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Sequential Analysis
Design Methods and Applications
Volume 38, 2019 - Issue 3
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Original Articles

A k-stage procedure for estimating the mean vector of a multivariate normal population

Ajit ChaturvediDepartment of Statistics, University of Delhi, Delhi, India; ORCID Iconhttp://orcid.org/0000-0002-9453-8519View further author information
ORCID Icon,
Sudeep R. BapatDepartment of Statistics and Applied Probability, University of California, Santa Barbara, California, USAORCID Iconhttp://orcid.org/0000-0003-3787-1830View further author information
ORCID Icon &
Neeraj JoshiDepartment of Statistics, University of Delhi, Delhi, India; Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-9017-4255View further author information
ORCID Icon
Pages 369-384 | Received 24 Feb 2019, Accepted 09 Jul 2019, Published online: 25 Sep 2019

References

  • Anscombe, F. J. (1953). Sequential Estimation, Journal of Royal Statistical Society, Series B 15: 1–21.
  • 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.
  • Fisher, R. A. (1936). The Use of Multiple Measurements in Taxonomic Problems, Annals of Eugenics 7: 179–188.
  • Hall, P. (1981). Asymptotic Theory of Triple Sampling for Sequential Estimation of a Mean, Annals of Statistics 9: 1229–1238.
  • Korkmaz, S., Goksuluk, D., and Zararsiz, G. (2014). Mvn: An R Package for Assessing Multivariate Normality, R Journal 6: 151–162.
  • Liu, W. (1997). A k-Stage Sequential Sampling Procedure for Estimation of Normal Mean, Journal of Statistical Planning and Inference 65: 109–127.
  • Mukhopadhyay, N. (1975). Sequential Methods in Estimation and Prediction, Ph.D. diss. Indian Statistical Institute, Calcutta.
  • Robbins, H. (1959). Sequential Estimation of the Mean of a Normal Population, in Probability and Statistics (Harold Cramer Volume), pp. 235–245, Uppsala: Almquist and Wiksell.
  • Srivastava, M. S. (1967). On Fixed-Width Confidence Bounds for Regression Parameters and Mean Vector, Journal of Royal Statistical Society B 29: 132–140.

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