@inbook{479f6df1014a442a8344c09b5ed650a1,

title = "Fundamentals of probability theory",

abstract = "Probability theory is a mathematical discipline that investigates possible outcomes of repeated experiments and a long-run relative frequency of these outcomes. The word “probability” generally refers to the chance of a specific event occurring, taking values between zero (impossible) and one (certain). Probability theory enables the analysis of reliability, i.e. the probability that a system performance meets its marginal value (or requirement) under uncertainty at the very beginning of operation (time-independent reliability) or during its lifetime (time-dependent reliability). In this chapter, we briefly summarize fundamental probability theory with the aim of providing a sufficient background in probability to enable understanding and use of techniques and methods found in later chapters.",

author = "Chao Hu and Youn, {Byeng D.} and Pingfeng Wang",

note = "Publisher Copyright: {\textcopyright} 2019, Springer International Publishing AG, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2019",

doi = "10.1007/978-3-319-92574-5_2",

language = "English (US)",

series = "Springer Series in Reliability Engineering",

publisher = "Springer",

pages = "11--51",

booktitle = "Springer Series in Reliability Engineering",

address = "Germany",

}