A method to estimate power parameter in Exponential Power Distribution via polynomial regression
2011
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 . A closed-form estimator for 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 is close to its parametric space frontier. In this paper we present an alternative method for estimating , based on the Normal Standardized Q-Q Plot and exploiting the relationship between and the kurtosis. It is a direct method that does not require computational efforts or the use of optimization algorithms. JEL Classification: C14, C15, C63.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
66
References
0
Citations
NaN
KQI