Billingsley dimension in probability spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1981
|
| Series: | Lecture notes in mathematics
892 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 104 S. |
| ISBN: | 3540111646 0387111646 |
Staff View
MARC
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Introduction 1
Chapter I P-dimension 7
§ 1 Preliminaries, notation, terminology 7
l.A Generalities 7
l.B The sequence space tr 9
§ 2 The P-dimension of sets 13
§ 3 Connections between P-dimension, Billingsley dimension
and Hausdorff dimension 30
§ 4 The quasimetric q and the metric q* 38
4.A The quasimetric q 38
4.B The metric q* 43
§ 5 The P-dimension of probability measures 47
Chapter II The Billingsley dimension of saturated sets 52
§ 6 Introductory arguments 52
6.A The saturated subsets of X 52
6.B (H, d) as sequence space 54
6.C Markov measures 57
6.D Generalizations with respect to P 59
6.E Special functions 60
§ 7 The Billingsley dimension of the smallest saturated sets ... 62
§ 8 The Billingsley dimension of saturated sets 75
§ 9 The Billingsley dimension of special sets 84
References 102
Index of Symbols 105
Index of Terms 106
|
| any_adam_object | 1 |
| author | Cajar, Helmut |
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| dewey-search | 512/.7 510 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV002265069 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:02Z |
| institution | BVB |
| isbn | 3540111646 0387111646 |
| language | English |
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| physical | 104 S. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Cajar, Helmut Verfasser aut Billingsley dimension in probability spaces Helmut Cajar Berlin [u.a.] Springer 1981 104 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 892 Dimension, Théorie de la (Algèbre) Nombres, Théorie probabiliste des Dimension theory (Algebra) Probabilistic number theory Wahrscheinlichkeitsraum (DE-588)4410515-0 gnd rswk-swf Billingsley-Dimension (DE-588)4145524-1 gnd rswk-swf Wahrscheinlichkeitsraum (DE-588)4410515-0 s Billingsley-Dimension (DE-588)4145524-1 s DE-604 Lecture notes in mathematics 892 (DE-604)BV000676446 892 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488469&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cajar, Helmut Billingsley dimension in probability spaces Lecture notes in mathematics Dimension, Théorie de la (Algèbre) Nombres, Théorie probabiliste des Dimension theory (Algebra) Probabilistic number theory Wahrscheinlichkeitsraum (DE-588)4410515-0 gnd Billingsley-Dimension (DE-588)4145524-1 gnd |
| subject_GND | (DE-588)4410515-0 (DE-588)4145524-1 |
| title | Billingsley dimension in probability spaces |
| title_auth | Billingsley dimension in probability spaces |
| title_exact_search | Billingsley dimension in probability spaces |
| title_full | Billingsley dimension in probability spaces Helmut Cajar |
| title_fullStr | Billingsley dimension in probability spaces Helmut Cajar |
| title_full_unstemmed | Billingsley dimension in probability spaces Helmut Cajar |
| title_short | Billingsley dimension in probability spaces |
| title_sort | billingsley dimension in probability spaces |
| topic | Dimension, Théorie de la (Algèbre) Nombres, Théorie probabiliste des Dimension theory (Algebra) Probabilistic number theory Wahrscheinlichkeitsraum (DE-588)4410515-0 gnd Billingsley-Dimension (DE-588)4145524-1 gnd |
| topic_facet | Dimension, Théorie de la (Algèbre) Nombres, Théorie probabiliste des Dimension theory (Algebra) Probabilistic number theory Wahrscheinlichkeitsraum Billingsley-Dimension |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488469&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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