Published December 3, 2019
| Version Submitted
Discussion Paper
Open
There are no monotone homomorphisms out of the convolution semigroup
Creators
Abstract
We prove that there is no nonzero way of assigning real numbers to probability measures on R in a way which is monotone under first-order stochastic dominance and additive under convolution.
Additional Information
T. Fritz would like to thank Lu Chen for discussion. O. Tamuz was supported by the Simons Foundation (#419427) and by the BSF (#2018397).Attached Files
Submitted - 1912.01733.pdf
Files
1912.01733.pdf
Additional details
Additional titles
- Alternative title
- There is no good way to quantify fat tailed distributions
Identifiers
- Eprint ID
- 100877
- Resolver ID
- CaltechAUTHORS:20200123-105749369
Related works
- Describes
- http://arxiv.org/abs/1912.01733 (URL)
Funding
- Simons Foundation
- 419427
- Binational Science Foundation (USA-Israel)
- 2018397
Dates
- Created
-
2020-01-23Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department