Year-end Sale % OFF 
Abstract
The sub-linear expectation space is a nonlinear expectation space having advantages of modeling the uncertainty of probability and distribution. In the sub-linear expectation space, we use capacity and sub-linear expectation to replace probability and expectation of classical probability theory. In this paper, the method of selecting subsequence is used to prove Marcinkiewicz’s strong law of large numbers under sub-linear expectation space. This result is a natural extension of the classical Marcinkiewicz’s strong law of large numbers to the case where the expectation is nonlinear. In addition, this paper also gives a theorem about convergence of a random series.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
