Yule-Furry经典δ冲击模型的寿命性质

吉林大学学报(理学版) ›› 2024, Vol. 62 ›› Issue (1): 35-0048.

Yule-Furry经典δ冲击模型的寿命性质

马明, 拉毛措, 彭博, 马岚, 黄嫒

西北民族大学数学与计算机科学学院, 兰州 730030

收稿日期:2023-05-09 出版日期:2024-01-26 发布日期:2024-01-26
通讯作者: 拉毛措 E-mail:2242674488@qq.com

Lifetime Properties of Yule-Furry Classical δ Shock Model

MA Ming, LA Maocuo, PENG Bo, MA Lan, HUANG Ai

School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China

Received:2023-05-09 Online:2024-01-26 Published:2024-01-26

摘要/Abstract

摘要： 采用取条件法、概率法和矩母函数法研究Yule-Furry经典δ冲击模型的寿命问题, 给出该模型的可靠度、矩母函数、寿命的矩等寿命性质的显式表达式, 并将该模型的平均寿命应用在细胞癌变问题中进行数值验证.

关键词: Yule-Furry过程, 经典δ冲击模型, 可靠度, 平均寿命

Abstract: We used taking condition method, probability method and moment generating function method to research the lifetime problem of Yule-Furry classical δ shock model, and gave the explicit expressions of the lifetime properties such as reliability, moment generating function and moment of lifetime of the model. The mean lifetime of the model was applied to the problem of cell carcinogenesis and numerically verified.

Key words: Yule-Furry process, classical δ shock model, reliability, mean lifetime

中图分类号:

O213.2

马明, 拉毛措, 彭博, 马岚, 黄嫒. Yule-Furry经典δ冲击模型的寿命性质[J]. 吉林大学学报(理学版), 2024, 62(1): 35-0048.

MA Ming, LA Maocuo, PENG Bo, MA Lan, HUANG Ai. Lifetime Properties of Yule-Furry Classical δ Shock Model[J]. Journal of Jilin University Science Edition, 2024, 62(1): 35-0048.