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Volumn 11, Issue , 2004, Pages 168-179

A combinatorial approach to the conditioning of a single entry in the stationary distribution for a Markov chain

Author keywords

Condition number; Directed graph; Markov chain; Stationary vector; Stochastic matrix

Indexed keywords


EID: 4644343844     PISSN: 10813810     EISSN: None     Source Type: Journal    
DOI: 10.13001/1081-3810.1130     Document Type: Article
Times cited : (4)

References (9)
  • 3
    • 0035885345 scopus 로고    scopus 로고
    • Comparison of perturbation bounds for the stationary distribution of a Markov chain
    • G. Cho and C. Meyer. Comparison of perturbation bounds for the stationary distribution of a Markov chain. Linear Algebra and its Applications, 335:137-150, 2001.
    • (2001) Linear Algebra and Its Applications , vol.335 , pp. 137-150
    • Cho, G.1    Meyer, C.2
  • 4
    • 0036398774 scopus 로고    scopus 로고
    • On a question concerning condition numbers for Markov chains
    • S. Kirkland. On a question concerning condition numbers for Markov chains. SIAM Journal on Matrix Analysis and Applications, 23:1109-1119, 2002.
    • (2002) SIAM Journal on Matrix Analysis and Applications , vol.23 , pp. 1109-1119
    • Kirkland, S.1
  • 5
    • 2542458646 scopus 로고    scopus 로고
    • Conditioning properties of the stationary distribution for a Markov chain
    • S. Kirkland. Conditioning properties of the stationary distribution for a Markov chain. Electronic Journal of Linear Algebra, 10:1-15, 2003.
    • (2003) Electronic Journal of Linear Algebra , vol.10 , pp. 1-15
    • Kirkland, S.1
  • 6
    • 2542446534 scopus 로고    scopus 로고
    • Digraph-based conditioning for Markov chains
    • S. Kirkland. Digraph-based conditioning for Markov chains. Linear Algebra and its Applications, 385:81-93, 2004.
    • (2004) Linear Algebra and Its Applications , vol.385 , pp. 81-93
    • Kirkland, S.1
  • 7
    • 0042624332 scopus 로고    scopus 로고
    • Applications of Paz's inequality to perturbation bounds for Markov chains
    • S. Kirkland, M. Neumann, and B. Shader. Applications of Paz's inequality to perturbation bounds for Markov chains. Linear Algebra and its Applications, 268:183-196, 1998.
    • (1998) Linear Algebra and Its Applications , vol.268 , pp. 183-196
    • Kirkland, S.1    Neumann, M.2    Shader, B.3
  • 8
    • 0000760183 scopus 로고
    • The condition of a finite Markov chain and perturbation bounds for the limiting probabilities
    • C. Meyer. The condition of a finite Markov chain and perturbation bounds for the limiting probabilities. SIAM Journal on Discrete and Algebraic Methods, 1:273-283, 1980.
    • (1980) SIAM Journal on Discrete and Algebraic Methods , vol.1 , pp. 273-283
    • Meyer, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.