The Power-Law Process (PLP) is a two-parameter model widely used for modeling repairable system reliability. Results on exact point estimation for both parameters as well as exact interval estimation for the shape parameter are well-known. In this paper, we investigate the interval estimation for the scale parameter. Asymptotic confidence intervals are derived using Fisher information matrix an...

The main aim of this paper is to define what imprecise reliability is, and discuss a variety of problems that can be solved by means of a framework of imprecise probabilities. From this point of view, various branches of reliability analysis are considered, including analysis of monotone systems, repairable systems, multi-state systems, structural reliability, software reliability, human reliab...

Recent research on distributed storage systems (DSSs) has revealed interesting connections between matroid theory and locally repairable codes (LRCs). The goal of this chapter is to introduce the reader to matroids and polymatroids, and illustrate their relation to distribute storage systems. While many of the results are rather technical in nature, effort is made to increase accessibility via ...

For an [n, k, d] (r, δ)-locally repairable codes ((r, δ)-LRCs) , its minimum distance d satisfies the Singleton-like bound. The construction of optimal δ)-LRC, attaining this bound, is important research problem in recent years for thier applications distributed storage systems. In letter, we use Reed-Solomon to construct two classes δ)-LRCs. LRCs are given by evaluations multiple polynomials d...