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Statistical Papers

, Volume 34, Issue 1, pp 369–375 | Cite as

Representations for bias and variance of the sample standard deviation

Notes

Abstract

Under a moment condition, representations for bias and variance of the sample standard deviation are established; explicit knowledge of the underlying distribution is not required.

Keywords

Moment Condition Explicit Knowledge Explicit Representation Approximation Theorem Central Moment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Chow, Y.S., Teicher, H. (1988). Probability theory. Springer, New York.MATHGoogle Scholar
  2. Cramér, H. (1958). Mathematical methods of statistics. Princeton University Press, Princeton.Google Scholar
  3. Lehmann, E.L. (1983). Theory of point estimation. Wiley, New York.MATHGoogle Scholar
  4. Serfling, R.J. (1980). Approximation theorems of mathematical statistics. Wiley, New York.MATHGoogle Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • M. Weba
    • 1
  1. 1.Institut für Mathematische StochastikUniversität HamburgHamburg

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