Moment Distributions in Economics: An Exposition

Moment Distributions in Economics: An Exposition
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经济学中的矩分布:阐述

DOI:
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发表时间:
1975
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通讯作者:
P. E. Hart
P. E. Hart
中科院分区:
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文献类型:
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作者:
P. E. Hart

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在社会科学中,特别是在经济学中,许多规模分布的总结,如赫芬达尔指数,被使用,而不是基于统计分布理论。每一项措施都被视为一项独特的贡献。本文用矩分布的矩表示了这些特别措施中最常见的一种,矩分布牢牢扎根于分布理论,并在物理学的小粒子统计中得到了很好的证实。也就是说,这些临时措施是由潜在规模分布的时刻控制的,并没有增加经济规模分布的经典统计分析所提供的知识。
SUMMARY In the social sciences, particularly in economics, many summaries of size distributions, such as the Herfindahl index, are used which are not based on statistical distribution theory. Each measure is regarded as a unique contribution. The present paper expresses the most common of these ad hoc measures in terms of the moments of moment distributions, which are firmly rooted in distribution theory and which are well established in the small particle statistics of physics. That is, these ad hoc measures are governed by the moments of the underlying size distribution and do not add to the knowledge provided by the classical statistical analysis of economic size distributions.