Random sums and branching stochastic processes /

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Bibliographic Details
Main Author: Rahimov, Ibrahim
Format: Book
Language:English
Published: New York : Springer-Verlag, c1995.
Series:Lecture notes in statistics (Springer-Verlag) ; v. 96.
Subjects:
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100 1 |a Rahimov, Ibrahim. 
245 1 0 |a Random sums and branching stochastic processes /  |c Ibrahim Rahimov. 
260 |a New York :  |b Springer-Verlag,  |c c1995. 
300 |a 195 p. ;  |c 24 cm. 
490 1 |a Lecture notes in statistics ;  |v 96 
504 |a Includes bibliographical references (p. [185]-193) and index. 
505 0 |a 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. 
650 0 |a Branching processes. 
650 0 |a Sequences (Mathematics) 
650 0 |a Random variables. 
830 |a Lecture notes in statistics (Springer-Verlag) ;  |v v. 96. 
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