| Document Type
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BL
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| Record Number
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655805
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| Doc. No
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dltt
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| Main Entry
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Rahimov, Ibrahim.
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| Title & Author
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Random sums and branching stochastic processes /\ Ibrahim Rahimov.
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| Publication Statement
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New York :: Springer-Verlag,, c1995.
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| Series Statement
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Lecture notes in statistics ;; 96
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| Page. NO
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195 p. ;; 24 cm.
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| ISBN
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038794446X (acid-free paper)
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: 9780387944463 (acid-free paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. [185]-193) and index.
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| Contents
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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.
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| Subject
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Branching processes.
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| Subject
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Sequences (Mathematics)
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| Subject
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Random variables.
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| LC Classification
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QA274.76.R34 1995
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