Description 
1 online resource. 
Contents 
General topics in the theory of probability metrics  Probability Distances and Probability Metrics: Definitions  Primary, Simple, and Compound Probability Distances and Minimal and Maximal Distances and Norms  A Structural Classification of Probability Distances  Relations between compound, simple and primary distances  MongeKantorovich Mass Transference Problem, Minimal Distances and Minimal Norms  Quantitative Relationships Between Minimal Distances and Minimal Norms  K Minimal Metrics  Relations Between Minimal and Maximal Distances  Moment Problems Related to the Theory of Probability Metrics: Relations Between Compound and Primary Distances  Applications of minimal probability distances  Moment Distances  Uniformity in Weak and Vague Convergence  GlivenkoCantelli Theorem and BernsteinKantorovich Invariance Principle  Stability of Queueing Systems  Optimal Quality Usage / Svetlozar T. Rachev, Lev B. Klebanov, Stoyan V. Stoyanov, Frank J. Fabozzi  Ideal metrics  Ideal Metrics with Respect to Summation Scheme for i.i.d. Random Variables  Ideal Metrics and Rate of Convergence in the CLT for Random Motions  Applications of Ideal Metrics for Sums of i.i.d. Random Variables to the Problems of Stability and Approximation in Risk Theory  How Close Are the Individual and Collective Models in Risk Theory?  Ideal Metric with Respect to Maxima Scheme of i.i.d. Random Elements  Ideal Metrics and Stability of Characterizations of Probability Distributions  Euclideanlike distances and their applications  Positive and Negative Definite Kernels and Their Properties  Negative Definite Kernels and Metrics: Recovering Measures from Potentials  Statistical Estimates Obtained by the Minimal Distances Method  Some Statistical Tests Based on N Distances  Distances Defined by Zonoids  N Distance Tests of Uniformity on the Hypersphere. 
Bibliography 
Includes bibliographical references and index. 
Reproduction 
Electronic reproduction. Perth, W.A. Available via World Wide Web. 
Note 
Description based on online resource; title from digital title page (viewed on Feb. 7, 2013). 
Subject 
Probabilities.


Mathematical statistics.

Added Author 
Rachev, S. T. (Svetlozar Todorov)


Ebooks Corporation

Related To 
Print version: Rachev, Svetlozar T. Methods of Distances in the Theory of Probability and Statistics Dordrecht : Springer, c2012 9781461448686 
ISBN 
9781461448693 (electronic bk.) 

1461448697 (electronic bk.) 

9781461448686 
