Probabilistic Symmetries And Invariance Principles at Meripustak

Probabilistic Symmetries And Invariance Principles

Books from same Author: Olav Kallenberg

Books from same Publisher: Springer

Related Category: Author List / Publisher List


  • Retail Price: ₹ 20059/- [ 21.00% off ]

    Seller Price: ₹ 15846

Sold By: T K Pandey      Click for Bulk Order

Offer 1: Get ₹ 111 extra discount on minimum ₹ 500 [Use Code: Bharat]

Offer 2: Get 21.00 % + Flat ₹ 100 discount on shopping of ₹ 1500 [Use Code: IND100]

Offer 3: Get 21.00 % + Flat ₹ 300 discount on shopping of ₹ 5000 [Use Code: MPSTK300]

Free Shipping (for orders above ₹ 499) *T&C apply.

In Stock

Free Shipping Available



Click for International Orders
  • Provide Fastest Delivery

  • 100% Original Guaranteed
  • General Information  
    Author(s)Olav Kallenberg
    PublisherSpringer
    ISBN9780387251158
    Pages512
    BindingHardback
    LanguageEnglish
    Publish YearAugust 2005

    Description

    Springer Probabilistic Symmetries And Invariance Principles by Olav Kallenberg

    This book is about random objects-sequences, processes, arrays, measures, functionals-with interesting symmetry properties. Here symmetry should beunderstoodinthebroadsenseofinvarianceunderafamily(notnecessarily a group) of measurable transformations. To be precise, it is not the random objects themselves but rather their distributions that are assumed to be symmetric. Though many probabilistic symmetries are conceivable and have been considered in various contexts, four of them-stationarity, contractability, exchangeability, and rotatability-stand out as especially interesting and - portant in several ways: Their study leads to some deep structural theorems of great beauty and signi?cance, they are intimately related to some basic areasofmodernprobabilitytheory, andtheyaremutuallyconnectedthrough a variety of basic relationships. The mentioned symmetries may be de?ned as invariance in distribution under shifts, contractions, permutations, and rotations. Stationarity being a familiar classical topic, treated extensively in many standard textbooks and monographs, most of our attention will be focused on the remaining three basic symmetries.The study of general probabilistic symmetries essentially originated with the work of de Finetti (1929-30), who proved by elementary means (no - vanced tools being yet available) the celebrated theorem named after him- the fact that every in?nite sequence of exchangeable events is mixed i.i.d.show more The Basic Symmetries.- Conditioning and Martingales.- Convergence and Approximation.- Predictable Sampling and Mapping.- Decoupling Identities.- Homogeneity and Reflections.- Symmetric Arrays.- Multi-variate Rotations.- Symmetric Measures in the Plane.