Arendarczyk, M. and Dębicki, K. (2011). Asymptotics of supremum distribution of a Gaussian process over a Weibullian time. Bernoulli
Asmussen, S. (2000). Ruin Probabilities. World Scientific, River Edge, NJ.
Bingham, N. H., Goldie, C. M. and Teugels, J. L. (1987). Regular Variation. Cambridge University Press.
Chen, Y. (2011). The finite-time ruin probability with dependent insurance and financial risks. J. Appl. Prob.
Chistyakov, V. P. (1964). A theorem on sums of independent positive random variables and its applications to branching random processes. Theory Prob. Appl.
Cline, D. B. H. and Samorodnitsky, G. (1994). Subexponentiality of the product of independent random variables. Stoch. Process. Appl.
Embrechts, P. and Goldie, C. M. (1980). On closure and factorization properties of subexponential and related distributions. J. Austral. Math. Soc. Ser. A
Embrechts, P., Klüppelberg, C. and Mikosch, T. (1997). Modelling Extremal Events: For Insurance and Finance. Springer, Berlin.
Feller, W. (1971). An Introduction to Probability Theory and Its Applications, Vol. II. John Wiley, New York.
Foss, S., Korshunov, D. and Zachary, S. (2013). An Introduction to Heavy-Tailed and Subexponential Distributions, 2nd edn. Springer, New York.
Goovaerts, M. J.
et al. (2005). The tail probability of discounted sums of Pareto-like losses in insurance. Scand. Actuarial J.
Huang, W., Weng, C. and Zhang, Y. (2014). Multivariate risk models under heavy-tailed risks. Appl. Stoch. Models Business Industry
Leslie, J. R. (1989). On the nonclosure under convolution of the subexponential family. J. Appl. Prob.
Li, J. and Tang, Q. (2015). Interplay of insurance and financial risks in a discrete-time model with strongly regular variation. Bernoulli
Lin, J. and Wang, Y. (2012). New examples of heavy-tailed O-subexponential distributions and related closure properties. Statist. Prob. Lett.
Liu, Y. and Tang, Q. (2010). The subexponential product convolution of two Weibull-type distributions. J. Austral. Math. Soc.
Murphree, E. S. (1989). Some new results on the subexponential class. J. Appl. Prob.
Nyrhinen, H. (1999). On the ruin probabilities in a general economic environment. Stoch. Process. Appl.
Nyrhinen, H. (2001). Finite and infinite time ruin probabilities in a stochastic economic environment. Stoch. Process. Appl.
Pitman, E. J. G. (1980). Subexponential distribution functions. J. Austral. Math. Soc. Ser. A
Resnick, S. I. (1987). Extreme Values, Regular Variation, and Point Processes. Springer, New York.
Samorodnitsky, G. and Sun, J. (2016). Multivariate subexponential distributions and their applications. Extremes
Tang, Q. (2006). The subexponentiality of products revisited. Extremes
Tang, Q. (2008). From light tails to heavy tails through multiplier. Extremes
Tang, Q. and Tsitsiashvili, G. (2003). Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks. Stoch. Process. Appl.
Tang, Q. and Tsitsiashvili, G. (2004). Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments. Adv. Appl. Prob.
Wang, Y., Xu, H., Cheng, D. and Yu, C. (2016). The local asymptotic estimation for the supremum of a random walk with generalized strong subexponential summands. Statist. Papers
Xu, H., Foss, S. and Wang, Y. (2015). Convolution and convolution-root properties of long-tailed distributions. Extremes
Xu, H., Scheutzow, M., Wang, Y. and Cui, Z. (2016). On the structure of a class of distributions obeying the principle of a single big jump. Prob. Math. Statist.
Yang, Y. and Wang, Y. (2013). Tail behavior of the product of two dependent random variables with applications to risk theory. Extremes
Zhang, Y., Shen, X. and Weng, C. (2009). Approximation of the tail probability of randomly weighted sums and applications. Stoch. Process. Appl.