Abstract
In the spirit of a refresher, we begin with an overview of the measure–theoretic framework for probability.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
With the exception of properties for “complements” and “continuity from above,” these and the aforementioned consequences can be checked to hold for any measure.
- 2.
Throughout, this square-bracket notation will be used to denote events defined by inverse images.
- 3.
For an application see Bhattacharya, R.N., Kim, H., Majumdar, M.K. (2015): Sustainability in the Stochastic Ramsey Model, J. Quant. Econ. 13, 169–184.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing AG
About this chapter
Cite this chapter
Bhattacharya, R., Waymire, E.C. (2016). Random Maps, Distribution, and Mathematical Expectation. In: A Basic Course in Probability Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-47974-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-47974-3_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-47972-9
Online ISBN: 978-3-319-47974-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)