Arnold Janssen, Hartmut Milbrodt, Helmut Strasser

Infinitely Divisible Statistical Experiments (eBook, PDF)

• Format: PDF

Produktbeschreibung

Zur Zeit liegt uns keine Inhaltsangabe vor.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 164
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461572619
• Artikelnr.: 44042763

Inhaltsangabe

I. Limits of Triangular Arrays of Experiments.- 1. Basic Concepts.- 2. Gaussian Experiments.- 3. Introduction to Poisson Experiments.- 4. Convergence of Poisson Experiments.- 5. Convergence of Triangular Arrays.- 6. Identification of Limit Experiments.- II. The Lévy-Khintchine Formula for Infinitely Divisible Experiments.- 7. Preliminaries.- 8. Infinitely Divisible Probability Measures.- 9. The Lévy-Khintchine Formula for Standard Measures.- 10. The Lévy-Khintchine Formula for Arbitrary Regular Infinitely Divisible Statistical Experiments.- III. Representation of Poisson Experiments.- 11. Generalized Poisson Processes.- 12. Standard Poisson Experiments.- IV. Statistical Experiments with Independent Increments.- 13. Preliminaries.- 14. Experiments with Independent Increments.- 15. Existence and Construction of Experiments with Independent Increments.- 16. Infinitely Divisible Experiments with Independent Increments.- 17. Weak Convergence of Triangular Arrays to Experiments with Independent Increments.- 18. The Likelihood Process.- 19. Application to Densities with Jumps.- List of Symbols.- Author Index.