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An introduction to measure-theoretic probability / by George G. Roussas.

By: Material type: TextTextPublication details: Amsterdam : Elsevier, 2014.Edition: Second editionDescription: xxiv, 401 pages : illustrations ; 25 cmISBN:
  • 9780128000427
Subject(s): DDC classification:
  • 519.2 23
LOC classification:
  • QA273 .R864 2014
Summary: "In this introductory chapter, the concepts of a field and of a [sigma]-field are introduced, they are illustrated bymeans of examples, and some relevant basic results are derived.Also, the concept of a monotone class is defined and its relationship to certain fields and [sigma]-fields is investigated. Given a collection of measurable spaces, their product space is defined, and some basic properties are established. The concept of a measurable mapping is introduced, and its relation to certain [sigma]-fields is studied. Finally, it is shown that any random variable is the pointwise limit of a sequence of simple random variables"--
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Holdings
Item type Current library Collection Call number Vol info Status Date due Barcode
Main Long Main Long Martin Oduor-Otieno Library This item is located on the library Second Floor Non-fiction QA273 .R864 2014 (Browse shelf(Opens below)) 29956/19 Available MOOL19070218
Browsing Martin Oduor-Otieno Library shelves, Shelving location: This item is located on the library Second Floor, Collection: Non-fiction Close shelf browser (Hides shelf browser)
QA273 .H694 1997 Probability and statistical inference / QA273 .M225 2004 Multivariate probability / QA273 .R82 2013 Simulation / QA273 .R864 2014 An introduction to measure-theoretic probability / QA273 .R8647 2014 Introduction to probability / QA273 .T48 2012 Understanding probability / QA273 .T48 2012 Understanding probability /

Includes bibliographical references and index.

"In this introductory chapter, the concepts of a field and of a [sigma]-field are introduced, they are illustrated bymeans of examples, and some relevant basic results are derived.Also, the concept of a monotone class is defined and its relationship to certain fields and [sigma]-fields is investigated. Given a collection of measurable spaces, their product space is defined, and some basic properties are established. The concept of a measurable mapping is introduced, and its relation to certain [sigma]-fields is studied. Finally, it is shown that any random variable is the pointwise limit of a sequence of simple random variables"--

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