Recently Swatee Naik and Theodore Stanford proved that two Sequivalent knots are related by a finite sequence of doubled-delta moves on their knot diagrams. We show that classical S-equivalence is not sufficient to extend their result to ordered links. We define a new algebraic relation on Seifert matrices, called Strong S-equivalence, and prove that two oriented, ordered links L and L are rela...

Adaptive optimal design with a cost constraint is considered, both for nonlinear regression and Bernoulli type experiments, with application in clinical trials. The strong consistency and asymptotic normality of the estimators is proved for designs over a finite space, both when the cost level is fixed, and the adaptive design converges to an optimum constrained design, and when the objective i...

This paper presents a strong security scheme for network-attached storage (NAS) that is based on capability and uses a key distribution scheme to keep network-attached storage from performing key management. Our system uses strong cryptography to protect data from spoofing, tampering, eavesdropping and replay attacks, and it also guarantees that the data stored on the storage is copy-resistant....

Optimal design under a cost constraint is considered, with a scalar coefficient setting the compromise between information (i.e., precision of the estimation of the model parameters) and cost. For suitable cost functions, by increasing the value of the coefficient one can force the support points of an optimal design measure to concentrate around points of minimum cost. When the experiment is c...

We introduce a semi-parametric estimator of the Poisson intensity parameter of a spatial stationary Gibbs point process. Under very mild assumptions satisfied by a large class of Gibbs models, we establish its strong consistency and asymptotic normality. We also consider its finite-sample properties in a simulation study.

In Computerized Adaptive Testing (CAT), items are selected in real time and are adjusted to the test-taker’s ability. While CAT has become popular for many measurement tasks, such as educational testing and patient reported outcomes, it has been criticized for not allowing examinees to review and revise their answers. In this work, we propose a novel CAT design that preserves the efficiency of ...

The play-the-winner (PW) rule is an important method in clinical trials where patients can be assigned to one of the two treatments. In the PW rule, the probability of the next patient to be assigned to a particular treatment only depends on the response of the current patient. In this paper, we consider a general kind of PW rule for multi-treatment adaptive designs, in which the probability th...

• A common measure of tail dependence is the so-called tail-dependence coefficient. We present a nonparametric estimator of the tail-dependence coefficient and prove its strong consistency and asymptotic normality in the case of known marginal distribution functions. The finite-sample behavior as well as robustness will be assessed through simulation. Although it has a good performance, it is s...

This article discusses the problem of estimation of parameters in finite mixtures when the mixture components are assumed to be symmetric and to come from the same location family. We refer to these mixtures as semi-parametric because no additional assumptions other than symmetry are made regarding the parametric form of the component distributions. Because the class of symmetric distributions ...

We discuss some of the basic ideas of Galois theory for commutative S-algebras originally formulated by John Rognes. We restrict attention to the case of finite Galois groups and to global Galois extensions. We describe parts of the general framework developed by Rognes. Central rôles are played by the notion of strong duality and a trace mapping constructed by Greenlees and May in the context ...