Li, Jinzhu Asymptotic results on tail moment and tail central moment for dependent risks. (English) Zbl 07806760 Adv. Appl. Probab. 55, No. 4, 1116-1143 (2023). MSC: 62P05 62H20 60E05 PDFBibTeX XMLCite \textit{J. Li}, Adv. Appl. Probab. 55, No. 4, 1116--1143 (2023; Zbl 07806760) Full Text: DOI
Blier-Wong, Christopher; Cossette, Hélène; Marceau, Etienne Risk aggregation with FGM copulas. (English) Zbl 1520.91312 Insur. Math. Econ. 111, 102-120 (2023). MSC: 91G05 60E15 62H05 PDFBibTeX XMLCite \textit{C. Blier-Wong} et al., Insur. Math. Econ. 111, 102--120 (2023; Zbl 1520.91312) Full Text: DOI arXiv
Hu, Xiang; Zhang, Lianzeng Multivariate distributions with time and cross-dependence: aggregation and capital allocation. (English) Zbl 1492.91297 ASTIN Bull. 52, No. 2, 669-706 (2022). MSC: 91G05 62P05 62H10 PDFBibTeX XMLCite \textit{X. Hu} and \textit{L. Zhang}, ASTIN Bull. 52, No. 2, 669--706 (2022; Zbl 1492.91297) Full Text: DOI
Li, Jinzhu Asymptotic results on marginal expected shortfalls for dependent risks. (English) Zbl 1484.91393 Insur. Math. Econ. 102, 146-168 (2022). MSC: 91G05 91G70 PDFBibTeX XMLCite \textit{J. Li}, Insur. Math. Econ. 102, 146--168 (2022; Zbl 1484.91393) Full Text: DOI
Kang, Yao; Wang, Dehui; Cheng, Jianhua Risk models based on copulas for premiums and claim sizes. (English) Zbl 07533665 Commun. Stat., Theory Methods 50, No. 10, 2250-2269 (2021). MSC: 60J65 62P05 62-XX PDFBibTeX XMLCite \textit{Y. Kang} et al., Commun. Stat., Theory Methods 50, No. 10, 2250--2269 (2021; Zbl 07533665) Full Text: DOI
Ji, Liuyan; Tan, Ken Seng; Yang, Fan Tail dependence and heavy tailedness in extreme risks. (English) Zbl 1467.91142 Insur. Math. Econ. 99, 282-293 (2021). MSC: 91G05 62P05 62H05 62G32 PDFBibTeX XMLCite \textit{L. Ji} et al., Insur. Math. Econ. 99, 282--293 (2021; Zbl 1467.91142) Full Text: DOI Link
Cossette, Hélène; Marceau, Etienne; Trufin, Julien; Zuyderhoff, Pierre Ruin-based risk measures in discrete-time risk models. (English) Zbl 1447.91132 Insur. Math. Econ. 93, 246-261 (2020). MSC: 91G05 PDFBibTeX XMLCite \textit{H. Cossette} et al., Insur. Math. Econ. 93, 246--261 (2020; Zbl 1447.91132) Full Text: DOI Link
Cheung, Ka Chun; Phillip Yam, Sheung Chi; Yuen, Fei Lung; Zhang, Yiying Concave distortion risk minimizing reinsurance design under adverse selection. (English) Zbl 1435.91142 Insur. Math. Econ. 91, 155-165 (2020). MSC: 91G05 91B43 PDFBibTeX XMLCite \textit{K. C. Cheung} et al., Insur. Math. Econ. 91, 155--165 (2020; Zbl 1435.91142) Full Text: DOI
Das, Bikramjit; Fasen-Hartmann, Vicky Conditional excess risk measures and multivariate regular variation. (English) Zbl 1434.60085 Stat. Risk. Model. 36, No. 1-4, 1-23 (2019). MSC: 60F10 60G50 60G70 PDFBibTeX XMLCite \textit{B. Das} and \textit{V. Fasen-Hartmann}, Stat. Risk. Model. 36, No. 1--4, 1--23 (2019; Zbl 1434.60085) Full Text: DOI
Cossette, Hélène; Marceau, Etienne; Mtalai, Itre Collective risk models with dependence. (English) Zbl 1410.91261 Insur. Math. Econ. 87, 153-168 (2019). MSC: 91B30 62P05 62H05 PDFBibTeX XMLCite \textit{H. Cossette} et al., Insur. Math. Econ. 87, 153--168 (2019; Zbl 1410.91261) Full Text: DOI
Nadarajah, Saralees; Chu, Jeffrey; Jiang, Xiao Aggregation and capital allocation formulas for bivariate distributions. (English) Zbl 1508.91620 Probab. Eng. Inf. Sci. 32, No. 4, 556-566 (2018). MSC: 91G70 PDFBibTeX XMLCite \textit{S. Nadarajah} et al., Probab. Eng. Inf. Sci. 32, No. 4, 556--566 (2018; Zbl 1508.91620) Full Text: DOI
Usseglio-Carleve, Antoine Estimation of conditional extreme risk measures from heavy-tailed elliptical random vectors. (English) Zbl 1409.62218 Electron. J. Stat. 12, No. 2, 4057-4093 (2018). MSC: 62P05 62H12 60E05 62G32 62G08 91G70 PDFBibTeX XMLCite \textit{A. Usseglio-Carleve}, Electron. J. Stat. 12, No. 2, 4057--4093 (2018; Zbl 1409.62218) Full Text: DOI arXiv Euclid
Gijbels, Irène; Herrmann, Klaus Optimal expected-shortfall portfolio selection with copula-induced dependence. (English) Zbl 1418.91469 Appl. Math. Finance 25, No. 1, 66-106 (2018). MSC: 91G10 62P05 62H05 PDFBibTeX XMLCite \textit{I. Gijbels} and \textit{K. Herrmann}, Appl. Math. Finance 25, No. 1, 66--106 (2018; Zbl 1418.91469) Full Text: DOI
Lin, Feng; Xie, Si-yuan; Yang, Jing-ping Semi-analytical formula for pricing bilateral counterparty risk of CDS with correlated credit risks. (English) Zbl 1390.91314 Acta Math. Appl. Sin., Engl. Ser. 34, No. 2, 209-236 (2018). MSC: 91G40 65C05 PDFBibTeX XMLCite \textit{F. Lin} et al., Acta Math. Appl. Sin., Engl. Ser. 34, No. 2, 209--236 (2018; Zbl 1390.91314) Full Text: DOI
Vernic, Raluca On the evaluation of some multivariate compound distributions with Sarmanov’s counting distribution. (English) Zbl 1401.62216 Insur. Math. Econ. 79, 184-193 (2018). MSC: 62P05 62H05 91B30 PDFBibTeX XMLCite \textit{R. Vernic}, Insur. Math. Econ. 79, 184--193 (2018; Zbl 1401.62216) Full Text: DOI
Cossette, Hélène; Marceau, Etienne; Mtalai, Itre; Veilleux, Déry Dependent risk models with Archimedean copulas: a computational strategy based on common mixtures and applications. (English) Zbl 1398.62289 Insur. Math. Econ. 78, 53-71 (2018). MSC: 62P05 91B30 62H05 PDFBibTeX XMLCite \textit{H. Cossette} et al., Insur. Math. Econ. 78, 53--71 (2018; Zbl 1398.62289) Full Text: DOI
Ren, Jiandong; Zitikis, Ričardas CMPH: a multivariate phase-type aggregate loss distribution. (English) Zbl 1393.91101 Depend. Model. 5, 304-315 (2017). MSC: 91B30 62H05 62P05 PDFBibTeX XMLCite \textit{J. Ren} and \textit{R. Zitikis}, Depend. Model. 5, 304--315 (2017; Zbl 1393.91101) Full Text: DOI
Maume-Deschamps, Véronique; Rullière, Didier; Said, Khalil Impact of dependence on some multivariate risk indicators. (English) Zbl 1369.62139 Methodol. Comput. Appl. Probab. 19, No. 2, 395-427 (2017). MSC: 62H30 62P05 91B30 PDFBibTeX XMLCite \textit{V. Maume-Deschamps} et al., Methodol. Comput. Appl. Probab. 19, No. 2, 395--427 (2017; Zbl 1369.62139) Full Text: DOI arXiv
Vernic, Raluca Capital allocation for Sarmanov’s class of distributions. (English) Zbl 1358.60034 Methodol. Comput. Appl. Probab. 19, No. 1, 311-330 (2017). MSC: 60E05 62P05 91B30 PDFBibTeX XMLCite \textit{R. Vernic}, Methodol. Comput. Appl. Probab. 19, No. 1, 311--330 (2017; Zbl 1358.60034) Full Text: DOI
Côté, Marie-Pier; Genest, Christian; Abdallah, Anas Rank-based methods for modeling dependence between loss triangles. (English) Zbl 1394.91205 Eur. Actuar. J. 6, No. 2, 377-408 (2016). MSC: 91B30 62H05 62P05 PDFBibTeX XMLCite \textit{M.-P. Côté} et al., Eur. Actuar. J. 6, No. 2, 377--408 (2016; Zbl 1394.91205) Full Text: DOI
Vernic, Raluca On the distribution of a sum of Sarmanov distributed random variables. (English) Zbl 1336.60024 J. Theor. Probab. 29, No. 1, 118-142 (2016). MSC: 60E05 62E15 60-08 91B30 PDFBibTeX XMLCite \textit{R. Vernic}, J. Theor. Probab. 29, No. 1, 118--142 (2016; Zbl 1336.60024) Full Text: DOI
Willmot, Gordon E.; Woo, Jae-Kyung On some properties of a class of multivariate Erlang mixtures with insurance applications. (English) Zbl 1390.62092 ASTIN Bull. 45, No. 1, 151-173 (2015). MSC: 62H05 62E15 62P05 91B30 PDFBibTeX XMLCite \textit{G. E. Willmot} and \textit{J.-K. Woo}, ASTIN Bull. 45, No. 1, 151--173 (2015; Zbl 1390.62092) Full Text: DOI Link
Cossette, Hélène; Marceau, Etienne; Perreault, Samuel On two families of bivariate distributions with exponential marginals: aggregation and capital allocation. (English) Zbl 1348.91137 Insur. Math. Econ. 64, 214-224 (2015). MSC: 91B30 60E05 62H05 62P05 PDFBibTeX XMLCite \textit{H. Cossette} et al., Insur. Math. Econ. 64, 214--224 (2015; Zbl 1348.91137) Full Text: DOI
Hürlimann, Werner On some properties of two vector-valued VaR and CTE multivariate risk measures for Archimedean copulas. (English) Zbl 1431.91442 ASTIN Bull. 44, No. 3, 613-633 (2014). MSC: 91G70 62H05 62P05 PDFBibTeX XMLCite \textit{W. Hürlimann}, ASTIN Bull. 44, No. 3, 613--633 (2014; Zbl 1431.91442) Full Text: DOI Link
Wang, Min Capital allocation based on the tail covariance premium adjusted. (English) Zbl 1304.91135 Insur. Math. Econ. 57, 125-131 (2014). MSC: 91B30 91G50 PDFBibTeX XMLCite \textit{M. Wang}, Insur. Math. Econ. 57, 125--131 (2014; Zbl 1304.91135) Full Text: DOI
Cousin, Areski; Di Bernardino, Elena On multivariate extensions of conditional-tail-expectation. (English) Zbl 1296.91149 Insur. Math. Econ. 55, 272-282 (2014). MSC: 91B30 62H20 60E15 PDFBibTeX XMLCite \textit{A. Cousin} and \textit{E. Di Bernardino}, Insur. Math. Econ. 55, 272--282 (2014; Zbl 1296.91149) Full Text: DOI HAL
Loisel, Stéphane; Trufin, Julien Properties of a risk measure derived from the expected area in red. (English) Zbl 1296.91163 Insur. Math. Econ. 55, 191-199 (2014). MSC: 91B30 60K10 60E15 PDFBibTeX XMLCite \textit{S. Loisel} and \textit{J. Trufin}, Insur. Math. Econ. 55, 191--199 (2014; Zbl 1296.91163) Full Text: DOI
Cossette, Hélène; Côté, Marie-Pier; Mailhot, Mélina; Marceau, Etienne A note on the computation of sharp numerical bounds for the distribution of the sum, product or ratio of dependent risks. (English) Zbl 1292.62077 J. Multivariate Anal. 130, 1-20 (2014). MSC: 62H10 62P05 91B30 PDFBibTeX XMLCite \textit{H. Cossette} et al., J. Multivariate Anal. 130, 1--20 (2014; Zbl 1292.62077) Full Text: DOI
Zhang, Zhimin On a perturbed Sparre Andersen risk model with threshold dividend strategy and dependence. (English) Zbl 1291.91136 J. Comput. Appl. Math. 255, 248-269 (2014). MSC: 91B30 60J65 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Comput. Appl. Math. 255, 248--269 (2014; Zbl 1291.91136) Full Text: DOI
Di Bernardino, Elena; Prieur, Clémentine Estimation of multivariate conditional-tail-expectation using Kendall’s process. (English) Zbl 1359.62183 J. Nonparametric Stat. 26, No. 2, 241-267 (2014). MSC: 62H12 62E17 62G05 62G20 PDFBibTeX XMLCite \textit{E. Di Bernardino} and \textit{C. Prieur}, J. Nonparametric Stat. 26, No. 2, 241--267 (2014; Zbl 1359.62183) Full Text: DOI
Pelican, Elena; Vernic, Raluca Maximum-likelihood estimation for the multivariate Sarmanov distribution: simulation study. (English) Zbl 1291.62080 Int. J. Comput. Math. 90, No. 9, 1958-1970 (2013). MSC: 62G05 62H12 65C10 PDFBibTeX XMLCite \textit{E. Pelican} and \textit{R. Vernic}, Int. J. Comput. Math. 90, No. 9, 1958--1970 (2013; Zbl 1291.62080) Full Text: DOI
Guillén, Montserrat; Sarabia, José María; Prieto, Faustino Simple risk measure calculations for sums of positive random variables. (English) Zbl 1284.60029 Insur. Math. Econ. 53, No. 1, 273-280 (2013). MSC: 60E05 91B30 62P05 PDFBibTeX XMLCite \textit{M. Guillén} et al., Insur. Math. Econ. 53, No. 1, 273--280 (2013; Zbl 1284.60029) Full Text: DOI
Cossette, Hélène; Côté, Marie-Pier; Marceau, Etienne; Moutanabbir, Khouzeima Multivariate distribution defined with Farlie-Gumbel-Morgenstern copula and mixed Erlang marginals: aggregation and capital allocation. (English) Zbl 1284.60027 Insur. Math. Econ. 52, No. 3, 560-572 (2013). MSC: 60E05 62H05 62E15 91B30 91G10 PDFBibTeX XMLCite \textit{H. Cossette} et al., Insur. Math. Econ. 52, No. 3, 560--572 (2013; Zbl 1284.60027) Full Text: DOI
Gijbels, Irène; Sznajder, Dominik Testing tail monotonicity by constrained copula estimation. (English) Zbl 1284.62313 Insur. Math. Econ. 52, No. 2, 338-351 (2013). MSC: 62H05 62G10 62H20 PDFBibTeX XMLCite \textit{I. Gijbels} and \textit{D. Sznajder}, Insur. Math. Econ. 52, No. 2, 338--351 (2013; Zbl 1284.62313) Full Text: DOI
Cossette, Hélène; Landriault, David; Marceau, Etienne; Moutanabbir, Khouzeima Analysis of the discounted sum of ascending ladder heights. (English) Zbl 1284.91220 Insur. Math. Econ. 51, No. 2, 393-401 (2012). MSC: 91B30 60K10 PDFBibTeX XMLCite \textit{H. Cossette} et al., Insur. Math. Econ. 51, No. 2, 393--401 (2012; Zbl 1284.91220) Full Text: DOI
Willmot, Gordon E.; Woo, Jae-Kyung On the analysis of a general class of dependent risk processes. (English) Zbl 1284.91277 Insur. Math. Econ. 51, No. 1, 134-141 (2012). MSC: 91B30 60K10 62H20 PDFBibTeX XMLCite \textit{G. E. Willmot} and \textit{J.-K. Woo}, Insur. Math. Econ. 51, No. 1, 134--141 (2012; Zbl 1284.91277) Full Text: DOI
Cossette, Hélène; Mailhot, Mélina; Marceau, Étienne TVaR-based capital allocation for multivariate compound distributions with positive continuous claim amounts. (English) Zbl 1235.91086 Insur. Math. Econ. 50, No. 2, 247-256 (2012). MSC: 91B30 62P05 91G10 91G40 PDFBibTeX XMLCite \textit{H. Cossette} et al., Insur. Math. Econ. 50, No. 2, 247--256 (2012; Zbl 1235.91086) Full Text: DOI