Abstract
The ‘expectation’ of an ℝ-valued random variable is a weighted average of the values taken by that random variable. It is a useful tool for the description and analysis of random variables and their distributions. Properties of expectations treated in this chapter include linearity and an important convergence theorem. The calculation of expectations is facilitated by establishing a connection with Riemann-Stieltjes integration.
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© 1997 Springer Science+Business Media New York
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Fristedt, B., Gray, L. (1997). Expectations: Theory. In: A Modern Approach to Probability Theory. Probability and its Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-2837-5_4
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DOI: https://doi.org/10.1007/978-1-4899-2837-5_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4899-2839-9
Online ISBN: 978-1-4899-2837-5
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