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Computing Statistics under Interval and Fuzzy Uncertainty: Applications to Computer Science and Engineering: 393 (Studies in Computational Intelligence) - Softcover

 
9783642445705: Computing Statistics under Interval and Fuzzy Uncertainty: Applications to Computer Science and Engineering: 393 (Studies in Computational Intelligence)

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“This book is a research exposition by Kreinovich and coworkers. ... The main goal is to present algorithms for computation of statistical characteristics (like variance) but under interval and fuzzy uncertainty of the available data. In this book, fuzzy uncertainty is reduced to interval uncertainty by alpha-cutwise consideration of (convex) fuzzy uncertainty. ... For increase of readability, mathematical proofs are presented always at the end of the chapters.” (Wolfgang Näther, Zentralblatt MATH, Vol. 1238, 2012)

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In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area.

 

Most algorithms for estimating such statistics assume that the sample values are exact. In practice, sample values come from measurements, and measurements are never absolutely accurate. Sometimes, we know the exact probability distribution of the measurement inaccuracy, but often, we only know the upper bound on this inaccuracy. In this case, we have interval uncertainty: e.g. if the measured value is 1.0, and inaccuracy is bounded by 0.1, then the actual (unknown) value of the quantity can be anywhere between 1.0 - 0.1 = 0.9 and 1.0 + 0.1 = 1.1. In other cases, the values are expert estimates, and we only have fuzzy information about the estimation inaccuracy.

 

This book shows how to compute statistics under such interval and fuzzy uncertainty. The resulting methods are applied to computer science (optimal scheduling of different processors), to information technology (maintaining privacy), to computer engineering (design of computer chips), and to data processing in geosciences, radar imaging, and structural mechanics.

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  • VerlagSpringer
  • Erscheinungsdatum2014
  • ISBN 10 3642445705
  • ISBN 13 9783642445705
  • EinbandTapa blanda
  • SpracheEnglisch
  • Anzahl der Seiten444

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9783642249044: Computing Statistics under Interval and Fuzzy Uncertainty: Applications to Computer Science and Engineering: 393 (Studies in Computational Intelligence)

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ISBN 10:  3642249043 ISBN 13:  9783642249044
Verlag: Springer, 2011
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Nguyen, Hung; Kreinovich, Vladik; Wu, Berlin & Xiang, Gang
Verlag: Springer, Berlin, 2012
ISBN 10: 3642445705 ISBN 13: 9783642445705
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Softcover. Octavo, 430 pages. In Very good condition. Red and blue spine with white lettering. Full binding in red and blue paper. Boards show mild shelf wear and minor edge wear. Text block has light soiling on bottom edge. Note: Shelved in Netdesk Column F, ND-F. 1377680. FP New Rockville Stock. Artikel-Nr. 1377680

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Nguyen, Hung T. T.; Kreinovich, Vladik; Wu, Berlin; Xiang, Gang
Verlag: Springer, 2014
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ISBN 10: 3642445705 ISBN 13: 9783642445705
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area. Most algorithms for estimating such statistics assume that the sample values are exact. In practice, sample values come from measurements, and measurements are never absolutely accurate. Sometimes, we know the exact probability distribution of the measurement inaccuracy, but often, we only know the upper bound on this inaccuracy. In this case, we have interval uncertainty: e.g. if the measured value is 1.0, and inaccuracy is bounded by 0.1, then the actual (unknown) value of the quantity can be anywhere between 1.0 - 0.1 = 0.9 and 1.0 + 0.1 = 1.1. In other cases, the values are expert estimates, and we only have fuzzy information about the estimation inaccuracy. This book shows how to compute statistics under such interval and fuzzy uncertainty. The resulting methods are applied to computer science (optimal scheduling of different processors), to information technology (maintaining privacy), to computer engineering (design of computer chips), and to data processing in geosciences, radar imaging, and structural mechanics. Artikel-Nr. 9783642445705

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