Two important Quality-of-Service (QoS) measures for current cellular networks are the fractions of new and handoff “calls” that are blocked due to unavailability of “channels” (radio and/or computing resources). Based on these QoS measures, we derive optimal admission control policies for three problems: minimizing a linear objective function of the new and handoff call blocking probabilities (...

We propose an information-theoretical measure, the \textit{relative cluster entropy} $\mathcal{D_{C}}[P \| Q] $, to discriminate among partitions characterised by probability distribution functions $P$ and $Q$. The measure is illustrated with clusters generated pairs of fractional Brownian motions Hurst exponents $H_1$ $H_2$ respectively. For subdiffusive, normal superdiffusive sequences, relat...

Applying an upper bound estimate for small L2 ball probability for fractional Brownian motion (fBm), we prove the non-degeneracy of Sobolev pseudo-norms of fBm.

Sufficient conditions for a real-valued Gaussian random field X = {X(t), t ∈ RN} with stationary increments to be strongly locally nondeterministic are proven. As applications, small ball probability estimates, Hausdorff measure of the sample paths, sharp Hölder conditions and tail probability estimates for the local times of Gaussian random fields are established. Running head: Strong Local No...

It is widely believed that one should not become more confident that all swans are white and all lions are brave simply by observing white swans. Irrelevant conjunction or “tacking” of a theory onto another is often thought problematic for Bayesianism, especially given the ratio measure of confirmation considered here. It is recalled that the irrelevant conjunct is not confirmed at all. Using t...

The recently developed theory of wavelets is used to estimate small ball probability for a class of Gaussian processes including d-dimensional fractional Brownian motion.

In this article we incorporate notions of the fairness of sanctions into the standard model of public enforcement. When both the probability and magnitude of sanctions may be varied, the usual solution involves a very high sanction and a relatively low probability of enforcement if individuals are risk neutral. When the issue of fairness is added to the analysis, the optimal sanction generally ...

This paper considers Stackelberg solutions for decision making problems in hierarchical organizations under fuzzy random environments. Taking into account vagueness of judgments of decision makers, fuzzy goals are introduced into the formulated fuzzy random two-level linear programming problems. On the basis of the possibility and necessity measures that each objective function fulfills the cor...