Title

Probability models

Publication Name

Springer Series in Reliability Engineering

Abstract

This chapter provides a brief introduction to some important probability models. It starts from the basic concept of probability space and random variables, cumulative distribution function, probability density function/probability mass function, moment generating function and characteristic function, followed by selected frequently-used distribution types with illustration of their applications in practical engineering. The joint probabilistic behaviour of different random variables is also discussed, including the use of copula function to construct the joint distribution functions of dependent random variables.

Open Access Status

This publication is not available as open access

First Page

9

Last Page

104

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Link to publisher version (DOI)

http://dx.doi.org/10.1007/978-3-030-62505-4_2