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Biometrika 1967 54(1-2):155-165; doi:10.1093/biomet/54.1-2.155
© 1967 by Biometrika Trust
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Estimating the mean and standard deviation from a censored normal sample

M. L. TIKU

Department of Applied Statistics, University of Reading

The relation g(x) ~= {alpha}+ßx, where g(x) is the ratio of the ordinate and the probability integral of a normal distribution, is used to derive estimators µc and {sigma}c of the population mean and standard deviation, from a censored normal sample. Them eatimators are easy to compute. For symmetrical censoring µc is unbiased and for moderate censoring the biaa in both µc and {sigma}c is small. In term of efficiency, µc and {sigma}c seem to be as good as the maximum likelihood (M.L.) estimators and better than the best linear unbiased (B.L.U.) estimators. A pair of nearly unbiased estimators µ'c and {sigma}'c, more efficient than the B.L.U. estimators, is also obtained.


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