Robustness of the shrinkage estimator for the relative potency in the combination of multivariate bioassays

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dc.contributor.author Chen, Ding-Geng (Din)
dc.date.accessioned 2016-10-12T08:43:01Z
dc.date.issued 2016-09
dc.description.abstract This paper investigates the robustness of the shrinkage Bayesian estimator for the relative potency parameter in the combinations of multivariate bioassays proposed in Chen et al.(1999), which incorporated prior information on the model parame- ters based on Je reys' rules. This investigation is carried out for the families of t-distribution and Cauchy-distribution based on the characteristics of bioassay the- ory since the t-distribution approaches the normal distribution which is the most commonly used distribution in the applications of bioassay as the degrees of freedom increases and the t-distribution approaches the Cauchy-distribution as the degrees of freedom approaches 1 which is also an important distribution in bioassay. A real data is used to illustrate the application of this investigation. This analysis further supports the application of the shrinkage Bayesian estimator to the theory of bioassay along with the empirical Bayesian estimator. en_ZA
dc.description.department Statistics en_ZA
dc.description.embargo 2017-09-30
dc.description.librarian hb2016 en_ZA
dc.description.uri http://www.tandfonline.com/loi/lsta20 en_ZA
dc.identifier.citation Ding-Geng (Din) Chen (2016) Robustness of the shrinkage estimator for the relative potency in the combination of multivariate bioassays, Communications in Statistics - Theory and Methods, 45:18, 5380-5391, DOI: 10.1080/03610926.2013.815205. en_ZA
dc.identifier.issn 0361-0926 (print)
dc.identifier.issn 1532-415X (online)
dc.identifier.other 10.1080/03610926.2013.815205
dc.identifier.uri http://hdl.handle.net/2263/57113
dc.language.iso en en_ZA
dc.publisher Taylor and Francis en_ZA
dc.rights © Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Statistics Theory and Methods, vol. 45, no. 18, pp. 5380-5391, 2016. doi : 10.1080/03610926.2013.815205. Communications in Statistics Theory and Methods is available online at : http://www.tandfonline.com/loi/lsta20. en_ZA
dc.subject Bayesian analysis en_ZA
dc.subject Noninformative prior en_ZA
dc.subject Posterior likelihood function en_ZA
dc.subject Posterior mode en_ZA
dc.subject Relative potency en_ZA
dc.title Robustness of the shrinkage estimator for the relative potency in the combination of multivariate bioassays en_ZA
dc.type Postprint Article en_ZA


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