BIRTH DEATH PROCESSES WITH PIECEWISE CONSTANT RATES

被引：22

作者：

KOPPSCHNEIDER, A ^{[1
]}

机构：

[1] DEUTSCH KREBSFORSCHUNGSZENTRUM,BIOSTAT ABT,W-6900 HEIDELBERG,GERMANY

来源：

STATISTICS & PROBABILITY LETTERS | 1992年 / 13卷 / 02期

关键词：

BIRTH DEATH PROCESS; MULTISTAGE MODEL; INITIATION PROMOTION EXPERIMENT;

D O I：

10.1016/0167-7152(92)90086-K

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper derives the probability distribution and extinction probabilities for a birth-death process with piecewise constant rates. Such processes are used to model various biological phenomena. The results are applied to multistage models of carcinogenesis incorporating clonal expansion.

引用

页码：121 / 127

页数：7

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