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Suppose now ind( A ) even. In general, we proceed as in [35, proof of Prop. For the reader’s convenience, let.. Let G be an algebraic group and let M be a cycle module of
Here we essentially employ the classical result from the theory of groups, stating that every divisible commutative group can be represented as a direct sum of a family of groups
The Radon Nikodym Theorem plays a key role in our proof of the Fundamen- tal Theorem of Calculus, particularly the proof given by Bradley [4], so we will outline this proof but
Furthermore, for the classical compound Poisson model we consider some asymptotic formulae, as initial surplus tends to infinity, for the severity of ruin, which allow us to
A simple proof of the asymptotic formula for the ruin probability of a risk process with a positive constant interest force [derived earlier by Asmussen (Asmussen, S., 1998.. All
By arguments of De Vylder and Goovaerts (1999, Section 6) the validity of results in the classical model can often be extended to any homogeneous model.. By the discussion at the end
The main new element of our results is a high order exponential asymptotic expansion which extends in a unified way both the classical Cramér–Lundberg approximation and the
Theorem 7.2 The tautological ring of CP2#CP2is isomorphic to a polynomial ring generated byp2 1 and p3 1: R.CP2#CP2/ŠQŒp2 1; p3 1: Proof As in the proof of Theorem 6.2, if a
