Acta mathematica scientia,Series A ›› 1984, Vol. 4 ›› Issue (2): 241-259.

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ON THE GENERALIZED BIRTH AND DEATH PROCESSES (Ⅰ)——THE NUMERAL INTRODUCTION, THE FUNCTIONAL OF INTEGRAL TYPE AND THE DISTRIBUTIONs OF RUNS AND PASSAGE TIMES

Zhang Jiankang   

  1. Institute of Engineering and Technology of the PLA
  • Received:1982-11-10 Online:1984-06-26 Published:1984-06-26
  • Supported by:
    This paper was reported in the probability theory symposium of Nankai University and the National the First Probability and Statistics Conference

Abstract: This paper makes a painstaking discussion for the generalized birth and death processes, describes some properties of processes in fixed quantity:Such as the uniqueness criterion of processes and the distributions of runs and passage times of the generalized birth and death processes which non-recurrent in (I).

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