arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1012.0465physics.data-an
收藏

关于结合意义。一些琐碎的例子

On combining significances. Some trivial examples

N. V. Krasnikov, S. I. Bityukov

摘要:

对于泊松分布$Pois(n, λ)$与$λ\gg 1$,$n \gg 1$,我们建议将显著性确定为$S = \frac{n_{obs}-λ}{\sqrtλ}$。意义$S$与常用意义一致。对于测量相同量的实验,显著性组合的自然但不是唯一的规则是$S_{comb}(S_1, S_2) = \frac{S_1σ_1+S_2σ_2}{\sqrt{σ^2_1+σ^2_2}}$,其中$σ_1$和$σ_2$是变体。对于存在系统误差的情况,我们还提出了显著性合并准则。

英文摘要:

For Poisson distribution $Pois(n, λ)$ with $λ\gg 1$, $n \gg 1$ we propose to determine significance as $S = \frac{n_{obs}-λ}{\sqrtλ}$. The significance $S$ coincides up to sign with often used significance. For experiments which measure the same quantities the natural but not unique rule for significance combining is $S_{comb}(S_1, S_2) = \frac{S_1σ_1+S_2σ_2}{\sqrt{σ^2_1+σ^2_2}}$, where $σ_1$ and $σ_2$ are variations. We also propose the rule for significances combining for the case with systematic errors.

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。

↑