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Quadratic order estimates and moments of normal order statistics

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Summary

Minimum variance unbiased quadratic order estimates for the variance is derived. An example of a rectangular distribution is given. For a normal distribution, certain relationships among the moments of order statistics are obtained and may be used to simplify the determination of the said estimates.

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References

  1. A. E. Sarhan and B. Greenberg,Contributions to Order Statistics, John Wiley, 1962.

  2. K. C. Seal, “ On minimum variance among certain linear functions of order statistics,”Ann. Math. Statist., 27 (1956), 854–855.

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Authors and Affiliations

  1. Uniyersity of Pennsylvania, USA

    J. T. Chu & K. Ya’Coub

Authors
  1. J. T. Chu
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  2. K. Ya’Coub
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Additional information

Research supported by the National Institutes of Health under Contract GM-09054

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Chu, J.T., Ya’Coub, K. Quadratic order estimates and moments of normal order statistics. Ann Inst Stat Math 18, 337–341 (1966). https://doi.org/10.1007/BF02869540

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  • DOI: https://doi.org/10.1007/BF02869540

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