166,158 research outputs found
Interplay of insurance and financial risks in a discrete-time model with strongly regular variation
Consider an insurance company exposed to a stochastic economic environment
that contains two kinds of risk. The first kind is the insurance risk caused by
traditional insurance claims, and the second kind is the financial risk
resulting from investments. Its wealth process is described in a standard
discrete-time model in which, during each period, the insurance risk is
quantified as a real-valued random variable equal to the total amount of
claims less premiums, and the financial risk as a positive random variable
equal to the reciprocal of the stochastic accumulation factor. This risk model
builds an efficient platform for investigating the interplay of the two kinds
of risk. We focus on the ruin probability and the tail probability of the
aggregate risk amount. Assuming that every convex combination of the
distributions of and is of strongly regular variation, we derive some
precise asymptotic formulas for these probabilities with both finite and
infinite time horizons, all in the form of linear combinations of the tail
probabilities of and . Our treatment is unified in the sense that no
dominating relationship between and is required.Comment: Published at http://dx.doi.org/10.3150/14-BEJ625 in the Bernoulli
(http://isi.cbs.nl/bernoulli/) by the International Statistical
Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm
Strain engineering and photocatalytic application of single-layer ReS
We present a theoretical study on the electronic, dynamical, and
photocatalytic properties of single-layer ReS under uniaxial and shear
strains. The single-layer ReS shows strong anisotropic responses to
straining. It remains dynamically stable for a wide range of -axial strain,
but becomes unstable for 2\% -axial compressive strain. The single-layer
ReS is calculated to be an indirect bandgap semiconductor, and there is an
indirectdirect bandgap transition under 15\% -axial tensile straining.
The single-layer ReS is predicted incapable of catalyzing the water
oxidation reaction. However, 15\% -axial tensile strain can enable the
single-layer ReS for overall photocatalytic water splitting. Besides, the
single-layer ReS can also catalyze the overall water splitting and be most
efficient under acidic water solutions with pH=3.8
Scalability of Hydrodynamic Simulations
Many hydrodynamic processes can be studied in a way that is scalable over a
vastly relevant physical parameter space. We systematically examine this
scalability, which has so far only briefly discussed in astrophysical
literature. We show how the scalability is limited by various constraints
imposed by physical processes and initial conditions. Using supernova remnants
in different environments and evolutionary phases as application examples, we
demonstrate the use of the scaling as a powerful tool to explore the
interdependence among relevant parameters, based on a minimum set of
simulations. In particular, we devise a scaling scheme that can be used to
adaptively generate numerous seed remnants and plant them into 3D hydrodynamic
simulations of the supernova-dominated interstellar medium.Comment: 12 pages, 1 figure, submitted to MNRAS; comments are welcom
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