Abstract
In many situations, we have more than a single random variable to consider. In particular, we may have new observations at different points in time, each of which is random. Our goal in this section is to build a mathematical understanding of these ‘stochastic processes’, that is, of collections of random variables, the values of which become revealed through time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
G. Di Nunno, Y.A. Rozanov, On measurable modification of stochastic functions. Theory Probab. Appl. 46(1), 122–127 (2002)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer Science+Business Media New York
About this chapter
Cite this chapter
Cohen, S.N., Elliott, R.J. (2015). Filtrations, Stopping Times and Stochastic Processes. In: Stochastic Calculus and Applications. Probability and Its Applications. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-2867-5_3
Download citation
DOI: https://doi.org/10.1007/978-1-4939-2867-5_3
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4939-2866-8
Online ISBN: 978-1-4939-2867-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)