Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (3): 499-506.

• Articles • Previous Articles     Next Articles

THE EXISTENCE AND MOMENTS OF CANONICAL
BRANCHING CHAIN IN RANDOM ENVIRONMENT

 HU Di-He   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    Supported by NNSF of China(10371092) and the
    Foundation of Wuhan University

Abstract:

The concepts of branching chain in random environmnet and canonical branching
chain in random environment are introduced. Moreover the existence of these chains is
proved. Finally the exact formulas of mathematical expectation and variance of branching
chain in random environment are also given.

Key words: Random transition matrix, branching chain in random environment, canonical
branching chains in random environments,
generator random varialble

CLC Number: 

  • 60J80
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