Properties of Quadratic Weighted Markov Branching Processes with Immigration and Resurrection

Mathematical Theory and Applications ›› 2017, Vol. 37 ›› Issue (2): 11-17.

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Properties of Quadratic Weighted Markov Branching Processes with Immigration and Resurrection

Qu Shanshan, Wang Juan

College of Science,University of Shanghai for Science and Technology

Online:2017-06-30 Published:2020-09-23

Abstract

Abstract:

In this paper we study the regularity,uniqueness,recurrence and ergodicity of the quadratic weighted Markov branching processes with immigration and resurrection(QWMBPIR).Firstly,we investigate the properties of the generating function for QWMBIR q-matrix.It is proved that the QWMBPIR is regular and unique.Then we discuss the recurrence and ergodicity of QWMBPIR and give a sufficient condition for the ergodicity.

Key words:

"> Weighted branching process, Immigration, Resurrection, Uniqueness, Ergodicity

Qu Shanshan, Wang Juan.

Properties of Quadratic Weighted Markov Branching Processes with Immigration and Resurrection [J]. Mathematical Theory and Applications, 2017, 37(2): 11-17.

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Properties of Quadratic Weighted Markov Branching Processes with Immigration and Resurrection

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