EJP Reading Tools

Exponential Approximation for the Nearly Critical Galton-Watson Process and Occupation Times of Markov Chains

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Exponential Approximation for the Nearly Critical Galton-Watson Process and Occupation Times of Markov Chains
2.	Creator	Author's name, affiliation, country	Erol A. Peköz; Boston University; United States
2.	Creator	Author's name, affiliation, country	Adrian Röllin; National University of Singapore; Singapore
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Exponential distribution; Stein's method; nearly critical Galton-Watson branching process; occupation times of Markov chains; ErdH{o}s-Taylor theorem
3.	Subject	Subject classification	Primary 60F05; Secondary 60J80, 60J10
4.	Description	Abstract	In this article we provide new applications for exponential approximation using the framework of Peköz and Röllin (2011), which is based on Stein's method. We give error bounds for the nearly critical Galton-Watson process conditioned on non-extinction, and for the occupation times of Markov chains; for the latter, in particular, we give a new exponential approximation rate for the number of revisits to the origin for general two dimensional random walk, also known as the Erdös-Taylor theorem.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	NUS research grant R-155-000-098-133
7.	Date	(YYYY-MM-DD)	2011-08-10
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/914
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-914
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
15.	Rights	Copyright and permissions	The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free to copy, distribute, display, and perform the work to make derivative works to make commercial use of the work under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.