Geometric inequalities for simplices which are the simplest and the most useful polytopes have been a very attractive subject for a long time. Mitrinovic, Pecaric, Volenec [9], Ali [1], Gerber [4], Petty, Waterman [11] and other authors [7,8] have obtained a great number of elegant results. Specially, the quantity relations involving two simplices have been studied extensively. The well-known N...

We study the asymptotic behavior of the Gerber–Shiu expected discounted penalty function in the renewal risk model. Under the assumption that the claim-size distribution has a convolution-equivalent density function, which allows both heavy-tailed and light-tailed cases, we establish some asymptotic formulas for the Gerber–Shiu function with a fairly general penalty function. These formulas bec...

Gerber and Shiu (1997) have studied the joint density of the time of ruin, the surplus immediately before ruin, and the deficit at ruin in the classical model of collective risk theory. More recently, their results have been generalised for risk models where the interarrival density for claims is nonexponential, but belongs to the Erlang family. Here we obtain generalisations of the Gerber–Shiu...

The key-leakage-storage capacity regions for a hidden identifier’s noisy measurements at two terminals of a secrecy system are derived. The capacity regions of binary sources with multiple measurements are obtained by applying Mrs. Gerber’s lemma twice in different directions to a Markov chain to show gains in privacy-leakage as compared to assuming a noise-free identifier at the encoder.

The Satisfactory Partition problem asks for deciding if a given graph has a partition of its vertex set into two nonempty parts such that each vertex has at least as many neighbors in its part as in the other part. This problem was introduced by Gerber and Kobler [EJOR, 125 (2000), 283–291] and studied further by other authors. In this paper we first review some applications and related problem...

The defective renewal equation satisfied by the Gerber-Shiu discounted penalty function in the renewal risk model with arbitrary interclaim times is analyzed. The ladder height distribution is shown to be a mixture of residual lifetime claim severity distributions, which results in an invariance property satisfied by a large class of claim amount models. In particular, when claims are exponenti...

radio frequency identification (rfid) is used to identify the characteristics of an object wirelessly using radio waves. the purpose of this technology in this study is mainly focused on healthcare for inventory management and theft control replacing the manual logs. the storage and tracking of high-cost inventory items is developed. automatic reordering and billing interfaces are designed for ...

Stefan Weber, Brett Bell, Nicolas Gerber, Tom Williamson ARTORG Center University of Bern Bern, Switzerland Peter Brett, Xinli Du Brunel Institute for Bioengineering Brunel University London, UK Marco Caversaccio Department of ENT, Head and Neck Surgery Bern University Hospital Bern, Switzerland David Proops, Chris Coulson, Andrew Reid Department of Otolaryngology Queen Elizabeth Hospital Birmi...

In this issue of Blood,Gerber et al use aldehyde dehydrogenase (ALDH) activity to further subdivide the CD34(+)CD38(-) compartment in the bone marrow of acute myeloid leukemia (AML) patients. They identify a unique population with intermediate ALDH activity (ALDH(int)) that contains leukemia stem cells (LSCs). Moreover, persistence of this population after therapy is a marker of clinically sign...