An introduction to random sets

Bibliographic Information

An introduction to random sets

Hung T. Nguyen

CRC Press, Taylor & Francis Group, 2019, c2006

  • : pbk

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Note

"A Chapman & Hall book"

Publisher on spine: Routledge

"First issued in paperback 2019"--T.p. verso

Includes bibliographical references (p. 247-254) and index

Description and Table of Contents

Description

The study of random sets is a large and rapidly growing area with connections to many areas of mathematics and applications in widely varying disciplines, from economics and decision theory to biostatistics and image analysis. The drawback to such diversity is that the research reports are scattered throughout the literature, with the result that in science and engineering, and even in the statistics community, the topic is not well known and much of the enormous potential of random sets remains untapped. An Introduction to Random Sets provides a friendly but solid initiation into the theory of random sets. It builds the foundation for studying random set data, which, viewed as imprecise or incomplete observations, are ubiquitous in today's technological society. The author, widely known for his best-selling A First Course in Fuzzy Logic text as well as his pioneering work in random sets, explores motivations, such as coarse data analysis and uncertainty analysis in intelligent systems, for studying random sets as stochastic models. Other topics include random closed sets, related uncertainty measures, the Choquet integral, the convergence of capacity functionals, and the statistical framework for set-valued observations. An abundance of examples and exercises reinforce the concepts discussed. Designed as a textbook for a course at the advanced undergraduate or beginning graduate level, this book will serve equally well for self-study and as a reference for researchers in fields such as statistics, mathematics, engineering, and computer science.

Table of Contents

Introduction. Finite Random Sets in Survey Sampling. Random Sets in Statistics. Random Sets in Uncertainty Modeling. Theory of Random Closed Sets on Locally Compact Spaces. Integration. Some Applications.

by "Nielsen BookData"

Details

  • NCID
    BB29372176
  • ISBN
    • 9780367390990
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Boca Raton
  • Pages/Volumes
    ix, 257 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
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