Basic Stochastics for Reliability Analysis

Maxim Finkelstein () and Ji Hwan Cha ()
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Maxim Finkelstein: University of the Free State
Ji Hwan Cha: Ewha Womans University

Chapter Chapter 2 in Stochastic Modeling for Reliability, 2013, pp 9-49 from Springer

Abstract: Abstract In this introductory chapter, we partially follow, revise, and expand the relevant portions of Chaps. 2 and 4 of Finkelstein [25] and also add other material that should be helpful when reading the rest of this book. Therefore, we will often refer to this chapter in the subsequent parts of the text. It covers the notions and some basic properties of the failure rate, the mean residual lifetime, stochastic point processes, minimal and general repair, multivariate accelerated and proportional hazards models and, finally, the simplest stochastic orders.

Keywords: Failure Rate; Point Process; Intensity Process; Severe Environment; Minimal Repair (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4471-5028-2_2

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