Symmetric positive definite functions with applications in spatial statistics:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English German |
| Veröffentlicht: |
1997
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 107 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
1.1 POSITIVE DEFINITE FUNCTIONS, SYMMETRY, AND SCALE MIXTURES. 1
1.2 APPLICATIONS OF POSITIVE DEFINITE FUNCTIONS. 4
1.3 SCHOENBERG'S CONJECTURE AND DECOMPOSITION THEOREMS FOR || YY
||A-DEPENDENT
POSITIVE DEFINITE FUNCTIONS . 7
2 POSITIVE DEFINITE PROBABILITY DENSITIES 11
2.1 GENERAL REMARKS.'.7.11
2.2 UNCERTAINTY RELATION FOR POSITIVE DEFINITE PROBABILITY DENSITIES.12
2.3 UNCERTAINTY RELATION FOR NORMAL SCALE MIXTURES.14
2.4 MORE ON NORMAL SCALE MIXTURES AND DUAL PROBABILITY DENSITIES.16
3 Q-SYMMETRIC MULTIVARIATE DISTRIBUTIONS 21
3.1 GENERAL REMARKS. 21
3.2 THE CLASSES $N(L) AND $2N-I(2).23
3.3 A-ANALOGUES OF ASKEY'S THEOREM.31
3.4 A-SYMMETRIC DISTRIBUTIONS AND MULTIVARIATE UNIMODALITY.36
4 RADIAL POSITIVE DEFINITE FUNCTIONS GENERATED BY EUCLID'S HAT 38
4.1 GENERAL REMARKS.38
4.2 EUCLID'S HAT,.41
4.3 SCALE MIXTURES OF EUCLID'S HAT.43
4.4 AUXILIARY RESULTS ON MULTIPLY MONOTONE FUNCTIONS AND PROOFS.47
4.5 THE MITTAL-BERMAN CLASS.53
4.6 ASKEY'S CLASS.58
4.7 APPLICATIONS.60
5 ISOTROPIC CORRELATION FUNCTIONS IN SPATIAL STATISTICS 62
5.1 GENERAL REMARKS.62
5.2 BUELL'S LIST OF CORRELATION MODELS.65
5.3 SIMPLE TESTS FOR THE VALIDITY OF CORRELATION FUNCTION MODELS ON THE
CIRCLE . 68
5.4 STRAIGHT LINE FITTING OF ISOTROPIC CORRELATION FUNCTIONS: A CORRECT
PROCEDURE? . 71
6 TWO-DIMENSIONAL SIMULATIONS WITH THE TURNING BANDS RANDOM FIELD GENER
ATOR 77
6.1 GENERAL REMARKS.77
IX
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/951118277
6.2 CLOSED FORM SOLUTIONS OF THE TWO-DIMENSIONAL TURNING BANDS EQUATION
. 78
6.3 ERROR ANALYSIS.85
A ON THE BERNSTEIN-HAUSDORFF-WIDDER CONDITIONS FOR COMPLETELY MONOTONE
FUNCTIONS 94
BIBLIOGRAPHY 96
X |
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| indexdate | 2024-10-09T16:07:55Z |
| institution | BVB |
| language | English German |
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| spelling | Gneiting, Tilmann Verfasser aut Symmetric positive definite functions with applications in spatial statistics vorgelegt von Tilmann Gneiting 1997 X, 107 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bayreuth, Univ., Diss., 1997 Symmetrische Funktion (DE-588)4342453-3 gnd rswk-swf Positiv-definite Funktion (DE-588)4175422-0 gnd rswk-swf Räumliche Statistik (DE-588)4386767-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Positiv-definite Funktion (DE-588)4175422-0 s Symmetrische Funktion (DE-588)4342453-3 s Räumliche Statistik (DE-588)4386767-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007692468&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gneiting, Tilmann Symmetric positive definite functions with applications in spatial statistics Symmetrische Funktion (DE-588)4342453-3 gnd Positiv-definite Funktion (DE-588)4175422-0 gnd Räumliche Statistik (DE-588)4386767-4 gnd |
| subject_GND | (DE-588)4342453-3 (DE-588)4175422-0 (DE-588)4386767-4 (DE-588)4113937-9 |
| title | Symmetric positive definite functions with applications in spatial statistics |
| title_auth | Symmetric positive definite functions with applications in spatial statistics |
| title_exact_search | Symmetric positive definite functions with applications in spatial statistics |
| title_full | Symmetric positive definite functions with applications in spatial statistics vorgelegt von Tilmann Gneiting |
| title_fullStr | Symmetric positive definite functions with applications in spatial statistics vorgelegt von Tilmann Gneiting |
| title_full_unstemmed | Symmetric positive definite functions with applications in spatial statistics vorgelegt von Tilmann Gneiting |
| title_short | Symmetric positive definite functions with applications in spatial statistics |
| title_sort | symmetric positive definite functions with applications in spatial statistics |
| topic | Symmetrische Funktion (DE-588)4342453-3 gnd Positiv-definite Funktion (DE-588)4175422-0 gnd Räumliche Statistik (DE-588)4386767-4 gnd |
| topic_facet | Symmetrische Funktion Positiv-definite Funktion Räumliche Statistik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007692468&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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