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Mathematics and Its Applications

Nonparametric Methods in Change Point Problems

Authors: Brodsky, E., Darkhovsky, B.S.

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Hardcover $149.99
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About this book

The explosive development of information science and technology puts in new problems involving statistical data analysis. These problems result from higher re­ quirements concerning the reliability of statistical decisions, the accuracy of math­ ematical models and the quality of control in complex systems. A new aspect of statistical analysis has emerged, closely connected with one of the basic questions of cynergetics: how to "compress" large volumes of experimental data in order to extract the most valuable information from data observed. De­ tection of large "homogeneous" segments of data enables one to identify "hidden" regularities in an object's behavior, to create mathematical models for each seg­ ment of homogeneity, to choose an appropriate control, etc. Statistical methods dealing with the detection of changes in the characteristics of random processes can be of great use in all these problems. These methods have accompanied the rapid growth in data beginning from the middle of our century. According to a tradition of more than thirty years, we call this sphere of statistical analysis the "theory of change-point detection. " During the last fifteen years, we have witnessed many exciting developments in the theory of change-point detection. New promising directions of research have emerged, and traditional trends have flourished anew. Despite this, most of the results are widely scattered in the literature and few monographs exist. A real need has arisen for up-to-date books which present an account of important current research trends, one of which is the theory of non parametric change--point detection.

Reviews

`... excellent monograph ... highly recommended ... as a graduate-level textbook on the subject, as well as an outstanding source of information for everyone doing research in these and related areas of random processes and mathematical statistics.'
Mathematical Reviews, 95d

Table of contents (7 chapters)

  • Preliminary Considerations

    Brodsky, B. E. (et al.)

    Pages 1-10

  • State-of-the-Art Review

    Brodsky, B. E. (et al.)

    Pages 11-35

  • A Posteriori Change-Point Problems

    Brodsky, B. E. (et al.)

    Pages 36-94

  • Sequential Change-Point Problems

    Brodsky, B. E. (et al.)

    Pages 95-150

  • Disorder Detection of Random Fields

    Brodsky, B. E. (et al.)

    Pages 151-168

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-94-015-8163-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-0-7923-2122-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
price for USA in USD
  • ISBN 978-90-481-4240-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonparametric Methods in Change Point Problems
Authors
Series Title
Mathematics and Its Applications
Series Volume
243
Copyright
1993
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-015-8163-9
DOI
10.1007/978-94-015-8163-9
Hardcover ISBN
978-0-7923-2122-4
Softcover ISBN
978-90-481-4240-8
Edition Number
1
Number of Pages
XII, 210
Topics