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The Ewens sampling formula is a distribution related to the random partitionof a positive integer. In this study, we investigate the issue of non-existencesolutions in parameter estimation under the distribution. As a result, thefirst and second moments matching estimators to the uniformly minimum varianceunbiased estimator are derived using the Ewens sampling formula in asymptoticsense. A Monte Carlo simulation study is performed to evaluate the efficiencyof the resulting estimators.

Asymptotic Moments Matching to Uniformly Minimum Variance Unbiased Estimation under Ewens Sampling Formula