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Applications of a General Stable Law Regression Model

McHale, I; Laycock, PJ

Authors

I McHale

PJ Laycock



Abstract

In this paper we present a method for performing regression with stable disturbances. The method of maximum likelihood is used to estimate both distribution and regression parameters. Our approach utilises a numerical integration procedure to calculate the stable density, followed by sequential quadratic programming optimisation procedures to obtain estimates and standard errors. A theoretical justification for the use of stable law regression is given followed by two real world practical examples of the method. First, we fit the stable law multiple regression model to housing price data and examine how the results differ from normal linear regression. Second, we calculate the beta coefficients for 26 companies from the Financial Times Ordinary Shares Index.

Citation

McHale, I., & Laycock, P. (2006). Applications of a General Stable Law Regression Model. Journal of Applied Statistics, 33(10), 1075-1084. https://doi.org/10.1080/02664760600746699

Journal Article Type Article
Publication Date Dec 1, 2006
Deposit Date Aug 21, 2007
Journal Journal of Applied Statistics
Print ISSN 0266-4763
Publisher Routledge
Peer Reviewed Peer Reviewed
Volume 33
Issue 10
Pages 1075-1084
DOI https://doi.org/10.1080/02664760600746699
Keywords Stable distribution; heavy-tails; extreme values; regression



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