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Sequential Analysis
Design Methods and Applications
Volume 41, 2022 - Issue 3
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Articles

Two-stage and sequential unbiased estimation of N in binomial trials, when the probability of success p is unknown

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Pages 275-284 | Received 11 Jan 2022, Accepted 10 May 2022, Published online: 29 Aug 2022

REFERENCES

  • Binet, F. E. 1953. “The Fitting of the Positive Binomial Distribution When Both Parameters Are Estimated from the Sample.” Ann. Eugenics 18:117–9.
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  • DasGupta, A., and H. Rubin. 2005. “Estimation of Binomial Parameters When Both n, p Are Unknown.” Journal of Statistical Planning and Inference 130 (1-2):391–404. doi:10.1016/j.jspi.2004.02.019
  • De, S. K., and S. Zacks. 2016. “Two-Stage and Sequential Estimation of Parameter N of Binomial Distribution When p is Known.” Sequential Analysis 35 (4):440–52. doi:10.1080/07474946.2016.1238255
  • Kendall, M. G., and A. Stuart. 1958. “The Advanced Theory of Statistics.” Vol. 1. Distribution Theory. New York: Hafner Publishing Co.
  • Khan, R. 2021. Unbiased Estimation of N in Binomial Distribution B(N, p) When p is also unknown. Preprint.
  • R Core Team (2021). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. https://www.R-project.org/.
  • Saad, S.,. S. Hossain, and A. Volodin. 2021. “Asymptotic Analysis of Method of Moments Estimators of Both Parameters for the Binomial Distribution: Theoretical Part.” Thailand Statistician 19:43–58.
  • Whittaker, L. 1914. “On the Poisson Law of Small Numbers.” Biometrika 10:36–71.

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