Theory of Random Sets [electronic resource] / by Ilya Molchanov.
By: Molchanov, Ilya [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextSeries: Probability and Its Applications: Publisher: London : Springer London, 2005Description: XVI, 488 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781846281501.Subject(s): Distribution (Probability theory  Mathematics  Statistics  Computer engineering  Economic theory  Probability Theory and Stochastic Processes  Game Theory, Economics, Social and Behav. Sciences  Theoretical, Mathematical and Computational Physics  Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences  Electrical Engineering  Economic Theory/Quantitative Economics/Mathematical MethodsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 519.2 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB973 
Random Closed Sets and Capacity Functionals  Expectations of Random Sets  Minkowski Addition  Unions of Random Sets  Random Sets and Random Functions. Appendices: Topological Spaces  Linear Spaces  Space of Closed Sets  Compact Sets and the Hausdorff Metric  Multifunctions and Continuity  Measures and Probabilities  Capacities  Convex Sets  Semigroups and Harmonic Analysis  Regular Variation. References  List of Notation  Name Index  Subject Index.
Stochastic geometry is a relatively new branch of mathematics. Although its predecessors such as geometric probability date back to the 18th century, the formal concept of a random set was developed in the beginning of the 1970s. Theory of Random Sets presents a state of the art treatment of the modern theory, but it does not neglect to recall and build on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, setvalued analysis, and statistical inference of the 1990s. The book is entirely selfcontained, systematic and exhaustive, with the full proofs that are necessary to gain insight. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time, fixes terminology and notation that are often varying in the current literature to establish it as a natural part of modern probability theory, and to provide a platform for future development. An extensive, searchable bibliography to accompany the book is freely available via the web. The book will be an invaluable reference for probabilists, mathematicians in convex and integral geometry, setvalued analysis, capacity and potential theory, mathematical statisticians in spatial statistics and image analysis, specialists in mathematical economics, and electronic and electrical engineers interested in image analysis.
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Theory of random sets by Molchanov Ilya 
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