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arXiv 1104.0040math.STstat.TH
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皮尔逊二次q分布族的矩基推断

Moment-based inference for Pearson's quadratic q subfamily of distributions

Giorgos Afendras

摘要:

作者利用Stein型协方差恒等式得到了皮尔逊分布二次多项式子族参数的矩估计。得到了估计量的渐近分布,并在此基础上进行了正态性和对称性检验。模拟是用来比较的性能与其他现有的对称性和正态性的测试所提出的测试。

英文摘要:

The author uses a Stein-type covariance identity to obtain moment estimators for the parameters of the quadratic polynomial subfamily of Pearson distributions. The asymptotic distribution of the estimators is obtained, and normality and symmetry tests based on it are provided. Simulation is used to compare the performance of the proposed tests with that of other existing tests for symmetry and normality.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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