Abstract
We consider a population of n individuals. Each of these individuals generates a discrete time branching stochastic process. We study the number of ancestors S(n, t) whose offspring at time t exceeds level θ(t), where θ(t) is some positive valued function. It is proved that S(n, t) may be approximated as t → ∞ and n → ∞ by some stochastic processes with independent increments.
| Original language | English |
|---|---|
| Pages (from-to) | 147-156 |
| Number of pages | 10 |
| Journal | Communications in Statistics. Part C: Stochastic Models |
| Volume | 17 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2001 |
Keywords
- Ancestor
- Binomial process
- Branching process
- Brownian motion
- Exceedance
- Poisson process
- Population
- Skorohod topology
ASJC Scopus subject areas
- Modeling and Simulation
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