کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5088654 | 1478321 | 2015 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A parametric alternative to the Hill estimator for heavy-tailed distributions
ترجمه فارسی عنوان
یک جایگزین پارامتریک برای برآوردگر هیل برای توزیع سنگین باله
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کلمات کلیدی
موضوعات مرتبط
علوم انسانی و اجتماعی
اقتصاد، اقتصادسنجی و امور مالی
اقتصاد و اقتصادسنجی
چکیده انگلیسی
Despite its wide use, the Hill estimator and its plot remain to be difficult to use in Extreme Value Theory (EVT) due to substantial sampling variations in extreme sample quantiles. In this paper, we propose a new plot we call the eigenvalue plot which can be seen as a generalization of the Hill plot. The theory behind the plot is based on a heavy-tailed parametric distribution class called the scaled Log phase-type (LogPH) distributions, a generalization of the ordinary LogPH distribution class which was previously used to model insurance claims data. We show that its tail property and moment condition are well aligned with EVT. Based on our findings, we construct the eigenvalue plot from fitting a shifted PH distribution to the excess log data with a minimal phase size. Through various numerical examples we illustrate and compare our method against the Hill plot.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Banking & Finance - Volume 54, May 2015, Pages 60-71
Journal: Journal of Banking & Finance - Volume 54, May 2015, Pages 60-71
نویسندگان
Joseph H.T. Kim, Joocheol Kim,