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

数学物理学报 ›› 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

张建康

Institute of Engineering and Technology of the PLA

收稿日期:1982-11-10 出版日期:1984-06-26 发布日期:1984-06-26
基金资助:
This paper was reported in the probability theory symposium of Nankai University and the National the First Probability and Statistics Conference

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

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

摘要/Abstract

摘要： 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).

张建康. ON THE GENERALIZED BIRTH AND DEATH PROCESSES (Ⅰ)——THE NUMERAL INTRODUCTION, THE FUNCTIONAL OF INTEGRAL TYPE AND THE DISTRIBUTIONs OF RUNS AND PASSAGE TIMES[J]. 数学物理学报, 1984, 4(2): 241-259.

Zhang Jiankang. ON THE GENERALIZED BIRTH AND DEATH PROCESSES (Ⅰ)——THE NUMERAL INTRODUCTION, THE FUNCTIONAL OF INTEGRAL TYPE AND THE DISTRIBUTIONs OF RUNS AND PASSAGE TIMES[J]. Acta mathematica scientia,Series A, 1984, 4(2): 241-259.

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

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

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