Computing statistics under interval and fuzzy uncertainty: applications to computer science and engineering

by Nguyen, Hung T.

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Title Statements

Full title :Computing statistics under interval and fuzzy uncertainty : applications to computer science and engineering / Hung T. Nguyen [and others].

Summary

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.

Edition Statements

Publication Date:©2012.

Publication Statements

Publisher(s):Springer
Place of Publication:Berlin
Language:eng
Publication Date:©2012.

The Physical Object

Description:1 online resource (xi, 430 pages)

Edition Identifiers

ISBN:9783642249051, 3642249051, 3642249043, 9783642249044
DOI:10.1007/978-3-642-24905-1
oclc:ocn765267146
LC Classification:QA276.4
Dewey Decimal:519.50285

Part I Computing Statistics under Interval and Fuzzy Uncertainty: Formulation of the Problem and an Overview of General Techniques Which Can Be Used for Solving this Problem -- Part II Algorithms for Computing Statistics Under Interval and Fuzzy Uncertainty -- Part III Towards Computing Statistics under Interval and Fuzzy Uncertainty: Gauging the Quality of the Input Data -- Part IV Applications -- Part V Beyond Interval and Fuzzy Uncertainty.

Subjects

applied mathematics Applied Statistics artificial intelligence computational science engineering Engineering (General) Engineering mathematics Ingénierie kunstmatige intelligentie Mathematical statistics -- Data process… Statistique mathématique -- Informatique Techniek (algemeen) Toegepaste statistiek toegepaste wiskunde