A method to estimate power parameter in Exponential Power Distribution via polynomial regression
Daniele Coin ()
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Daniele Coin: Bank of Italy
No 834, Temi di discussione (Economic working papers) from Bank of Italy, Economic Research and International Relations Area
Abstract:
The Exponential Power Distribution (EPD), also known as Generalized Error Distribution (GED), is a flexible symmetrical unimodal family belonging to the exponential family. The EPD becomes the density function of a range of symmetric distributions with different values of its power parameter B. A closed-form estimator for B does not exist, so the power parameter is usually estimated numerically. Unfortunately the optimization algorithms do not always converge, especially when the true value of B is close to its parametric space frontier. In this paper we present an alternative method for estimating B, based on the Normal Standardized Q-Q Plot and exploiting the relationship between B and the kurtosis. It is a direct method that does not require computational efforts or the use of optimization algorithms.
Keywords: Exponential Power Distribution; kurtosis; normal standardized Q-Q plot. (search for similar items in EconPapers)
JEL-codes: C14 C15 C63 (search for similar items in EconPapers)
Date: 2011-11
New Economics Papers: this item is included in nep-ecm and nep-ets
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Persistent link: https://EconPapers.repec.org/RePEc:bdi:wptemi:td_834_11
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