Titlebook: Geometric Sums: Bounds for Rare Events with Applications; Risk Analysis, Relia Vladimir Kalashnikov Book 1997 Springer Science+Business Med

miracle

修剪過(guò)的樹(shù)籬

nullify

不能強(qiáng)迫我

GROWL

Gullible

公理

GULF

Carla B. Rynkowski,Marcel J. Aries viewed as failures. But all the constructions remain valid for any regenerative model and can be used in storage, queueing, etc. The problem lays in the fact that both probability . and d.f. . are not defined . but should be calculated from existing input data. With this in mind, the contents of the chapter are designed to solve this problem.

CLAIM

Miscellaneous Probability Topics,e of this, readers may skip this chapter and return to it when necessary. For the purposes of this book, it is quite sufficient to assume that the r.v.’s under consideration take their values in a .. We assume this throughout the book without additional commentaries. Moreover, typically we restrict ourselves with real or vector-valued r.v.’s.

冒號(hào)

,Generalized Rényi Theorem, will be solved in the following chapter. Applications to the heavy traffic regime in queueing and to rare excursions of general Markov chains are considered; they provide practice and help to illuminate the concepts and methods. Applications to insurance and reliability will be discussed in Chapters 6 and 7 correspondingly.