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References

  • Arendarczyk, Marek; Dȩbicki, Krzysztof. Asymptotics of supremum distribution of a Gaussian process over a Weibullian time. Bernoulli 17 (2011), no. 1, 194--210. MR2797988
  • Bovier, A.: Extreme values of random processes. Lecture Notes Technische Universität Berlin, 2005.
  • Dobrić, Vladimir; Marcus, Michael B.; Weber, Michel. The distribution of large values of the supremum of a Gaussian process. Colloque Paul Lévy sur les Processus Stochastiques (Palaiseau, 1987). Astérisque No. 157-158 (1988), 95--127. MR0976215
  • Embrechts, Paul; Klüppelberg, Claudia; Mikosch, Thomas. Modelling extremal events. For insurance and finance. Applications of Mathematics (New York), 33. Springer-Verlag, Berlin, 1997. xvi+645 pp. ISBN: 3-540-60931-8 MR1458613
  • Hashorva, E., and Ji., L.: Asymptotics of the finite-time ruin probability for the Sparre Andersen risk model perturbed by inflated chi-process. (2012) Preprint.
  • Hashorva, Enkelejd; Pakes, Anthony G.; Tang, Qihe. Asymptotics of random contractions. Insurance Math. Econom. 47 (2010), no. 3, 405--414. MR2759158
  • Hoeffding, W.: On a theorem of V.N. Zolotarev. Theory of Probab. Appl. IX 1, (1964), 89--91. (English translation) MR0171337
  • Ivanoff, B. Gail; Weber, N. C. Tail probabilities for weighted sums of products of normal random variables. Bull. Austral. Math. Soc. 58 (1998), no. 2, 239--244. MR1642043
  • Kallenberg, Olav. Some new representations in bivariate exchangeability. Probab. Theory Related Fields 77 (1988), no. 3, 415--455. MR0931507
  • Lifshits, M. A. Tail probabilities of Gaussian suprema and Laplace transform. Ann. Inst. H. Poincaré Probab. Statist. 30 (1994), no. 2, 163--179. MR1276995
  • Lifshits, M. A. Gaussian random functions. Mathematics and its Applications, 322. Kluwer Academic Publishers, Dordrecht, 1995. xii+333 pp. ISBN: 0-7923-3385-3 MR1472736
  • Lifshits, M.A. Lectures on Gaussian Processes. Springer Briefs in Mathematics, Springer, 2012.
  • Liu, Yan; Tang, Qihe. The subexponential product convolution of two Weibull-type distributions. J. Aust. Math. Soc. 89 (2010), no. 2, 277--288. MR2769141
  • Pakes, Anthony G. Convolution equivalence and infinite divisibility. J. Appl. Probab. 41 (2004), no. 2, 407--424. MR2052581
  • Resnick, Sidney I. Extreme values, regular variation and point processes. Reprint of the 1987 original. Springer Series in Operations Research and Financial Engineering. Springer, New York, 2008. xiv+320 pp. ISBN: 978-0-387-75952-4 MR2364939
  • Zolotarev, V.M.: Concerning a certain probability problem. Theory of Probab. Appl. IX1, (1961), 201--204. (English translation) MR0150800


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