The uniform distribution is complete with respect to testing identity to a fixed distribution

The uniform distribution is complete with respect to testing identity to a fixed distribution
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均匀分布对于测试固定分布的一致性而言是完整的

DOI:
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发表时间:
2016
期刊:
Electron. Colloquium Comput. Complex.
影响因子:
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通讯作者:
Oded Goldreich
Oded Goldreich
中科院分区:
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文献类型:
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作者:
Oded Goldreich

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受Diakonikolas和Kane(2016)的启发,我们减少了包括测试[N]的未知分布是否等于固定分布是否等于固定分布在[N]上均匀的特殊情况的问题类别。我们的还原保留了问题的参数,即n,接近性参数\(\ epsilon> 0 \),最高为常数因子。
Inspired by Diakonikolas and Kane (2016), we reduce the class of problems consisting of testing whether an unknown distribution over [n] equals a fixed distribution to the special case in which the fixed distribution is uniform over [n]. Our reduction preserves the parameters of the problem, which are n and the proximity parameter \(\epsilon >0\), up to a constant factor.