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Low Moments of Symmetric Variables

Hydar Ali


For a random sample from a standard normal distribution, Jones (1948) has given some exact lower moments of the corresponding order statistics. In this paper, these results are extended to random samples from populations that are symmetrically distributed about some arbitrary point. These can then be used to calculate low moments of some statistics
introduced in Ali (2001) for testing symmetry of distributions.


Mean; variance; covariance; order statistics; symmetric random variables; standard normal.

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