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Weak Convergence of Measures

Weak Convergence of Measures

Weak Convergence of Measures

Applications in Probability
Patrick Billingsley
June 1971
Paperback
9780898711769
AUD$58.14
exc GST
Paperback

    A treatment of the convergence of probability measures from the foundations to applications in limit theory for dependent random variables. Mapping theorems are proved via Skorokhod's representation theorem; Prokhorov's theorem is proved by construction of a content. The limit theorems at the conclusion are proved under a new set of conditions that apply fairly broadly, but at the same time make possible relatively simple proofs.

    Product details

    June 1971
    Paperback
    9780898711769
    37 pages
    255 × 178 × 100 mm
    0.3kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

    Table of Contents

    • Weak convergence
    • Random elements and convergence in distribution
    • Prokhorov's theorem
    • The Space C
    • A maximal Inequality
    • Tightness
    • Limit theorems.
      Author
    • Patrick Billingsley