# Methods to Distinguish Between Polynomial and Exponential Tails

```@article{Castillo2011MethodsTD,
title={Methods to Distinguish Between Polynomial and Exponential Tails},
author={Joan del Castillo and Jalila Daoudi and Richard A. Lockhart},
journal={Scandinavian Journal of Statistics},
year={2011},
volume={41}
}```
• Published 2 December 2011
• Mathematics
• Scandinavian Journal of Statistics
Two methods to distinguish between polynomial and exponential tails are introduced. The methods are based on the properties of the residual coefficient of variation for the exponential and non‐exponential distributions. A graphical method, called a CV‐plot, shows departures from exponentiality in the tails. The plot is applied to the daily log‐returns of exchange rates of US dollar and Japanese yen. New statistics are introduced for testing the exponentiality of tails using multiple thresholds…
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