Parameter Estimation for Stable Distributions with Application to Commodity Futures Log-Returns
dc.contributor.author | Kateregga, Michael | |
dc.contributor.author | Mataramvura, Sure | |
dc.contributor.author | Taylor, David | |
dc.date.accessioned | 2017-09-13T07:13:03Z | |
dc.date.available | 2017-05-02 | |
dc.date.available | 2017-09-13T07:13:03Z | |
dc.date.issued | 2017-05-02 | |
dc.description.abstract | This paper explores the theory behind the rich and robust family of α-stable distributions to estimate parameters from financial asset log-returns data. We discuss four-parameter estimation methods including the quantiles, logarithmic moments method, maximum likelihood (ML), and the empirical characteristics function (ECF) method. The contribution of the paper is two-fold: first, we discuss the above parametric approaches and investigate their performance through error analysis. Moreover, we argue that the ECF performs better than the ML over a wide range of shape parameter values, α including values closest to 0 and 2 and that the ECF has a better convergence rate than the ML. Secondly, we compare the t location-scale distribution to the general stable distribution and show that the former fails to capture skewness which might exist in the data. This is observed through applying the ECF to commodity futures log-returns data to obtain the skewness parameter. | en_ZA |
dc.identifier.apacitation | Kateregga, M., Mataramvura, S., & Taylor, D. (2017). Parameter Estimation for Stable Distributions with Application to Commodity Futures Log-Returns. <i>Cogent Economics and Finance</i>, http://hdl.handle.net/11427/25147 | en_ZA |
dc.identifier.chicagocitation | Kateregga, Michael, Sure Mataramvura, and David Taylor "Parameter Estimation for Stable Distributions with Application to Commodity Futures Log-Returns." <i>Cogent Economics and Finance</i> (2017) http://hdl.handle.net/11427/25147 | en_ZA |
dc.identifier.citation | Kateregga, M., Mataramvura, S., Taylor, D. 2017-05-02. Parameter Estimation for Stable Distributions with Application to Commodity Futures Log-Returns. Cogent Economics and Finance. | en_ZA |
dc.identifier.issn | 2332-2039 | en_ZA |
dc.identifier.ris | TY - Journal Article AU - Kateregga, Michael AU - Mataramvura, Sure AU - Taylor, David AB - This paper explores the theory behind the rich and robust family of α-stable distributions to estimate parameters from financial asset log-returns data. We discuss four-parameter estimation methods including the quantiles, logarithmic moments method, maximum likelihood (ML), and the empirical characteristics function (ECF) method. The contribution of the paper is two-fold: first, we discuss the above parametric approaches and investigate their performance through error analysis. Moreover, we argue that the ECF performs better than the ML over a wide range of shape parameter values, α including values closest to 0 and 2 and that the ECF has a better convergence rate than the ML. Secondly, we compare the t location-scale distribution to the general stable distribution and show that the former fails to capture skewness which might exist in the data. This is observed through applying the ECF to commodity futures log-returns data to obtain the skewness parameter. DA - 2017-05-02 DB - OpenUCT DP - University of Cape Town J1 - Cogent Economics and Finance LK - https://open.uct.ac.za PB - University of Cape Town PY - 2017 SM - 2332-2039 T1 - Parameter Estimation for Stable Distributions with Application to Commodity Futures Log-Returns TI - Parameter Estimation for Stable Distributions with Application to Commodity Futures Log-Returns UR - http://hdl.handle.net/11427/25147 ER - | en_ZA |
dc.identifier.uri | http://hdl.handle.net/11427/25147 | |
dc.identifier.vancouvercitation | Kateregga M, Mataramvura S, Taylor D. Parameter Estimation for Stable Distributions with Application to Commodity Futures Log-Returns. Cogent Economics and Finance. 2017; http://hdl.handle.net/11427/25147. | en_ZA |
dc.language | eng | en_ZA |
dc.publisher | Taylor and Francis | en_ZA |
dc.publisher.department | Department of Finance and Tax | en_ZA |
dc.publisher.faculty | Faculty of Commerce | en_ZA |
dc.publisher.institution | University of Cape Town | |
dc.rights | Creative Commons Attribution 4.0 International (CC BY 4.0) | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en_ZA |
dc.source | Cogent Economics and Finance | en_ZA |
dc.source.uri | http://www.tandfonline.com/toc/oaef20/current | |
dc.title | Parameter Estimation for Stable Distributions with Application to Commodity Futures Log-Returns | en_ZA |
dc.type | Journal Article | en_ZA |
uct.type.filetype | Text | |
uct.type.filetype | Image | |
uct.type.publication | Research | en_ZA |
uct.type.resource | Article | en_ZA |
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