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References
L. H. C. Tippett. “On the extreme individuals and the range of samples taken from a normal population” Biometrika, Vol. 17, P. 364.
E. S. Pearson and H. O. Hartley, “The probability intergral of the range in samples ofn observations from a normal population.” Biometrika. Vol. 32, Part III and IV, (1942).
F. E. Grabbs and C. L. Weaver, “The best unbiased estimate of population standard deviation based on group ranges.” Journal of the American Statistical Association, Vol. 42, (1947), pp. 224–241.
F. Mosteller, “On some useful ‘inflieient’ statistics.” Ann. Math. Stat., Vol. 17 (1946), pp. 377–408.
J. H. Cadwell, “The distribution of quasi-ranges in samples from a normal population.“, Ann. Math. Stat., Vol. 24 (1953), pp. 603–613.
H. J. Godwin, “On the distribution of the estimate of mean deviation obtained from samples from a normal population,“ Biometrika, Vol. 33 (1945), pp. 254–265.
F. E. Grubbs, “Sample criteria for testing outlying observations.” Ann. Math. Stat., Vol. 21 (1950), pp. 27–58.
M. Shiotani, “On the distribution of the sum of the positive or negative deviations from the mean in the sample drawn from the normal population.” The Proceedings of the Institute of Statistical Mathematics, (in Japanese), Vol. 2, No. 1 (1954), pp. 63–74.
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The details of this paper are given in [8] which was written in Japanese
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Siotani, M. An estimate of standard deviation of normal population based on the difference between means of two groups divided by sample mean. Ann Inst Stat Math 6, 153–160 (1954). https://doi.org/10.1007/BF02900744
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DOI: https://doi.org/10.1007/BF02900744