Details

Autor(en) / Beteiligte

• Xiang-qun Yang He-song Wang

Titel

Unified Characteristic Numbers and Solutions of Equations for Birth and Death Processes with Barriers

Ist Teil von

• Acta Mathematicae Applicatae Sinica, 2010-07, Vol.26 (3), p.443-454

Ort / Verlag

Heildeberg: Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

Erscheinungsjahr

2010

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• The state 0 of a birth and death process with state space E = {0, 1, 2,...} is a barrier which can be classified into four kinds： reflection, absorption, leaping reflection, quasi-leaping reflection. For the first, second and fourth barriers, the characteristic numbers of different forms have been introduced. In this paper unified characteristic numbers for birth and death processes with barriers were introduced, the related equations were solved and the solutions were expressed by unified characteristic numbers. This paper concerns work solving probability construction problem of birth and death processes with leaping reflection barrier and quasi-leaping reflection barrier.