Complete convergence theorem for a competition model
Publication
, Journal Article
Durrett, R; Møller, AM
Published in: Probability Theory and Related Fields
March 1, 1991
In this paper we consider a hierarchical competition model. Durrett and Swindle have given sufficient conditions for the existence of a nontrivial stationary distribution. Here we show that under a slightly stronger condition, the complete convergence theorem holds and hence there is a unique nontrivial stationary distribution. © 1991 Springer-Verlag.
Duke Scholars
Published In
Probability Theory and Related Fields
DOI
EISSN
1432-2064
ISSN
0178-8051
Publication Date
March 1, 1991
Volume
88
Issue
1
Start / End Page
121 / 136
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4904 Pure mathematics
- 0104 Statistics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Durrett, R., & Møller, A. M. (1991). Complete convergence theorem for a competition model. Probability Theory and Related Fields, 88(1), 121–136. https://doi.org/10.1007/BF01193585
Durrett, R., and A. M. Møller. “Complete convergence theorem for a competition model.” Probability Theory and Related Fields 88, no. 1 (March 1, 1991): 121–36. https://doi.org/10.1007/BF01193585.
Durrett R, Møller AM. Complete convergence theorem for a competition model. Probability Theory and Related Fields. 1991 Mar 1;88(1):121–36.
Durrett, R., and A. M. Møller. “Complete convergence theorem for a competition model.” Probability Theory and Related Fields, vol. 88, no. 1, Mar. 1991, pp. 121–36. Scopus, doi:10.1007/BF01193585.
Durrett R, Møller AM. Complete convergence theorem for a competition model. Probability Theory and Related Fields. 1991 Mar 1;88(1):121–136.
Published In
Probability Theory and Related Fields
DOI
EISSN
1432-2064
ISSN
0178-8051
Publication Date
March 1, 1991
Volume
88
Issue
1
Start / End Page
121 / 136
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4904 Pure mathematics
- 0104 Statistics
- 0102 Applied Mathematics
- 0101 Pure Mathematics