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Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance
- G. Samorodnitsky, M. Taqqu
- Mathematics
- 1 June 1995
Stable random variables on the real line Multivariate stable distributions Stable stochastic integrals Dependence structures of multivariate stable distributions Non-linear regression Complex stable…
Subexponentiality of the product of independent random variables
- D. B. Cline, G. Samorodnitsky
- Mathematics
- 1994
Long Range Dependence
- G. Samorodnitsky
- MathematicsFound. Trends Stoch. Syst.
- 31 December 2007
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Extreme Value Theory as a Risk Management Tool
- P. Embrechts, S. Resnick, G. Samorodnitsky
- Business, Economics
- 1 April 1999
The financial industry, including banking and insurance, is undergoing major changes. The (re)insurance industry is increasingly exposed to catastrophic losses for which the requested cover is only…
The supremum of a negative drift random walk with dependent heavy-tailed steps
- T. Mikosch, G. Samorodnitsky
- Mathematics
- 1 August 2000
Many important probabilistic models in queuing theory, insurance and finance deal with partial sums of a negative mean stationary process (a negative drift random walk), and the law of the supremum…
Extreme value theory, ergodic theory and the boundary between short memory and long memory for stationary stable processes
- G. Samorodnitsky
- Mathematics
- 1 April 2004
We study the partial maxima of stationary α-stable processes. We relate their asymptotic behavior to the ergodic theoretical properties of the flow. We observe a sharp change in the asymptotic…
Functional large deviations for multivariate regularly varying random walks
- H. Hult, F. Lindskog, T. Mikosch, G. Samorodnitsky
- Mathematics
- 1 November 2005
We extend classical results by A. V. Nagaev [Izv Akad. Nauk UzSSR Ser Fiz.-Mat. Nauk 6 (1969) 17-22, Theory Probab. Appl. 14 (1969) 51-64, 193-208] on large deviations for sums of i.i.d. regularly…
Tail probabilities for infinite series of regularly varying random vectors
- H. Hult, G. Samorodnitsky
- Mathematics
- 5 February 2007
A random vector X with representation X = Sigma(j >= 0)A(j)Z(j) is considered. Here, (Z(j)) is a sequence of independent and identically distributed random vectors and (A(j)) is a sequence of random…
Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
- David Heath, S. Resnick, G. Samorodnitsky
- Computer ScienceMath. Oper. Res.
- 1998
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