– Stochastic Course Notes
1. Definition
Consider a population
- Each individual produces j new offspring each period with probability
. Key assumption: This distribution is constant over time. - Assume that
for all j (i.e., the problem is not deterministic) - Let
be the size of the population at period n
2. Number of Population in the n-th Generation
3. Probability of Die Out
Analysis
Example
4. Example: Family Genetics
Problem:
Solution:
