D. A. Lidar,* D. Thirumalai, R. Elber, and R. B. Gerber Department of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel Department of Physical Chemistry and The Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel Department of Chemistry and Biochemistry, Institute for Physical Science and Technology, University of Maryland, C...

Galina Chaban,‡ R. Benny Gerber,*,‡ Mikhail V. Korolkov,§,| Jo1rn Manz,| Masha Y. Niv,‡ and Burkhard Schmidt⊥ Fritz-Haber-Center for Molecular Dynamics, Hebrew UniVersity, GiVat Ram, 91904 Jerusalem, Israel, B. I. StepanoV Institute of Physics, Academy of Sciences of Belarus, Skaryna AVe. 70, 220602 Minsk, Republic of Belarus, Institut für Chemie, Freie UniVersität Berlin, Takustrasse 3, D-1419...

Abstract—In this paper, we consider a risk model involving two independent classes of insurance risks and random premium income. We assume that the premium income process is a Poisson Process, and the claim number processes are independent Poisson and generalized Erlang(n) processes, respectively. Both of the GerberShiu functions with zero initial surplus and the probability generating function...

Despite the wealth of metagenomic sequencing data, the functions of most bacterial genes from the mammalian microbiota have remained poorly understood. In their recent study (Yaung et al 2015), Wang, Gerber, and colleagues present a platform which allows functional mining of bacterial genomes for genes that contribute to fitness in vivo and holds great potential for forward engineering microbes...

We introduce an algebraic operator framework to study discounted penalty functions in renewal risk models. For inter-arrival and claim size distributions with rational Laplace transform, the usual integral equation is transformed into a boundary value problem, which is solved by symbolic techniques. The factorization of the differential operator can be lifted to the level of boundary value prob...

Dustin D. Flannery, DO, MSCE; Sigrid Gouma, PhD; Miren B. Dhudasia, MBBS, MPH; Sagori Mukhopadhyay, MD, MMSc; Madeline R. Pfeifer, BS; Emily C. Woodford, BA; Jourdan E. Triebwasser, MA; Jeffrey S. Gerber, Morris, Madison Weirick, Christopher M. McAllister, Marcus J. Bolton, Claudia P. Arevalo, Elizabeth Anderson, Eileen Goodwin, Scott Hensley, Karen Puopolo, PhD

A generalization of the Gerber-Shiu function proposed by Cheung et al. (2009a) is used to derive some ordering properties for certain ruin-related quantities in a Sparre Andersen type risk model. Additional bounds and/or refinements can be obtained by further assuming that the claim size and the interclaim time distributions possess certain reliability properties. Finally, numerical examples ar...

Alan L. Bisno, Michael A. Gerber, Jack M. Gwaltney, Jr., Edward L. Kaplan, and Richard H. Schwartz Department of Medicine, University of Miami School of Medicine and Veterans Affairs Medical Center, Miami, Florida; 2 Cincinnati Children’s Hospital Medical Center and University of Cincinnati School of Medicine, Ohio; University of Virginia School of Medicine, Charlottesville, Inova Fairfax Hospi...

Daniel B. Mark, MD, MPH, FACC, FAHA, Chair*; Daniel S. Berman, MD, FACC†‡; Matthew J. Budoff, MD, FACC, FAHA§; J. Jeffrey Carr, MD, FACC, FAHA ; Thomas C. Gerber, MD, FACC, FAHA¶#; Harvey S. Hecht, MD, FACC§; Mark A. Hlatky, MD, FACC, FAHA; John McB. Hodgson, MD, FSCAI, FACC**; Michael S. Lauer, MD, FACC, FAHA*; Julie M. Miller, MD, FACC*; Richard L. Morin, PhD ; Debabrata Mukherjee, MD, FACC; ...

Wu X, Li S. On the discounted penalty function in a discrete time renewal risk model with general interclaim times. Scandinavian Actuarial Journal. In this paper a discrete time renewal risk model with arbitrary interclaim times is discussed. We show that the expected discounted penalty function satisfies a recursive formula. In particular, the probability generating function of the time of rui...