Author | Rahimov, Ibrahim. author |
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Title | Random Sums and Branching Stochastic Processes [electronic resource] / by Ibrahim Rahimov |
Imprint | New York, NY : Springer New York, 1995 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-4216-1 |
Descript | VIII, 195 p. online resource |
I. Sums of a Random Number of Random Variables -- ยง1.1. Sampling sums of dependent variables and mixtures of infinitely divisible distributions -- ยง1.2. Limit theorems for a sum of randomly indexed sequences -- ยง1.3. Necessary and sufficient conditions and limit theorems for sampling sums -- II. Branching Processes with Generalized Immigration -- ยง2.1.Classical models of branching processes -- ยง2.2 General branching processes with reproduction dependent immigration -- ยง2.3.Discrete time processes -- ยง2.4.Convergence to Jirina processes and transfer theorems for branching processes -- III. Branching Processes with Time-Dependent Immigration -- ยง3. 1.Decreasing immigration -- ยง3.2.Increasing immigration -- ยง3.3.Local limit theorems -- IV. The Asymptotic Behavior of Families of Particles in Branching Processes -- ยง4.1. Sums of dependent indicators -- ยง4.2.Family of particles in critical processes -- ยง4.3.Families of particles in supercritical and subcritical processes -- References