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arXiv 1105.4949astro-ph.CO
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HST重点项目数据的非高斯性和方向依赖系统学

Non-Gaussianity and direction dependent systematics in HST key project data

Shashikant Gupta, Tarun Deep Saini

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6 pages, 4 figures; accepted for publication in MNRAS
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摘要：

在\cite{gupta08,gupta10}中，基于极值理论导出了两个新的统计量，即$Δ_χ^2$和$Δ_χ$。我们使用这些统计数据来研究HST关键项目数据中的方向依赖性，该数据提供了最精确的哈勃常数测量。我们还研究了非高斯性在这个数据集使用这些统计。我们的研究结果$Δ_χ^2$表明，方向相关的系统学的意义被限制到远低于一个$σ$置信限，然而，存在的非高斯特征是微妙的。另一方面，$Δ_χ$统计，这是更敏感的方向依赖，显示方向依赖系统是在稍高的置信水平，和非高斯特征的存在下，在一个类似的水平，$Δ_χ^2$统计。

英文摘要：

Two new statistics, namely $Δ_χ^2$ and $Δ_χ$, based on extreme value theory, were derived in \cite{gupta08,gupta10}. We use these statistics to study direction dependence in the HST key project data which provides the most precise measurement of the Hubble constant. We also study the non-Gaussianity in this data set using these statistics. Our results for $Δ_χ^2$ show that the significance of direction dependent systematics is restricted to well below one $σ$ confidence limit, however, presence of non-Gaussian features is subtle. On the other hand $Δ_χ$ statistic, which is more sensitive to direction dependence, shows direction dependence systematics to be at slightly higher confidence level, and the presence of non-Gaussian features at a level similar to the $Δ_χ^2$ statistic.

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