rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: A
    title: graduate course in probability
  name:
    name part: Tucker, Howard G.
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1967
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xiii, 273 pages)
  abstract: A Graduate Course in Probability.
  table of contents: Front Cover; A Graduate Course in Probability; Copyright Page; Dedication; Preface; Table of Contents; CHAPTER 1. Probability Spaces; 1.1 Sigma Fields; 1.2 Probability Measures; 1.3 Random Variables; CHAPTER 2. Probability Distributions; 2.1. Univariate Distribution Functions; 2.2. Multivariate Distribution Functions; 2.3. Distribution of a Set of Infinitely Many Random Variables; 2.4. Expectation; 2.5. Characteristic Functions; CHAPTER 3. Stochastic Independence; 3.1. Independent Events; 3.2. Independent Random Variables; 3.3. The Zero-One Law; CHAPTER 4. Basic Limiting Operations.
  table of contents: 4.1. Convergence of Distribution Functions4.2. The Continuity Theorem; 4.3. Refinements of the Continuity Theorem for Nonvanishing Characteristic Functions; 4.4. The Four Types of Convergence: Almost Sure, in Law, in Probability, and in rth Mean; CHAPTER 5. Strong Limit Theorems for Independent Random Variables; 5.1. Almost Sure Convergence of Series of Independent Random Variables; 5.2. Proof that Convergence in Law of a Series of Independent Random Variables Implies Almost Sure Convergence; 5.3. The Strong Law of Large Numbers; 5.4. The Glivenko-Cantelli Theorem.
  table of contents: 5.5. Inequalities for the Law of the Iterated Logarithm5.6. The Law of the Iterated Logarithm; CHAPTER 6. The Central Limit Theorem; 6.1. Infinitely Divisible Distributions; 6.2. Canonical Representation of Infinitely Divisible Characteristic Functions; 6.3 Convergence of Infinitely Divisible Distribution Functions; 6.4. Infinitesimal Systems of Random Variables; 6.5. The General Limit Theorem for Sequences of Sums of Independent Random Variables; 6.6. Convergence to the Normal and Poisson Distributions; CHAPTER 7. Conditional Expectation and Martingale Theory; 7.1. Conditional Expectation.
  table of contents: 7.2. Martingales and Submartingales7.3. Martingale and Submartingale Convergence Theorems; 7.4. Brownian Motion; CHAPTER 8. An Introduction to Stochastic Processes and, in Particular, Brownian Motion; 8.1 Probability Measures over Function Spaces; 8.2 Separable Stochastic Processes; 8.3 Continuity and Nonrectifiability of Almost All Sample Functions of Separable Brownian Motion; 8.4. The Law of the Iterated Logarithm for Separable Brownian Motion; Suggested Reading; Index.
  note: Howard G. Tucker.
  note: Includes bibliographical references (page 270).
  note: English.
  subject:
    topic: Probabilities
  subject:
    topic: Probability
  subject:
    topic: Probabilités
  subject:
    topic: probability
  subject:
    topic: MATHEMATICS
    topic: Applied
  subject:
    topic: MATHEMATICS
    topic: Probability & Statistics
    topic: General
  subject:
    topic: Probabilities
  subject:
    topic: Wahrscheinlichkeit
  subject:
    topic: Wahrscheinlichkeitsrechnung
  classification: QA273 .T78 1967eb
  classification: 519/.1
  classification: 31.70
  classification: QH 170
  classification: SK 800
  related item:
    title info:
      title: Graduate course in probability
    name:
      name part: Tucker, Howard G.
    identifier: (DLC) 66030820
    identifier: (OCoLC)528562
  related item:
    title info:
      title: Probability and mathematical statistics ; 2
  identifier: 9781483220505
  identifier: 1483220508
  identifier: 0127026460
  identifier: 9780127026466
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 141027
    record change date: 20260326211522.5
    record identifier: in00005757252
    language of cataloging:
      language term: eng