Fundamentals of probability theory

Chao Hu, Byeng D. Youn, Pingfeng Wang

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish (US)
Title of host publicationSpringer Series in Reliability Engineering
PublisherSpringer
Pages11-51
Number of pages41
DOIs
StatePublished - 2019

Publication series

NameSpringer Series in Reliability Engineering
Volume0
ISSN (Print)1614-7839
ISSN (Electronic)2196-999X

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality

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