This is a collection of Technical Reports and Papers written for the field of Operations Research and Information Engineering.

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  • From infinite urn schemes to self-similar stable processes 

    Durieu, Olivier; Samorodnitsky, Gennady; Wang, Yizao (2017)
    We investigate the randomized Karlin model with parameter beta in (0,1), which is based on an infinite urn scheme. It has been shown before that when the randomization is bounded, the so-called odd-occupancy process scales ...
  • Extreme value analysis without the largest values: what can be done? 

    Zou, Jingjing; Davis, Richard; Samorodnitsky, Gennady (2017)
    In this paper we are concerned with the analysis of heavy-tailed data when a portion of the extreme values are unavailable. This research was motivated by an analysis of the degree distributions in a large social network. ...
  • Extremal theory for long range dependent infinitely divisible processes 

    Samorodnitskty, Gennady; Wang, Yizao (2017-03)
    We prove limit theorems of an entirely new type for certain long memory regularly varying stationary \id\ random processes. These theorems involve multiple phase transitions governed by how long the memory is. Apart ...
  • Distance covariance for stochastic processes 

    Matsui, Muneya; Mikosch, Thomas; Samorodnitsky, Gennady (2016-12-13)
    The distance covariance of two random vectors is a measure of their dependence. The empirical distance covariance and correlation can be used as statistical tools for testing whether two random vectors are independent. We ...
  • Closed-form Ruin Probabilities in Classical Risk Models with Gamma Claims 

    Constantinescu, Corina; Samorodnitsky, Gennady; Zhu, Wei (2016-12-12)
    In this paper we provide three equivalent expressions for ruin probabilities in a Cram\'er-Lundberg model with gamma distributed claims. The results are solutions of integro-differential equations, derived by means of ...

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