We are excited to announce that the repository will soon undergo an upgrade, featuring a new look and feel along with several enhanced features to improve your experience. Please be on the lookout for further updates and announcements regarding the launch date. We appreciate your support and look forward to unveiling the improved platform soon.
dc.contributor.author | Kleyn, Judy![]() |
|
dc.contributor.author | Arashi, Mohammad![]() |
|
dc.contributor.author | Bekker, Andriette, 1958-![]() |
|
dc.contributor.author | Millard, Sollie M.![]() |
|
dc.date.accessioned | 2016-11-17T07:54:00Z | |
dc.date.issued | 2017-01 | |
dc.description.abstract | In this article, we consider the multiple regression model in the presence of multicollinearity and study the performance of the preliminary test estimator (PTE) both analytically and computationally, when it is a priori suspected that some constraints may hold on the vector parameter space. The performance of the PTE is further analyzed by comparing the risk of some well-known estimators of the ridge parameter through an extensive Monte Carlo simulation study under some bounded and or asymmetric loss functions. An application of the Cobb–Douglas production function is included and from these results as well as the simulation studies, it is clear that the bounded linear exponential loss function outperforms the other loss functions across all the proposed ridge parameters by comparing the risk values. | en_ZA |
dc.description.department | Statistics | en_ZA |
dc.description.embargo | 2018-01-31 | |
dc.description.librarian | hb2016 | en_ZA |
dc.description.sponsorship | This work is based on the research supported in part by the National Research Foundation of South Africa for the grant TTK1206151317. | en_ZA |
dc.description.uri | http://www.tandfonline.com/loi/lssp20 | en_ZA |
dc.identifier.citation | J. Kleyn, M. Arashi, A. Bekker & S. Millard (2017) Preliminary testing of the Cobb–Douglas production function and related inferential issues, Communications in Statistics - Simulation and Computation, 46:1, 469-488, DOI: 10.1080/03610918.2014.968724. | en_ZA |
dc.identifier.issn | 0361-0918 (print) | |
dc.identifier.issn | 1532-4141 (online) | |
dc.identifier.other | 10.1080/03610918.2014.968724 | |
dc.identifier.uri | http://hdl.handle.net/2263/58115 | |
dc.language.iso | en | en_ZA |
dc.publisher | Routledge | en_ZA |
dc.rights | © 2017 Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Statistics - Simulation and Computation, vol. 46, no. 1, pp. 469-488, 2017. doi : 10.1080/03610918.2014.968724. Communications in Statistics - Simulation and Computation is available online at : http://www.tandfonline.com/loi/lssp20. | en_ZA |
dc.subject | BLINEX loss | en_ZA |
dc.subject | Cobb–Douglas production function | en_ZA |
dc.subject | LINEX loss | en_ZA |
dc.subject | Multicollinearity | en_ZA |
dc.subject | Preliminary test estimator | en_ZA |
dc.subject | Ridge regression | en_ZA |
dc.title | Preliminary testing of the Cobb–Douglas production function and related inferential issues | en_ZA |
dc.type | Postprint Article | en_ZA |