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arXiv 0906.2789stat.AP
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2009年伊朗总统选举中的一位数异常

A first-digit anomaly in the 2009 Iranian presidential election

Boudewijn F. Roukema

摘要:

提出了一种局部自举方法用于分析选举人票计数的第一位数频率,补充了本福德定律的限制。该方法在2002年至2006年的五次总统选举第一轮中进行了校准,并应用于2009年伊朗总统选举第一轮。候选人K具有从数字7开始的非常显著(p <0.15%)的超额投票计数。这导致其他异常,其中两个在p \sim 0.1%时单独显著,一个在p \sim 1%时显著。独立地,伊朗选举前的民意调查大大否定了官方结果,除非单独考虑有利于候选人A的五次民意调查。如果后者代表标准化数据,并使用线性、最小二乘、等权重拟合,则候选人R和K在选举前突然戏剧性地(70% \pm 15%)失去了选举支持,或者官方结果被拒绝(p \sim 0.01%)。

英文摘要:

A local bootstrap method is proposed for the analysis of electoral vote-count first-digit frequencies, complementing the Benford's Law limit. The method is calibrated on five presidential-election first rounds (2002--2006) and applied to the 2009 Iranian presidential-election first round. Candidate K has a highly significant (p< 0.15%) excess of vote counts starting with the digit 7. This leads to other anomalies, two of which are individually significant at p\sim 0.1%, and one at p\sim 1%. Independently, Iranian pre-election opinion polls significantly reject the official results unless the five polls favouring candidate A are considered alone. If the latter represent normalised data and a linear, least-squares, equal-weighted fit is used, then either candidates R and K suffered a sudden, dramatic (70%\pm 15%) loss of electoral support just prior to the election, or the official results are rejected (p\sim 0.01%).

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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