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001 | 291541 | ||
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008 | 150903s2005 xxk| o |||| 0|eng d | ||
020 |
_a9781846281501 _99781846281501 |
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024 | 7 |
_a10.1007/1846281504 _2doi |
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_a201509030252 _bVLOAD _c201404120949 _dVLOAD _c201404090727 _dVLOAD _y201402061202 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA273.A1-274.9 | |
100 | 1 |
_aMolchanov, Ilya. _eautor _9322900 |
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245 | 1 | 0 |
_aTheory of Random Sets / _cby Ilya Molchanov. |
264 | 1 |
_aLondon : _bSpringer London, _c2005. |
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300 |
_axvI, 488 páginas 33 ilustraciones _brecurso en línea. |
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336 |
_atexto _btxt _2rdacontent |
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337 |
_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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347 |
_aarchivo de texto _bPDF _2rda |
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490 | 0 |
_aProbability and Its Applications, _x1431-7028 |
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500 | _aSpringer eBooks | ||
505 | 0 | _aRandom 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. | |
520 | _aStochastic 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, set-valued analysis, and statistical inference of the 1990s. The book is entirely self-contained, 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, set-valued 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. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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776 | 0 | 8 |
_iEdición impresa: _z9781852338923 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/1-84628-150-4 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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