Random sums and branching stochastic processes /
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer-Verlag,
c1995.
|
| Series: | Lecture notes in statistics (Springer-Verlag) ;
v. 96. |
| Subjects: |
Table of Contents:
- Ch. I. Sums of a Random Number of Random Variables. 1.1. Sampling sums of dependent variables and mixtures of infinitely divisible distributions. 1.2. Limit theorems for a sum of randomly indexed sequences. 1.3. Necessary and sufficient conditions and limit theorems for sampling sums
- Ch. II. Branching Processes with Generalized Immigration. 2.1. Classical models of branching processes. 2.2. General branching processes with reproduction dependent immigration. 2.3. Discrete time processes. 2.4. Convergence to Jirina processes and transfer theorems for branching processes
- Ch. III. Branching Processes with Time-Dependent Immigration. 3.1. Decreasing immigration. 3.2. Increasing immigration. 3.3. Local limit theorems
- Ch. IV. The Asymptotic Behavior of Families of Particles in Branching Processes. 4.1. Sums of dependent indicators. 4.2. Family of particles in critical processes. 4.3. Families of particles in supercritical and subcritical processes.