Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (1): 16-25.

• Articles • Previous Articles     Next Articles

&mu|Invariant Measures for Q Processes——Containing an Absorbing State Case

Wu Qun-Ying   

  • Online:2004-02-25 Published:2004-02-25
  • Supported by:

    国家自然科学基金(19871006)及广西自然科学基金资助

Abstract:

Let Q={q_{ij};i,j∈E} be a stable Q matrix over a state space E  consisting of an irreducible class C and a single absorbing state 0, which is accessible from C . Suppose  that Q admits a finite μ subinvariant measure  m={m_j;j∈C} on C. The author considers the problem of identifying all Q processes for which  m is a μ invariant measure on C.

Key words: Q processes, &mu, subinvariant measure, &mu, invariant measure, Absor bing state

CLC Number: 

  • 60J27
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