References
- Albrecher, H., and M. Bladt. 2019. Inhomogeneous phase-type distributions and heavy tails. Journal of Applied Probability 56 (4):1044–64.
- Albrecher, H., M. Bladt, and M. Bladt. 2020a. Matrix Mittag-Leffler distributions and modeling heavy-tailed risks. Extremes 23 (3):425–50.
- Albrecher, H., M. Bladt, and M. Bladt. 2020b. Multivariate fractional phase-type distributions. Fractional Calculus and Applied Analysis 23 (5):1431–451.
- Albrecher, H., M. Bladt, and M. Bladt. 2021. Multivariate matrix Mittag-Leffler distributions. Annals of the Institute of Statistical Mathematics 73:369–94.
- Albrecher, H., M. Bladt, M. Bladt, and J. Yslas. 2021. Continuous scaled phase-type distributions. Stochastic Models 1–30. doi:10.1080/15326349.2022.2089683.
- Asmussen, S., O. Nerman, and M. Olsson. 1996. Fitting phase-type distributions via the EM algorithm. Scandinavian Journal of Statistics 23 (4):419–41.
- Assaf, D., N. A. Langberg, T. H. Savits, and M. Shaked. 1984. Multivariate phase-type distributions. Operations Research 32 (3):688–702.
- Bladt, M., and B. F. Nielsen. 2017. Matrix-exponential distributions in applied probability. New York: Springer.
- Bladt, M., and J. Yslas. 2022. matrixdist: Statistics for Matrix Distributions. R package version 1.1.5.
- Frees, E. W., and E. A. Valdez. 1998. Understanding relationships using copulas. North American Actuarial Journal 2 (1):1–25.
- Furman, E., Y. Kye, and J. Su. 2021. Multiplicative background risk models: Setting a course for the idiosyncratic risk factors distributed phase-type. Insurance: Mathematics and Economics 96:153–67.
- Goreno, R., A. A. Kilbas, F. Mainardi, and S. V. Rogosin. 2014. Mittag-Leffler functions, related topics and applications. Berlin: Springer.
- Haubold, H. J., A. M. Mathai, and R. K. Saxena. 2011. Mittag-Leffler functions and their applications. Journal of Applied Mathematics 2011:298628.
- Joe, H. 1997. Multivariate models and multivariate dependence concepts. New York: CRC Press.
- Joe, H. 2014. Dependence modeling with copulas. New York: CRC Press.
- Johnson, M. A., and M. R. Taaffe. 1988. The denseness of phase distributions. In School of Industrial Engineering Research Memoranda, 88–20. Purdue University.
- Kulkarni, V. G. 1989. A new class of multivariate phase type distributions. Operations Research 37 (1):151–58.
- Lee, S. C., and X. S. Lin. 2012. Modeling dependent risks with multivariate Erlang mixtures. ASTIN Bulletin 42 (1):153–80.
- Mikosch, T. 2006. Copulas: Tales and facts. Extremes 9 (1):3–20.
- Neuts, M. F. 1975. Probability distributions of phase type. In Liber Amicorum Prof. Emeritus H. Florin, 173–206. Belgium: Department of Mathematics, University of Louvian.
- van Loan, C. 1978. Computing integrals involving the matrix exponential. IEEE Transactions on Automatic Control 23 (3):395–404.
- Willmot, G. E., and J.-K. Woo. 2015. On some properties of a class of multivariate Erlang mixtures with insurance applications. ASTIN Bulletin 45 (1):151–73.
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