- Abstract:
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In [2] foundations for diffusion approximation via Stein’s method are laid. This paper has been cited more than 130 times and is a cornerstone in the area of Stein’s method (see, for example, its use in [1] or [7]). A semigroup argument is used in [2] to solve a Stein equation for Gaussian diffusion approximation. We prove that, contrary to the claim in [2], the semigroup considered therein is not strongly continuous on the Banach space of continuous, real-valued functions on D[0, 1] growing ...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
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(pdf, 220.6kb)
-
- Publisher copy:
- 10.1214/17-ECP54
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- Publisher:
- Institute of Mathematical Statistics Publisher's website
- Journal:
- Electronic Communications in Probability Journal website
- Volume:
- 22
- Issue:
- 2017
- Pages:
- 1-8
- Publication date:
- 2017-04-15
- Acceptance date:
- 2017-04-04
- DOI:
- ISSN:
-
1083-589X
- Pubs id:
-
pubs:691093
- URN:
-
uri:fcb34917-7c44-43bc-9579-48f666a322c7
- UUID:
-
uuid:fcb34917-7c44-43bc-9579-48f666a322c7
- Local pid:
- pubs:691093
- Copyright date:
- 2017
- Notes:
- This is an open access article published under a creative commons license, see: https://creativecommons.org/licenses/by/4.0/
Journal article
Note on A. Barbour’s paper on Stein’s method for diffusion approximations
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