Inequalities in analysis and probability:
"The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Publishing Co. Pte Ltd.
c2017
|
| Edition: | 2nd ed |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | "The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of many new results are presented in great detail. Original tools are developed for spatial point processes and stochastic integration with respect to local martingales in the plane. This second edition covers properties of random variables and time continuous local martingales with a discontinuous predictable compensator, with exponential inequalities and new inequalities for their maximum variable and their p-variations. A chapter on stochastic calculus presents the exponential sub-martingales developed for stationary processes and their properties. Another chapter devoted itself to the renewal theory of processes and to semi-Markovian processes, branching processes and shock processes. The Chapman–Kolmogorov equations for strong semi-Markovian processes provide equations for their hitting times in a functional setting which extends the exponential properties of the Markovian processes."--Publisher's website |
| Item Description: | Title from PDF file title page (viewed November 17, 2016) |
| Physical Description: | 1 online resource (309 p.) ill |
| ISBN: | 9789813143999 |
Staff View
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Record in the Search Index
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| author | Pons, Odile |
| author_facet | Pons, Odile |
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| dewey-full | 512.9/7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9/7 |
| dewey-search | 512.9/7 |
| dewey-sort | 3512.9 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2nd ed |
| format | Electronic eBook |
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| id | DE-604.BV044637341 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:51Z |
| institution | BVB |
| isbn | 9789813143999 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030035312 |
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| physical | 1 online resource (309 p.) ill |
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| publishDate | 2017 |
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| spelling | Pons, Odile Verfasser aut Inequalities in analysis and probability Odile Pons 2nd ed Singapore World Scientific Publishing Co. Pte Ltd. c2017 1 online resource (309 p.) ill txt rdacontent c rdamedia cr rdacarrier Title from PDF file title page (viewed November 17, 2016) "The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of many new results are presented in great detail. Original tools are developed for spatial point processes and stochastic integration with respect to local martingales in the plane. This second edition covers properties of random variables and time continuous local martingales with a discontinuous predictable compensator, with exponential inequalities and new inequalities for their maximum variable and their p-variations. A chapter on stochastic calculus presents the exponential sub-martingales developed for stationary processes and their properties. Another chapter devoted itself to the renewal theory of processes and to semi-Markovian processes, branching processes and shock processes. The Chapman–Kolmogorov equations for strong semi-Markovian processes provide equations for their hitting times in a functional setting which extends the exponential properties of the Markovian processes."--Publisher's website Inequalities (Mathematics) Electronic books Ungleichung (DE-588)4139098-2 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Integrationstheorie (DE-588)4138369-2 gnd rswk-swf Analysis (DE-588)4001865-9 s Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Integrationstheorie (DE-588)4138369-2 s Ungleichung (DE-588)4139098-2 s 1\p DE-604 http://www.worldscientific.com/worldscibooks/10.1142/10139#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pons, Odile Inequalities in analysis and probability Inequalities (Mathematics) Electronic books Ungleichung (DE-588)4139098-2 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Analysis (DE-588)4001865-9 gnd Integrationstheorie (DE-588)4138369-2 gnd |
| subject_GND | (DE-588)4139098-2 (DE-588)4079013-7 (DE-588)4001865-9 (DE-588)4138369-2 |
| title | Inequalities in analysis and probability |
| title_auth | Inequalities in analysis and probability |
| title_exact_search | Inequalities in analysis and probability |
| title_full | Inequalities in analysis and probability Odile Pons |
| title_fullStr | Inequalities in analysis and probability Odile Pons |
| title_full_unstemmed | Inequalities in analysis and probability Odile Pons |
| title_short | Inequalities in analysis and probability |
| title_sort | inequalities in analysis and probability |
| topic | Inequalities (Mathematics) Electronic books Ungleichung (DE-588)4139098-2 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Analysis (DE-588)4001865-9 gnd Integrationstheorie (DE-588)4138369-2 gnd |
| topic_facet | Inequalities (Mathematics) Electronic books Ungleichung Wahrscheinlichkeitstheorie Analysis Integrationstheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/10139#t=toc |
| work_keys_str_mv | AT ponsodile inequalitiesinanalysisandprobability |