The Qualitative Theory for Birth and Death Processes with Barrier

Xiang Qun YANG, Lin XIAO, He Song WANG

Acta Mathematica Sinica, Chinese Series ›› 2010, Vol. 53 ›› Issue (5) : 1019-1026.

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Acta Mathematica Sinica, Chinese Series ›› 2010, Vol. 53 ›› Issue (5) : 1019-1026. DOI: 10.12386/A2010sxxb0113
Articles

The Qualitative Theory for Birth and Death Processes with Barrier

  • Xiang Qun YANG1, Lin XIAO1,2, He Song WANG1,3
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Abstract

The qualitative theory for birth and death processes with barrier (BDP) is researched. According to kinds of barrier 0, kinds of boundary point Z, BDP is whether or not honest, whether or not satisfying backward equations or forward equations, there are many combinations and there are many types of BDPs. For each type there is not or only one, or there are infinitely many BDFs. A table obtained in detail.

 

Key words

birth and death process with barrier / qualitative theory / kinds of barrier

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Xiang Qun YANG, Lin XIAO, He Song WANG. The Qualitative Theory for Birth and Death Processes with Barrier. Acta Mathematica Sinica, Chinese Series, 2010, 53(5): 1019-1026 https://doi.org/10.12386/A2010sxxb0113

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