- Asmussen, S.
(1987).
-
Applied Probability and Queues,
John Wiley and Sons, New York.
-
Asmussen, S.
(1999).
-
On the ruin problems for some adapted
premium rules,
MaPhySto Research Report No. 5. University of Aarhus,
Denmark.
-
Burnecki, K. and Michna, Z.
(2002).
-
Simulation of Pickands constants,
Probability and Mathematical Statistics 22: 193-199.
-
Debicki, K., Michna, Z. and Rolski, T.
(1998).
-
On the supremum
from Gaussian processes over infinite horizon,
Probability and Mathematical Statistics 18: 83-100.
-
Debicki, K., Michna, Z. and Rolski T.
(2003).
-
Simulation of the asymptotic constant in some fluid models,
Stochastic Models 19: 407-423.
-
Embrechts, P. and Maejima, M.
(2002).
-
Selfsimilar Processes,
Princeton University Press, Princeton and Oxford.
- Gerber, H. U.
(1981).
-
On the probability of ruin in an
autoregressive model,
Mitteilung der Vereinigung Schweiz.
Versicherungsmathematiker 2: 213-219.
- Gerber, H. U.
(1982).
-
Ruin theory in a linear model,
Insurance: Mathematics and Economics 1: 177-184.
-
Heath, D., Resnick, S. and Samorodnitsky, G.
(1998).
-
Heavy tails and long range dependence in on/off processes and associated
fluid models,
Mathematics and Operations Research 23: 145-165.
-
Hüsler, J. and Piterbarg, V.
(1999).
-
Extremes of certain class of Gaussian processes,
Stochastic Processes and their Applications 83: 338-357.
-
Embrechts, P. and Maejima, M.
(1987).
-
Limit Theorems for Stochastic Processes,
Springer, Berlin Heidelberg.
-
Lamperti, J.
(1962).
-
Semi-stable stochastic processes,
Transection of the American Mathematical Society. 104: 62-78.
-
Mandelbrot, B. B. and Van Ness, J. W.
(1968).
-
Fractional Brownian motions, fractional noises and applications,
SIAM Review 10: 422-437.
-
Michna, Z.
(1998).
-
Self-similar processes in collective
risk theory,
Journal of Applied Mathematics and Stochastic Analysis 11: 429-448.
-
Müller, A. and Pflug, G.
(2001).
-
Asymptotic ruin probabilities
for risk processes with dependent increments,
Insurance: Mathematics and Economics 28: 381-392.
-
Norros, I.
(1994).
-
A storage model with self-similar input,
Queueing Systems 16: 387-396.
-
Norros, I., Valkeila, E. and Virtamo, J.
(1999).
-
A Girsanov type theorem for the fractional Brownian motion,
Bernoulli 5: 571-587.
-
Nyrhinen, H.
(1998).
-
Rough description of ruin for general
class of surplus process,
Adv. Appl. Probab. 30: 107-119.
-
Nyrhinen, H.
(1999a).
-
On the ruin probabilities in a general
economic environment,
Stoch. Proc. Appl. 83: 319-330.
-
Nyrhinen, H.
(1999b).
-
Large deviations for the time of ruin,
J. Appl. Probab. 36: 733-746.
-
Piterbarg, V. I.
(1996).
-
Asymptotic methods in the theory of Gaussian processes and fields,
Translations of Mathematical Monographs 148, AMS, Providence.
-
Promislow, S. D.
(1991).
-
The probability of ruin in a
process with dependent increments,
Insurance: Mathematics and Economics 10: 99-107.