• Produktbild: Random Sums and Branching Stochastic Processes
  • Produktbild: Random Sums and Branching Stochastic Processes
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Random Sums and Branching Stochastic Processes

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.01.1995

Verlag

Springer Us

Seitenzahl

195

Maße (L/B/H)

23.5/15.5/1.1 cm

Gewicht

306 g

Auflage

Softcover reprint of the original 1st ed. 1995

Sprache

Englisch

ISBN

978-0-387-94446-3

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

06.01.1995

Verlag

Springer Us

Seitenzahl

195

Maße (L/B/H)

23.5/15.5/1.1 cm

Gewicht

306 g

Auflage

Softcover reprint of the original 1st ed. 1995

Sprache

Englisch

ISBN

978-0-387-94446-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Random Sums and Branching Stochastic Processes
  • Produktbild: Random Sums and Branching Stochastic Processes
  • I. Sums of a Random Number of Random Variables.-
    1.1. Sampling sums of dependent variables and mixtures of infinitely divisible distributions.-
    1a. Sums of a random number of random variables.-
    1b. Multiple sums of dependent random variables.-
    1c. Sampling sums from a finite population.-
    1.2. Limit theorems for a sum of randomly indexed sequences.-
    2a. Sufficient conditions.-
    2b. Necessary and sufficient conditions.-
    2c. An application.-
    1.3. Necessary and sufficient conditions and limit theorems for sampling sums.-
    3a. Convergence theorems.-
    3b. The rate of convergence.- II. Branching Processes with Generalized Immigration.-
    2.1.Classical models of branching processes.-
    1a. Bellman-Harris processes.-
    1b. Moments and extinction probabilities.-
    1c. Asymptotics of non-extinct Ion probability and exponential unit distribution.-
    1d. Branching processes with stationary immigration.-
    1e. Continuous tine branching processes with immigration.-
    2.2 General branching processes with reproduction dependent immigration.-
    2a. The model.-
    2b. The main theorem.-
    2c. The proof of the twin theorem.-
    2d. Applications of the main theorem.-
    2.3.Discrete time processes.-
    3a. The model.-
    3b. Limit theorems for discrete time processes.-
    3c. Some examples.-
    3d.Randomly stopped immigration.-
    2.4.Convergence to Jirina processes and transfer theorems for branching processes.-
    4a. The model.-
    4b. The main theorem and corollaries.-
    4c. The proof of the main theorem.- III. Branching Processes with Time-Dependent Immigration.-
    3. 1.Decreasing immigration.-
    1a. The main theorem.-
    1b. The proof of the main theorem.-
    1c. State-dependent immigration.-
    3.2.Increasing immigration.-
    2a. The process with Infinite variance.-
    2b. The process with finite variance.-
    3.3.Local limit theorems.-
    3a. Occupation of an increasing state.-
    3b. Occupation of a fixed state.- IV. The Asymptotic Behavior of Families of Particles in Branching Processes.-
    4.1. Sums of dependent indicators.-
    1a. Sums of functions of independent random variables.-
    1b. Sampling sums of dependent indicators.-
    4.2.Family of particles in critical processes.-
    2a. The model.-
    2b. Limit theorems.-
    4.3.Families of particles in supercritical and subcritical processes.-
    3a. Supercritical processes.-
    3b. Subcritical processes.- References.