摘要
本文介绍了一种针对多元数据的中心对称性检验和中心估计问题所提出的新方法.方法中的检验统计量是基于经验特征函数并使用了两个特殊的权重函数的权重积分,具有简单和封闭的形式,并易于计算.基于这一新的检验统计量,进一步又能导出相应的具有渐近正态性的最小距离估计量作为中心估计量.与传统的中心估计量相比,新的估计量在稳健性方面有较大的优势.我们将这一新的基于经验特征函数加权积分的中心估计法用于研究太阳黑子相对数、黑子面积和太阳总辐射流量这三个太阳活动的主要参数,以期寻找大量观测时点中更能代表太阳活动变化特征的时期数据序列.通过与均值法和中位数法的比较,新方法一方面能够在太阳活动变化剧烈的时期体现出其在稳健性方面的优势,另一方面又能够在其他时期基本保持和均值法相近的有效性.新的数据序列与东北地区雪盖面积变化的相干分析表明,在多个不同频段二者均存在着相干关系,说明太阳活动对雪盖变化存在影响.
In this paper, we introduce a new method about testing for central symmetry and inference of the unknown center with multivariate data. The test statistics are based on weighted integrals of empirical characteristic functions. With two special weight functions, the test statistics have simple, closed forms and are easy to implement. To estimate the unknown center, this method further derives two classes of minimum distance estimators based on the test statistics. The asymptotic normalities are derived. Compare to traditional methods, the new estimators show better performance in terms of robustness. We apply this new center estimator to the study of solar activity: the center estimator based on the weighted integrals of empirical characteristic functions is used for the sunspot relative number, the area of sunspot, and the total solar irradiance, which is the three main parameters of solar activities. The results are compared with the mean method and the median method in order to find a time series of data that is more representative of the characteristics of solar activity in a large number of observed time points. On the one hand, the new method has its advantage in respect of robustness during periods of intensive solar activity. On the other hand, the new method can basically maintain the efficiency of mean method in the other period. This not only has important research value for studying the law of solar activity itself, but also has important application value for the study of the relationship between Sun and earth. The new data sequence is applied to the analysis of snow cover in Northeast of China. From the coherence analysis, it could be seen that there is a relationship between the solar activity and the snow cover on different frequency bands, which illustrate the effect of solar activity on the snow cover change.
作者
戴新劼
赵娟
郭旭
刘金获
DAI Xin-jie;ZHAO Juan;GUO Xu;LIU Jin-huo(Department of Astronomy,Beijing Normal University,Beijing 100875,China;School of Statistics,Beijing Normal University,Beijing 100875,China)
出处
《地球物理学进展》
CSCD
北大核心
2019年第5期1736-1742,共7页
Progress in Geophysics
基金
国家自然科学基金青年科学基金项目(11203004)资助
关键词
中心估计法
太阳活动
东北地区
雪盖
Central symmetry and inference of the unknown center
Solar activity
Northeast of China
Snow cover
