Stochastic decomposition for ℓp-norm symmetric survival functions on the positive orthant
| dc.contributor.author | Mai, Jan-Frederik | |
| dc.contributor.author | Wang, Ruodu | |
| dc.date.accessioned | 2021-05-13T13:05:27Z | |
| dc.date.available | 2021-05-13T13:05:27Z | |
| dc.date.issued | 2021-07 | |
| dc.description | The final publication is available at Elsevier via http://dx.doi.org/10.1016/j.jmva.2021.104760. © 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| dc.description.abstract | We derive a stochastic representation for the probability distribution on the positive orthant (0,∞)ᵈ whose association between components is minimal among all probability laws with ℓp-norm symmetric survival functions. It is given by a transformation of a uniform distribution on the standard unit simplex that is multiplied with an independent finite mixture of certain beta distributions and an additional atom at unity. On the one hand, this implies an efficient simulation algorithm for arbitrary probability laws with ℓp-norm symmetric survival function. On the other hand, this result is leveraged to construct an exact simulation algorithm for max-infinitely divisible probability distributions on the positive orthant whose exponent measure has ℓp-norm symmetric survival function. Both applications generalize existing results for the case p = 1 to the case of arbitrary p ≥ 1. | en |
| dc.description.sponsorship | We thank the editor, the associate editor, and the anonymous referee for their valuable remarks on earlier versions of this manuscript. RuoduWang acknowledges financial support from the Natural Sciences and Engineering Research Council of Canada (RGPIN-2018-03823, RGPAS-2018-522590). | en |
| dc.identifier.uri | https://doi.org/10.1016/j.jmva.2021.104760 | |
| dc.identifier.uri | http://hdl.handle.net/10012/16978 | |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartofseries | Journal of Multivariate Analysis;184 | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Archimedean copula | en |
| dc.subject | max-infinitely divisible | en |
| dc.subject | d-monotone function | en |
| dc.subject | simulation algorithm | en |
| dc.title | Stochastic decomposition for ℓp-norm symmetric survival functions on the positive orthant | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Mai, J.-F., & Wang, R. (2021). Stochastic decomposition for ℓp-norm symmetric survival functions on the positive orthant. Journal of Multivariate Analysis, 184, 104760. https://doi.org/10.1016/j.jmva.2021.104760 | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Statistics and Actuarial Science | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |