Download the full-sized PDF
Permanent link (DOI): https://doi.org/10.7939/R35J32
This file is in the following communities:
|Mathematical and Statistical Sciences, Department of|
This file is in the following collections:
|Research Publications (Mathematical and Statistical Sciences)|
A Strong Law of Large Numbers for Super-stable Processes. Open Access
- Author or creator
- Additional contributors
strong law of large numbers
- Type of item
- Journal Article (Published)
Let ℓ be Lebesgue measure and X=(Xt,t≥0;Pμ) be a supercritical, super-stable process corresponding to the operator −(−Δ)α/2u+βu−ηu2 on Rd with constants β,η>0 and α∈(0,2]. Put View the MathML source, which for each smallθ is an a.s. convergent complex-valued martingale with limit View the MathML source say. We establish for any starting finite measure μ satisfying View the MathML source that View the MathML source-a.s. in a topology, termed the shallow topology, strictly stronger than the vague topology yet weaker than the weak topology, where cα>0 is a known constant. This result can be thought of as an extension to a class of superprocesses of Watanabe’s strong law of large numbers for branching Markov processes.
- Date created
- License information
- © 2014 Stochastic Processes and their Applications. This version of this article is open access and can be downloaded and shared. The original author(s) and source must be cited.
- Citation for previous publication
M. A. Kouritzin and Y-X. Ren. (2014), " A Strong Law of Large Numbers for Super-stable Processes '', Stochastic Processes and their Applications, 124, pp. 505-521.
- Link to related item
- Date Uploaded
- Date Modified
- Audit Status
- Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 239078
Last modified: 2015:10:12 11:04:44-06:00
Original checksum: 60274d45020e401760a7c2880c7c9865
Well formed: false
Status message: Unexpected error in findFonts java.lang.ClassCastException: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject cannot be cast to edu.harvard.hul.ois.jhove.module.pdf.PdfDictionary offset=5266
Page count: 25