| Mo WENCHUAN.[J].数学年刊A辑,1980,1(2):245~254 |
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| COUNTABLE HOMOGENEOUS MARKOV PROCESSESWITH IDENTICAL HITTING DISTRIBUTIONS |
| Received:December 08, 1978 |
| DOI： |
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| 英文摘要: |
| A theorem of Blumentbal； Getoor and McKean (1962) states： Let both X (t) and
X*(t) be Hunt processes, then they have identical hitting distributions if there exists
a continuous random time substitute Z(t) such that X(Z(t) and X*(t) have identical
transition functions.
In this paper an analogous theorem is established for countable homogeneoue
Markov processes with conservative Q-matrix (in general, they are not Hunt processes),and another necessary and sufficient condition is found. |
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