Random Sets
Subtitle: Theory and Applications
By: edited by John Goutsias, Ronald P.S. Mahler, Hung T. Nguyen
Contributors: Mahler, Ronald P. S.; Nguyen, Hung T.
Series: The IMA Volumes in Mathematics and its Applications -- 97; IMA volumes in mathematics and its applications -- 97.
Publisher: Springer New York
Published: 1997
Place of publication: New York, NY
Language: eng
Format: [electronic resource] :
Number of pages: 416
ISBN-13: 9781461273509; 9781461219422
Subjects: Mathematics; Distribution (Probability theory); Symbolic and mathematical Logic
Description: The chapters in this volume are based on a scientific workshop on the "Applications and Theory of Random Sets". They address theoretical and applied aspects of this field in diverse areas of applications such as Image Modeling and Analysis, Information/Data Fusion, and Theoretical Statistics and Expert Systems. Emphasis is given to potential applications in engineering problems of practical interest. This volume is of interest to mathematicians, engineers and scientists who are interested in the potential application of random set theory to practical problems in imaging, information fusion, and expert systems.
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Table of contents: title: Contents; title: Foreword; title: Preface; title: Part I. Image Modeling and Analysis; title: Morphological analysis of random sets; title: An introduction; title: Statistical problems for random sets; title: On estimating granulometric discrete size distributions of random sets; title: Logical granulometric filtering in the signal-union-clutter; title: On optimal filtering of morphologically smooth discrete random sets and related open problems; title: Part II. Information/Data Fusion and Expert Systems; title: On the maximum of conditonal entropy for upper/lower probabilities generated by random sets; title: Random sets in information fusion; title: An overview Cramer-Rao type bounds for random set problems; title: Random sets in data fusion; title: Multi-object state-estimation and much more.