Exact expressions for the bias and variance of estimators of the mean of a lognormal distribution

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<title>Exact expressions for the bias and variance of estimators of the mean of a lognormal distribution</title>
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<title>American Industrial Hygiene Association journal</title>
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<namePart>Attfield, M.D.</namePart>
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<namePart>Hewett, Paul</namePart>
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<abstract displayLabel="Summary">Exact mathematical expressions are given for the bias and variance of the arithmetic and maximum likelihood estimators of the first moment (mean) of a lognormal distribution. On the basis of these exact expressions, and without the need for simulation, statistics on the bias and variance have been computed for a range of sample sizes and geometric standards desviations. The results reaffirm that an unbiased maximum likelihood estimator exists that has minimum variance</abstract>
<note type="statement of responsibility">M.D. Attfield and P. Hewett</note>
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<text>Vol. 53, nº 7, July 1992 ; p. 432-435</text>
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