Mass Transportation Problems

Volume 1: Theory
Softcover Nachdruck of the original 1. Auflage 1998
ISBN: 978-1-4757-8525-8
Verlag: Springer

Buch, Englisch, 508 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 809 g

Reihe: Probability and Its Applications

The first comprehensive account of the theory of mass transportation problems and its applications. In Volume I, the authors systematically develop the theory with emphasis on the Monge-Kantorovich mass transportation and the Kantorovich-Rubinstein mass transshipment problems. They then discuss a variety of different approaches towards solving these problems and exploit the rich interrelations to several mathematical sciences - from functional analysis to probability theory and mathematical economics. The second volume is devoted to applications of the above problems to topics in applied probability, theory of moments and distributions with given marginals, queuing theory, risk theory of probability metrics and its applications to various fields, among them general limit theorems for Gaussian and non-Gaussian limiting laws, stochastic differential equations and algorithms, and rounding problems. Useful to graduates and researchers in theoretical and applied probability, operations research, computer science, and mathematical economics, the prerequisites for this book are graduate level probability theory and real and functional analysis.

Zielgruppe

Research

Autoren/Hrsg.

Rüschendorf, Ludger

Rachev, Svetlozar T.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

The Monge-Kantorovich Problem.- Explicit Results for the Monge-Kantorovich Problem.- Duality Theory for Mass Transfer Problems.- Applications of the Duality Theory.- Mass Transshipment Problems and Ideal Metrics.