Characterization of tails through hazard rate and convolution closure properties

We use the properties of the Matuszewska indices to show asymptotic inequalities for hazard rates. We discuss the relation between membership in the classes of dominatedly or extended rapidly varying tail distributions and corresponding hazard rate conditions. Convolution closure is established for the class of distributions with extended rapidly varying tails.Comment: 8 page

Modeling and equalization of nonlinear bandlimited satellite channels

The problem of modeling and equalization of a nonlinear satellite channel is considered. The channel is assumed to be bandlimited and exhibits both amplitude and phase nonlinearities. A discrete time satellite link is modeled under both uplink and downlink white Gaussian noise. Under conditions of practical interest, a simple and computationally efficient design technique for the minimum mean square error linear equalizer is presented. The bit error probability and some numerical results for a binary phase shift keyed (BPSK) system demonstrate that the proposed equalization technique outperforms standard linear receiver structures

Detector corrected cross-sections in topologies sensitive to dark matter production with the ATLAS experiment

An analysis of events with large missing transverse momentum in association with jets is presented using 139.0 fb−1 of proton-proton collisions at a centre of mass energy of 13 TeV, delivered by the Large Hadron Collider and recorded by the ATLAS detector. The dominant Standard Model process contributing to this signature is the invisible decay of the Z boson as well as the leptonic decay of the W boson where the charged lepton is outside the detector acceptance. The similarities between these processes and the leptonic decays of the Z and W bosons are exploited in dedicated 1-lepton and 2-lepton regions where the in-acceptance leptons are treated as though they were invisible in order to constrain the modelling and minimise the experimental and theoretical uncertainties. The analysis is performed in three jet phase-spaces that are sensitive to different mechanisms of dark matter production; the ≥ 1 jet, ≥ 2 jet and VBF phase-spaces. Fiducial cross-sections are presented single and double differentially as a function of missing transverse momentum and other jet kinematics, in events with zero leptons, one lepton and two leptons and in each of the jet phase-spaces. Ratios of cross-sections are also presented to facilitate comparisons between the regions. The data is corrected for detector effects via the iterative bayesian unfolding technique, making the measurements readily available for comparison to new physics models without the need of a detector simulation

Common foreign and security policy and energy policy

The article is the first to explore the EU’s CFSP and Energy policy nexus. In doing so, it examines the externalisation and securitisation of the EU’s internal energy market. The main argument advanced is that EU energy security policy development has become an important variable in ensuring EU wider foreign policy objectives. However, rather than addressing the CFSP liaisons with EU energy policy solely from the perspective of foreign policy objectives, the chapter also explores the securitisation of energy policy from the perspective of the internal market. It therefore argues that there is a very strong link between securitisation and competitiveness. As such, it explores the EU’s capacity to externalise its internal market policies both inside and outside the contours of CFSP by providing an overview of the existing CFSP framework and insight on the extraterritorial application and force of EU competition law to achieve CFSP objectives

The probabilities of absolute ruin in the renewal risk model with constant force of interest

In this paper we consider the probabilities of finite- And infinite-time absolute ruins in the renewal risk model with constant premium rate and constant force of interest. In the particular case of the compound Poisson model, explicit asymptotic expressions for the finite- and infinite-time absolute ruin probabilities are given. For the general renewal risk model, we present an asymptotic expression for the infinite-time absolute ruin probability. Conditional distributions of Poisson processes and probabilistic techniques regarding randomly weighted sums are employed in the course of this study. © Applied Probability Trust 2010.postprin

A two-fluid actuarial model with an alternating payoff policy

A two-fluid actuarial model with an alternating payoff polic

A note on product-convolution for generalized subexponential distributions

In this paper, we consider the stability property of the class of generalized subexponential distributions with respect to product-convolution. Assuming that the primary distribution is in the class of generalized subexponential distributions, we find conditions for the second distribution in order that their product-convolution belongs to the class of generalized subexponential distributions as well. The similar problem for the class of generalized subexponential positively decreasing-tailed distributions is considered

Continuing Professional Development: the role of a regulatory board in promoting lifelong learning

Continuing Professional Development: the role of a regulatory board in promoting lifelong learnin

Continuing Professional Development: the role of a regulatory board in promoting lifelong learning

Continuing Professional Development: the role of a regulatory board in promoting lifelong learnin