Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (1): 41-46.

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On Kendall's Conjecture for an Extended Birth-death Q-processes with Instantaneous State and Catastrophes

  

  1.  Department of Maths and Physics, Guilin Institute of Technology, Guilin 541004, China
  • Received:2001-10-16 Online:2004-03-30 Published:2024-03-25
  • About author:WU Qun-ying(1961-),female,native of Liuzhou,Guangxi,a professor of Guilin Institute of Technology,Ph.D.,engages in probability statistics.
  • Supported by:
    Supported by the Guangxi Science Foundation(0339071);

Abstract:  A new structure with the special property that instantaneous state and catastrophes is imposed to ordinary birth-death processes is considered. Kendall’s conjecture for the processes is proved to be right.


Key words: extended , birth-death , process;instantaneous ,  state;Kendall's ,  conjecture 

CLC Number: