Abstract
It is shown that the moments of order statistics in samples drawn from a population symmetric about zero can be expressed in terms of the moments of order statistics in samples drawn from the population obtained by folding the symmetric population at zero. Also, odd moments of the largest order statistic in samples of even sizes and even moments of the largest order statistic in samples of odd sizes drawn from the folded population can be expressed purely in terms of the moments of the order statistics in samples drawn from the symmetric population. The cumulative round off error involved in numerical evaluation of the moments of order statistics from the symmetric population, using a table of the moments of the order statistics from the folded population, is not serious except for the mixed moments in which case, a bound on the maximum error is available. An application is also considered.
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