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The utility of the classical Karhunen‐Loève expansion of a second order process is limited to its practical derivation, because it depends upon the solution of a Fredholm integral equation associated with it whose kernel is the covariance function of the process. So, in this paper we study two...
This paper defines repairable failure‐delay systems, and gives explicit formulae for their availability. It presents models for single‐component, series and parallel systems with delay at system level, and a ‘rare event’ approximation for availability and reliability of series systems with delay...
The peeling of a d‐dimensional set of points is usually performed with successive calls to a convex hull algorithm; the optimal worst‐case convex hull algorithm, known to have an O(n˙ Log (n)) execution time, may give an O(n˙n˙ Log (n)) to peel all the set; an O(n˙n) convex hull algorithm, m...
As shown in a companion‐paper,1 binary and multinary coherent systems can be studied with unified arguments, through monotone binary coherent systems. These are binary coherent systems submitted to some monotone constraint and generalize the classic theory of free binary coherent systems. By...
This short paper takes up the problem stated by Gaul and Schader1 in 1988 of simultaneous clustering and aggregation of relations—in this case precedences (preferences)—so that aggregate preferences could represent relatively homogeneous groups of preference relations. The paper indicates the...
An approach to assessing the fit of a parametric non‐stationary Poisson process model to data is presented. The approach uses kernel estimation in conjunction with a parametric bootstrap. An example is given.
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