, A. and Sinha, Bikas K. (1984). Sequential Bernoulli sampling plans re-examined. Calcutta Statist. Assoc. Bull. 33, 109–20.
  • DeGroot, M. H. (1959). Unbiased binomial sequential estimation, Ann. Math. Statist. 30, 80–101.
  • Girshick, M. A., Mosteller, F. and Savage L. J. (1946). Unbiased estimates for certain binomial sampling problems with applications, Ann. Math. Statist. 17, 13–23.
  • Lehmann, E. and Stein, C. (1950). Completeness in the sequential case, Ann. Math. Statist. 21, 376–85.
  • Gupta, M. K. (1967). Unbiased estimate for 1/p, Ann. Inst. Statist. Math. 19, 413–16.
  • Mukhopadhyay, N. and de Silva, B.M. (2009). Sequential Methods and Their Applications. Chapman and Hall/CRC, New York.
  • Rao, C.R. (1952). Advanced Statistical Methods in Biometric Research. John Wiley & Sons, Inc., New York.
  • Sinha, Bimal K. and Banerjee, P.K. (1979). Generating an event with probability pα, α>0. Sankhya, Series B, 41, 282–85.
  • Sinha, B. K. and Bhattacharya, B. B. (1982). Some further aspects of sequential estimation of 1/p, mimeograph series, North Carolina State University.
  • Sinha, Bikas K. and Bose, A. (1985). Unbiased sequential estimation of 1/p: settlement of a conjecture. Ann. Inst. Statist. Math. 37, 455–60.
  • Sinha, Bikas K. and Sinha, Bimal K. (1975). Some problems of unbiased sequential binomial estimation. Ann. Inst. Statist. Math. 27, no. 2, 245–58.
  • Sinha, Bimal K. and Sinha, Bikas K. (1992). Unbiased sequential binomial estimation. Current issues in statistical inference: essays in honor of D. Basu, 75–85, IMS Lecture Notes Monogr. Ser., 17, Inst. Math. Statist., Hayward, CA.
  • Tarafdar, P. (2016). Trinomial Distributions: Probabilistic and Inferential Aspects. Unpublished Project Report, Indian Institute of Technology, Kanpur, India.
  • Tarafdar, P., Sultana, P. and Sinha, Bikas. K. (2019). Unbiased Sequential Binomial/Trinomial Parameter(s) Estimation: An Informative Review. Int’l. Jour. Statist. Sciences, 20(2), 57–84. Department of Statistics, Rajshahi University, B’Desh.
  • Wasan, M. T. (1964). Sequential optimum procedures for unbiased estimation of a binomial parameter, Technometrics 6, 259–72.
  • Wolfowitz, J. (1946). On sequential binomial estimation, Ann. Math. Statist. 17, 489–93.
  • Wolfowitz, J. (1947). Efficiency of sequential estimates, Ann. Math. Statist. 18, 215–30.

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