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arXiv 1801.09776astro-ph.SR
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极值理论在千年太阳黑子数序列中的应用

Extreme value theory applied to the millennial sunspot number series

F. J. Acero, M. C. Gallego, J. A. García, I. G. Usoskin, J. M. Vaquero

摘要:

在这项工作中,我们使用两个十年太阳黑子数系列重建宇宙成因放射性核素数据(14 C在树干,SN-14 C和10 Be在极地冰,SN-10 Be)和极值理论研究太阳活动的变化在过去的9000年。特别地,使用超过阈值的峰技术来计算不同阈值的广义Pareto分布的形状参数。其负值意味着极端SN-10 Be和SN-14 C时间序列的上限。1000年和10000年的回报水平估计导致的值低于最大观测值,预计为1000年,但不是10000年的回报水平,这两个系列。将这些结果与过去四个世纪中望远镜观测到的太阳黑子数进行比较,表明太阳活动的主要特征已经在望远镜时期(从1610年到现在)记录下来,该时期涵盖了从极大极小期到极大期的太阳变化的全部范围。

英文摘要:

In this work, we use two decadal sunspot number series reconstructed from cosmogenic radionuclide data (14C in tree trunks, SN-14C and 10Be in polar ice, SN-10Be) and the Extreme Value Theory to study variability of solar activity during the last 9 millennia. The peaks-over-threshold technique was used to compute, in particular, the shape parameter of the generalized Pareto distribution for different thresholds. Its negative value implies an upper bound of the extreme SN-10Be and SN-14C time series. The return level for 1000 and 10000 years were estimated leading to values lower than the maximum observed values, expected for the 1000-year, but not for the 10000-year return levels, for both series. A comparison of these results with those obtained using the observed sunspot numbers from telescopic observations during the last four centuries suggest that the main characteristics of solar activity have already been recorded in the telescopic period (from 1610 to nowadays) which covers the full range of solar variability from a Grand minimum to a Grand maximum.

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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