Critical age-dependent branching processes: Single and multitype

1971 ◽  
Vol 17 (1) ◽  
pp. 74-88 ◽  
Author(s):  
Martin I. Goldstein
Keyword(s):  
Branching Processes ◽  
Age Dependent ◽  
Critical Age

Extinction probability for critical age-dependent branching processes with generation dependence

1980 ◽  
Vol 17 (1) ◽  
pp. 16-24
Author(s):  
Dean H. Fearn
Keyword(s):  
Branching Processes ◽  
Extinction Probability ◽  
Regularity Conditions ◽  
Limiting Behavior ◽  
Age Dependent ◽  
Mean And Variance ◽  
Critical Age ◽  
The Mean ◽  
Probability Of Extinction ◽  
Lifespan Distribution

The limiting behavior of the probability of extinction of critical age-dependent branching processes with generation dependence is obtained using Goldstein's methods. Regularity conditions on the mean and variance of the birth distributions are assumed. Also the lifespan distribution is assumed to satisfy suitable regularity conditions.

Extinction probability for critical age-dependent branching processes with generation dependence

1980 ◽  
Vol 17 (01) ◽  
pp. 16-24 ◽  
Author(s):  
Dean H. Fearn
Keyword(s):  
Branching Processes ◽  
Extinction Probability ◽  
Regularity Conditions ◽  
Limiting Behavior ◽  
Age Dependent ◽  
Mean And Variance ◽  
Critical Age ◽  
The Mean ◽  
Probability Of Extinction ◽  
Lifespan Distribution

The limiting behavior of the probability of extinction of critical age-dependent branching processes with generation dependence is obtained using Goldstein's methods. Regularity conditions on the mean and variance of the birth distributions are assumed. Also the lifespan distribution is assumed to satisfy suitable regularity conditions.

Multi-type age-dependent branching processes as models of metastasis evolution

2019 ◽  
Vol 35 (3) ◽  
pp. 284-299
Author(s):  
Maroussia Slavtchova-Bojkova ◽  
Kaloyan Vitanov
Keyword(s):  
Branching Processes ◽  
Age Dependent
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