The maximum likelihood estimates of the median m and mean-to-median ratio ρ for a log-normally distributed variate are derived, together with the asymptotic variances of these estimates. Using a Monte Carlo simulation, it is shown that these asymptotic variances of the estimates are reasonable when the number of sample points is N ⩾ 50forp ⩽ 8.
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W.J. Szajnowski (1977) studied this question.
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