The finding that Pareto distributions are adequate to model Internet packet interarrival times has motivated the proposal of methods to compute steady-state performance measures of Pareto/M/·/· queues. In this work we give an overview of some of these methods and compare them with an approach we have recently proposed, which combines embedding, uniformization and stochastic ordering techniques ...

Using a decomposition of the characteristic function of the logarithm of the product of independent generalized gamma-ratio random variables (r.v.’s), we obtain explicit expressions for both the probability density and cumulative distribution functions of the product of independent r.v.’s with generalized F or generalized gamma-ratio distributions in the form of particular mixtures of generaliz...

In this paper, evolutionary dynamic weighted aggregation methods are generalized to deal with three-objective optimization problems. Simulation results from two test problems show that the performance is quite satisfying. To take a closer look at the characteristics of the Pareto-optimal solutions in the parameter space, piecewise linear models are used to approximate the definition function in...

In this paper we introduce general prenormal and normal structures in Banach spaces that cover conventional concepts of normals to arbitrary closed sets under minimal requirements. Based on these structures, we establish new abstract versions of the extremal principle in variational analysis, which plays a fundamental role in many applications. The main applications of this paper concern necess...

The progressive censoring scheme is a method of data collecting in reliability and life testing which has been of intensified interest in recent years. In the present paper, we prove some characterization results on generalized Pareto distribution based upon the independency and expected values of some functions of progressive type-II right censored order statistics.

Dual-functional radar-communication (DFRC) has been envisioned as a key enabler for number of emerging applications. Nevertheless, the intrinsic difference between communication and sensing functionalities imposed challenges in fully realizing promise technology. In this paper, we propose Pareto optimization framework multi-antenna DFRC system, where single transmitter with multiple antennas co...

In this paper, we present simple explicit expressions for single and product moments of generalized order statistics from Pareto distribution. These relations are deduced the record values tabulated mean variance Further, conditional expectation, recurrence as well truncated moment used to characterize