1 |
J. Li, Q. Tang, and R. Wu, Subexponential tails of discounted aggregate claims in a time-dependent renewal risk model, Adv. in Appl. Probab. 42 (2010), no. 4, 1126-1146.
DOI
|
2 |
J. Li and R. Wu, Asymptotic ruin probabilities of the renewal model with constant interest force and dependent heavy-tailed claims, Acta Math. Appl. Sin. Engl. Ser. 27 (2011), no. 2, 329-338.
DOI
|
3 |
X. Liu, Q. Gao, and Y. Wang, A note on a dependent risk model with constant interest rate, Statist. Probab. Lett. 82 (2012), no. 4, 707-712.
DOI
|
4 |
K. W. Ng, Q. Tang, and H. Yang, Maxima of sums of heavy-tailed random variables, Astin Bull. 32 (2002), no. 1, 43-55.
DOI
|
5 |
Q. Tang and G. Tsitsiashvili, Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks, Stochastic Process. Appl. 108 (2003), no. 2, 299-325.
DOI
|
6 |
Q. Tang and G. Tsitsiashvili, Randomly weighted sums of subexponential random variables with application to ruin theory, Extremes 6 (2003), no. 3, 171-188.
DOI
|
7 |
Q. Tang and Z. Yuan, Randomly weighted sums of subexponential random variables with application to capital allocation, Extremes 17 (2014), no. 3, 467-493.
DOI
|
8 |
K. Wang, Randomly weighted sums of dependent subexponential random variables, Lith. Math. J. 51 (2011), no. 4, 573-586.
DOI
|
9 |
K. Wang, Y. Wang, and Q. Gao, Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate, Methodol. Comput. Appl. Probab. 15 (2013), no. 1, 109-124.
DOI
|
10 |
T. Watanabe and K. Yamamuro, Ratio of the tail of an infinitely divisible distribution on the line to that of its Levy measure, Electron. J. Probab. 15 (2010), no. 2, 44-74.
|
11 |
H. Xu, S. Foss, and Y. Wang, Convolution and convolution-root properties of long-tailed distributions, Extremes 18 (2015), no. 4, 605-628.
DOI
|
12 |
S. Foss, D. Korshunov, and S. Zachary, Convolutions of long-tailed and subexponential distributions, J. Appl. Probab. 46 (2009), no. 3, 756-767.
DOI
|
13 |
Y. Yang, R. Leipus, and J. Siaulys, Tail probability of randomly weighted sums of subexponential random variables under a dependence structure, Statist. Probab. Lett. 82 (2012), no. 9, 1727-1736.
DOI
|
14 |
Y. Yang, R. Leipus, and J. Siaulys, Closure property and maximum of randomly weighted sums with heavy tailed increments, Statist. Probab. Lett. 91 (2014), 162-170.
DOI
|
15 |
C. Zhang, Uniform asymptotics for the tail probability of weighted sums with heavy tails, Statist. Probab. Lett. 94 (2014), 221-229.
DOI
|
16 |
C. Zhu and Q. Gao, The uniform approximation of the tail probability of the randomly weighted sums of subexponential random variables, Statist. Probab. Lett. 78 (2008), no. 15, 2552-2558.
DOI
|
17 |
A. V. Asimit and A. L. Badescu, Extremes on the discounted aggregate claims in a time dependent risk model, Scand. Actuar. J. 2010 (2010), no. 2, 93-104.
DOI
|
18 |
J. Cai and Q. Tang, On max-sum equivalence and convolution closure of heavy-tailed distributions and their applications, J. Appl. Probab. 41 (2004), no. 1, 117-130.
DOI
|
19 |
Y. Chen and K. C. Yuen, Sums of pairwise quasi-asymptotically independent random variables with consistent variation, Stoch. Models 25 (2009), no. 1, 76-89.
DOI
|
20 |
P. Embrechts and C. M. Goldie, On closure and factorization properties of subexponential and related distributions, J. Austral. Math. Soc. Ser. A 29 (1980), no. 2, 243-256.
DOI
|
21 |
Q. Gao and Y. Wang, Randomly weighted sums with dominated varying-tailed increments and application to risk theory, J. Korean Statist. Soc. 39 (2010), no. 3, 305-314.
DOI
|
22 |
J. Geluk and K. W. Ng, Tail behavior of negatively associated heavy-tailed sums, J. Appl. Probab. 43 (2006), no. 2, 587-593.
DOI
|
23 |
J. R. Leslie, On the non-closure under convolution of the subexponential family, J. Appl. Probab. 26 (1989), no. 1, 58-66.
DOI
|
24 |
J. Geluk and Q. Tang, Asymptotic tail probabilities of sums of dependent subexponential random variables, J. Theoret. Probab. 22 (2009), no. 4, 871-882.
DOI
|
25 |
T. Jiang, Y. Wang, Y. Chen, and H. Xu, Uniform asymptotic estimate for finite-time ruin probabilities of a time-dependent bidimensional renewal model, Insurance Math. Econom. 64 (2015), 45-53.
DOI
|
26 |
F. Kong and G. Zong, The finite-time ruin probability for ND claims with constant interest force, Statist. Probab. Lett. 78 (2008), no. 17, 3103-3109.
DOI
|
27 |
J. Li, On pairwise quasi-asymptotically independent random variables and their applications, Statist. Probab. Lett. 83 (2013), no. 9, 2081-2087.
DOI
|
28 |
Y. Chen, K. W. Ng, and K. C. Yuen, The maximum of randomly weighted sums with long tails in insurance and finance, Stoch. Anal. Appl. 29 (2011), no. 6, 1033-1044.
DOI
|