On Some Simple Estimates of an Exponent of Regular Variation

On Some Simple Estimates of an Exponent of Regular Variation
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DOI:
10.1111/j.2517-6161.1982.tb01183.x
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发表时间:
1982-09
期刊:
Journal of the royal statistical society series b-methodological
影响因子:
--
通讯作者:
P. Hall
P. Hall
中科院分区:
其他
文献类型:
--
作者:
P. Hall

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我们给出了一类正则变分指数的简单估计。与最近由de Haan和Resnick(1980)提出的不同,我们的模型收敛于代数速率而不是对数速率,并且与Teugels(1980)所考虑的不同,它们的形式不依赖于未知指数。
SUMMARY We present a class of simple estimates of an exponent of regular variation. Unlike those proposed recently by de Haan and Resnick (1980), ours converge at an algebraic rather than a logarithmic rate, and unlike those considered by Teugels (1980), their form does not depend on the unknown exponent.