The application of Benford's law to groud lightning data(Benford定理在地闪数据中的应用)

自然界数据库中的首位非零1~9数字并不等概率出现,其出现概率符合对数分布,即Benford定理.概述了 Benford定理及其适用范围,在研究浙江省闪电定位系统的2007~2012年监测数据时,发现正闪和负闪的每日地闪频次的首位数字占比情况非常符合Benford定理(相关系数分别为0. 995 6和0. 997 9).正闪雷电流幅值的首位数字占比情况与Benford定理相当吻合(相关系数为0.997 9),但负闪雷电流幅值的首位数字占比却与定理的相关性较差(相关系数为0. 704 9),首位数字“1”的占比明显偏低,推测原因可能为负闪的探测效率明显低于正闪,特别是幅值为十几千安的负闪探测效率可...

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Main Authors: FENGZhiwei(冯志伟), FANRong(樊荣), HULeilei(胡雷雷), ZHUBingbing(朱兵兵), ZHUKuirong(朱奎荣)
Format: Article
Language:zho
Published: Zhejiang University Press 2014-12-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2014.Supp.010
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author FENGZhiwei(冯志伟)
FANRong(樊荣)
HULeilei(胡雷雷)
ZHUBingbing(朱兵兵)
ZHUKuirong(朱奎荣)
author_facet FENGZhiwei(冯志伟)
FANRong(樊荣)
HULeilei(胡雷雷)
ZHUBingbing(朱兵兵)
ZHUKuirong(朱奎荣)
author_sort FENGZhiwei(冯志伟)
collection DOAJ
description 自然界数据库中的首位非零1~9数字并不等概率出现,其出现概率符合对数分布,即Benford定理.概述了 Benford定理及其适用范围,在研究浙江省闪电定位系统的2007~2012年监测数据时,发现正闪和负闪的每日地闪频次的首位数字占比情况非常符合Benford定理(相关系数分别为0. 995 6和0. 997 9).正闪雷电流幅值的首位数字占比情况与Benford定理相当吻合(相关系数为0.997 9),但负闪雷电流幅值的首位数字占比却与定理的相关性较差(相关系数为0. 704 9),首位数字“1”的占比明显偏低,推测原因可能为负闪的探测效率明显低于正闪,特别是幅值为十几千安的负闪探测效率可能很低.提出了可把Benford定理引入到气象数据统计软件中进行气象数据质量评估、异常数据探测等研究的设想.
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spelling doaj.art-6c16b7fb468d4fcea64664d1bf36652e2024-03-29T01:58:34ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972014-12-0141Z1626510.3785/j.issn.1008-9497.2014.Supp.010The application of Benford's law to groud lightning data(Benford定理在地闪数据中的应用)FENGZhiwei(冯志伟)0FANRong(樊荣)1HULeilei(胡雷雷)2ZHUBingbing(朱兵兵)3ZHUKuirong(朱奎荣)4Huzhou Meteorological Bureau, Huzhou 313000, Zhejiang Province, China(湖州市气象局,浙江 湖州 313000)Huzhou Meteorological Bureau, Huzhou 313000, Zhejiang Province, China(湖州市气象局,浙江 湖州 313000)Huzhou Meteorological Bureau, Huzhou 313000, Zhejiang Province, China(湖州市气象局,浙江 湖州 313000)Huzhou Meteorological Bureau, Huzhou 313000, Zhejiang Province, China(湖州市气象局,浙江 湖州 313000)Huzhou Meteorological Bureau, Huzhou 313000, Zhejiang Province, China(湖州市气象局,浙江 湖州 313000)自然界数据库中的首位非零1~9数字并不等概率出现,其出现概率符合对数分布,即Benford定理.概述了 Benford定理及其适用范围,在研究浙江省闪电定位系统的2007~2012年监测数据时,发现正闪和负闪的每日地闪频次的首位数字占比情况非常符合Benford定理(相关系数分别为0. 995 6和0. 997 9).正闪雷电流幅值的首位数字占比情况与Benford定理相当吻合(相关系数为0.997 9),但负闪雷电流幅值的首位数字占比却与定理的相关性较差(相关系数为0. 704 9),首位数字“1”的占比明显偏低,推测原因可能为负闪的探测效率明显低于正闪,特别是幅值为十几千安的负闪探测效率可能很低.提出了可把Benford定理引入到气象数据统计软件中进行气象数据质量评估、异常数据探测等研究的设想.https://doi.org/10.3785/j.issn.1008-9497.2014.Supp.010benford定理地闪频次幅值
spellingShingle FENGZhiwei(冯志伟)
FANRong(樊荣)
HULeilei(胡雷雷)
ZHUBingbing(朱兵兵)
ZHUKuirong(朱奎荣)
The application of Benford's law to groud lightning data(Benford定理在地闪数据中的应用)
Zhejiang Daxue xuebao. Lixue ban
benford定理
地闪
频次
幅值
title The application of Benford's law to groud lightning data(Benford定理在地闪数据中的应用)
title_full The application of Benford's law to groud lightning data(Benford定理在地闪数据中的应用)
title_fullStr The application of Benford's law to groud lightning data(Benford定理在地闪数据中的应用)
title_full_unstemmed The application of Benford's law to groud lightning data(Benford定理在地闪数据中的应用)
title_short The application of Benford's law to groud lightning data(Benford定理在地闪数据中的应用)
title_sort application of benford s law to groud lightning data benford定理在地闪数据中的应用
topic benford定理
地闪
频次
幅值
url https://doi.org/10.3785/j.issn.1008-9497.2014.Supp.010
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