Special inequalities for Poisson and Cox hyperplane processes:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2001
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Jena, Univ., Diss., 2001 |
| Beschreibung: | 102, 5 Bl. graph. Darst. : 30 cm |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text |
CONTENTS
INTRODUCTION 2
1 PRELIMINARIES 4
1.1 HYPERPLANE PROCESSES AND SECONDARY QUANTITIES. 4
1.1.1 DEFINITION OF HYPERPLANE PROCESSES. 4
1.1.2 THE INTENSITY MEASURE. 6
1.1.3 THE INTERSECTION DENSITIES . . 6
1.1.4 THE 0-POLYTOPE . . .
7
.
. 7
1.1.5 THE TYPICAL POLYTOPE. 7
1.2 THE STEINER COMPACT SET AND FUNDAMENTAL GEOMETRIC NOTIONS . 8
1.3 STATIONARY POISSON HYPERPLANE PROCESSES. 11
2 THE MOMENTS OF THE VOLUME OF THE 0-POLYTOPE OF SPHP 15
2.1 ESTIMATION OF THE MOMENTS OF THE VOLUME OF THE 0-POLYTOPE . . 15
2.2 A FORMULA FOR THE EXPECTED VOLUME OF THE 0-POLYTOPE. 19
2.3 CHARACTERISTICS FOR REGULAR POISSON PLANE PROCESSES IN R3 . 22
2.3.1 GENERAL CASE. 22
2.3.2 APPLICATION TO 3 REGULAR DIRECTIONS . 25
2.3.3 APPLICATION TO 4 REGULAR DIRECTIONS . 26
2.3.4 APPLICATION TO 6 REGULAR DIRECTIONS . 28
2.3.5 APPLICATION TO 10 REGULAR DIRECTIONS. 29
2.3.6 CONCLUSION. 32
3 THE INTERSECTION DENSITIES OF THE SUPERPOSITION OF THINNED SPHP 34
3.1 GEOMETRIC FOUNDATIONS. 35
3.2 GEOMETRIC INEQUALITIES. 38
3.3 APPLICATION TO SPHP.
T
. 63
4 COX PROCESS AND ASSOCIATED POISSON PROCESS 75
4.1 INEQUALITIES FOR RANDOM CONVEX SETS. 76
4.2 CONSEQUENCES FOR INTERSECTION DENSITIES AND RELATED QUANTITIES .
81
4.3 CONSEQUENCES FOR THE TYPICAL AND THE 0-POLYTOPE. 85
4.4 AN EXAMPLE. 93
BIBLIOGRAPHY 99
LIST OF SYMBOLS 101
1
BIBLIOGRAFISCHE INFORMATIONEN
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| indexdate | 2024-10-09T18:05:54Z |
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| language | English |
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| spelling | Schwella, Antje 1973- Verfasser (DE-588)123562651 aut Special inequalities for Poisson and Cox hyperplane processes von Antje Schwella 2001 102, 5 Bl. graph. Darst. : 30 cm txt rdacontent n rdamedia nc rdacarrier Jena, Univ., Diss., 2001 Hochschulschrift gtt Hyperebene gtt Parkettierung gtt Poisson-Prozess gtt Stochastische Geometrie gtt Stochastische Geometrie (DE-588)4133202-7 gnd rswk-swf Hyperebene (DE-588)4161050-7 gnd rswk-swf Poisson-Prozess (DE-588)4174971-6 gnd rswk-swf Parkettierung (DE-588)4126296-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Stochastische Geometrie (DE-588)4133202-7 s Parkettierung (DE-588)4126296-7 s Poisson-Prozess (DE-588)4174971-6 s Hyperebene (DE-588)4161050-7 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009752573&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schwella, Antje 1973- Special inequalities for Poisson and Cox hyperplane processes Hochschulschrift gtt Hyperebene gtt Parkettierung gtt Poisson-Prozess gtt Stochastische Geometrie gtt Stochastische Geometrie (DE-588)4133202-7 gnd Hyperebene (DE-588)4161050-7 gnd Poisson-Prozess (DE-588)4174971-6 gnd Parkettierung (DE-588)4126296-7 gnd |
| subject_GND | (DE-588)4133202-7 (DE-588)4161050-7 (DE-588)4174971-6 (DE-588)4126296-7 (DE-588)4113937-9 |
| title | Special inequalities for Poisson and Cox hyperplane processes |
| title_auth | Special inequalities for Poisson and Cox hyperplane processes |
| title_exact_search | Special inequalities for Poisson and Cox hyperplane processes |
| title_full | Special inequalities for Poisson and Cox hyperplane processes von Antje Schwella |
| title_fullStr | Special inequalities for Poisson and Cox hyperplane processes von Antje Schwella |
| title_full_unstemmed | Special inequalities for Poisson and Cox hyperplane processes von Antje Schwella |
| title_short | Special inequalities for Poisson and Cox hyperplane processes |
| title_sort | special inequalities for poisson and cox hyperplane processes |
| topic | Hochschulschrift gtt Hyperebene gtt Parkettierung gtt Poisson-Prozess gtt Stochastische Geometrie gtt Stochastische Geometrie (DE-588)4133202-7 gnd Hyperebene (DE-588)4161050-7 gnd Poisson-Prozess (DE-588)4174971-6 gnd Parkettierung (DE-588)4126296-7 gnd |
| topic_facet | Hochschulschrift Hyperebene Parkettierung Poisson-Prozess Stochastische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009752573&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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