Orthogonal arrays: theory and applications
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1999
|
| Schriftenreihe: | Springer series in statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXII, 416 S. |
| ISBN: | 0387987665 |
Internformat
MARC
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| 245 | 1 | 0 | |a Orthogonal arrays |b theory and applications |c A. S. Hedayat ; N. J. A. Sloane ; John Stufken |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1999 | |
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Datensatz im Suchindex
| _version_ | 1804127344825204736 |
|---|---|
| adam_text | A.S. HEDAYAT NJ.A. SLOANE JOHN STUFKEN ORTHOGONAL ARRAYS THEORY AND
APPLICATIONS SPRINGER CONTENTS PREFACE VII FOREWORD BY C. R. RAO XV LIST
OF SYMBOLS XXIII 1 INTRODUCTION 1 1.1 PROBLEMS 8 2 RAO S INEQUALITIES
AND IMPROVEMENTS 11 2.1 INTRODUCTION 11 2.2 RAO S INEQUALITIES 12 2.3
IMPROVEMENTS ON RAO S BOUNDS FOR STRENGTH 2 AND 3 17 2.4 IMPROVEMENTS ON
RAO S BOUNDS FOR ARRAYS OF INDEX UNITY .... 22 2.5 ORTHOGONAL ARRAYS
WITH TWO LEVELS 27 2.6 CONCLUDING REMARKS 32 2.7 NOTES ON CHAPTER 2 33
2.8 PROBLEMS 33 3 ORTHOGONAL ARRAYS AND GALOIS FIELDS 37 3.1
INTRODUCTION 37 XVII XVIII CONTENTS 3.2 BUSH S CONSTRUCTION 38 3.3
ADDELMAN AND KEMPTHORNE S CONSTRUCTION 44 3.4 THE RAO-HAMMING
CONSTRUCTION 49 3.5 CONDITIONS FOR A MATRIX 54 3.6 CONCLUDING REMARKS 56
3.7 PROBLEMS 56 4 ORTHOGONAL ARRAYS AND ERROR-CORRECTING CODES 61 4.1 AN
INTRODUCTION TO ERROR-CORRECTING CODES 61 4.2 LINEAR CODES 63 4.3 LINEAR
CODES AND LINEAR ORTHOGONAL ARRAYS 65 4.4 WEIGHT ENUMERATORS AND
DELSARTE S THEOREM 67 4.5 THE LINEAR PROGRAMMING BOUND 72 4.6 CONCLUDING
REMARKS 82 4.7 NOTES ON CHAPTER 4 82 4.8 PROBLEMS 85 5 CONSTRUCTION OF
ORTHOGONAL ARRAYS FROM CODES 87 5.1 EXTENDING A CODE BY ADDING MORE
COORDINATES 87 5.2 CYCLIC CODES 88 5.3 THE RAO-HAMMING CONSTRUCTION
REVISITED 91 5.4 BCH CODES 93 5.5 REED-SOLOMON CODES 95 5.6 MDS CODES
AND ORTHOGONAL ARRAYS OF INDEX UNITY 96 5.7 QUADRATIC RESIDUE AND GOLAY
CODES 99 5.8 REED-MULLER CODES /. 99 5.9 CODES FROM FINITE GEOMETRIES
101 CONTENTS XIX 5.10 NORDSTROM-ROBINSON AND RELATED CODES 102 5.11
EXAMPLES OF BINARY CODES AND ORTHOGONAL ARRAYS 103 5.12 EXAMPLES OF
TERNARY CODES AND ORTHOGONAL ARRAYS 105 5.13 EXAMPLES OF QUATERNARY
CODES AND ORTHOGONAL ARRAYS 106 5.14 NOTES ON CHAPTER 5 108 5.15
PROBLEMS 109 6 ORTHOGONAL ARRAYS AND DIFFERENCE SCHEMES 113 6.1
DIFFERENCE SCHEMES 113 6.2 ORTHOGONAL ARRAYS VIA DIFFERENCE SCHEMES 118
6.3 BOSE AND BUSH S RECURSIVE CONSTRUCTION 123 6.4 DIFFERENCE SCHEMES OF
INDEX 2 127 6.5 GENERALIZATIONS AND VARIATIONS 132 6.6 CONCLUDING
REMARKS 138 6.7 NOTES ON CHAPTER 6 140 6.8 PROBLEMS 141 7 ORTHOGONAL
ARRAYS AND HADAMARD MATRICES 145 7.1 INTRODUCTION 145 7.2 BASIC
PROPERTIES OF HADAMARD MATRICES 146 7.3 THE CONNECTION BETWEEN HADAMARD
MATRICES AND ORTHOGONAL ARRAYS 148 7.4 CONSTRUCTIONS FOR HADAMARD
MATRICES 148 7.5 HADAMARD MATRICES OF ORDERS UP TO 200 155 7.6 NOTES ON
CHAPTER 7 163 7.7 PROBLEMS 165 8 ORTHOGONAL ARRAYS AND LATIN SQUARES 167
XX CONTENTS 8.1 LATIN SQUARES AND ORTHOGONAL LATIN SQUARES 168 8.2
FREQUENCY SQUARES AND ORTHOGONAL FREQUENCY SQUARES 173 8.3 ORTHOGONAL
ARRAYS FROM PAIRWISE ORTHOGONAL LATIN SQUARES . . . 183 8.4 CONCLUDING
REMARKS 191 8.5 PROBLEMS 196 9 MIXED ORTHOGONAL ARRAYS 199 9.1
INTRODUCTION 199 9.2 THE RAO INEQUALITIES FOR MIXED ORTHOGONAL ARRAYS
201 9.3 CONSTRUCTING MIXED ORTHOGONAL ARRAYS 203 9.4 FURTHER
CONSTRUCTIONS 211 9.5 NOTES ON CHAPTER 9 219 9.6 PROBLEMS 220 10 FURTHER
CONSTRUCTIONS AND RELATED STRUCTURES 223 10.1 CONSTRUCTIONS INSPIRED BY
CODING THEORY 223 10.2 THE JUXTAPOSITION CONSTRUCTION 224 10.3 THE (IT,
U + V) CONSTRUCTION 225 10.4 CONSTRUCTION X4 226 10.5 ORTHOGONAL ARRAYS
FROM UNION OF TRANSLATES OF A LINEAR CODE . . 228 10.6 BOUNDS ON LARGE
ORTHOGONAL ARRAYS 228 10.7 COMPOUND ORTHOGONAL ARRAYS 230 10.8
ORTHOGONAL MULTI-ARRAYS 236 10.9 TRANSVERSAL DESIGNS, RESILIENT
FUNCTIONS AND NETS 242 10.10 SCHEMATIC ORTHOGONAL ARRAYS 245 10.11
PROBLEMS 246 11 STATISTICAL APPLICATION OF ORTHOGONAL ARRAYS 247
CONTENTS XXI 11.1 FACTORIAL EXPERIMENTS 247 11.2 NOTATION AND
TERMINOLOGY 249 11.3 FACTORIAL EFFECTS 251 11.4 ANALYSIS OF EXPERIMENTS
BASED ON ORTHOGONAL ARRAYS 258 11.5 TWO-LEVEL FRACTIONAL FACTORIALS WITH
A DENNING RELATION 272 11.6 BLOCKING FOR A 2 K ~ N FRACTIONAL FACTORIAL
282 11.7 ORTHOGONAL MAIN-EFFECTS PLANS AND ORTHOGONAL ARRAYS 288 11.8
ROBUST DESIGN 298 11.9 OTHER TYPES OF DESIGNS 302 11.10 NOTES ON CHAPTER
11 305 11.11 PROBLEMS 308 12 TABLES OF ORTHOGONAL ARRAYS 317 12.1 TABLES
OF ORTHOGONAL ARRAYS OF MINIMAL INDEX 317 12.2 DESCRIPTION OF TABLES
12.1-12.3 318 12.3 INDEX TABLES 324 12.4 IF NO SUITABLE ORTHOGONAL ARRAY
IS AVAILABLE 336 12.5 CONNECTIONS WITH OTHER STRUCTURES 338 12.6 OTHER
TABLES 339 APPENDIX A: GALOIS FIELDS 341 A.I DEFINITION OF A FIELD 341
A.2 THE CONSTRUCTION OF GALOIS FIELDS 344 A.3 THE EXISTENCE OF GALOIS
FIELDS 351 A.4 QUADRATIC RESIDUES IN GALOIS FIELDS 357 A.5 PROBLEMS 359
BIBLIOGRAPHY 363 XXII CONTENTS AUTHOR INDEX 406 SUBJECT INDEX 411
|
| any_adam_object | 1 |
| author | Hedayat, Abdossamad 1937- Sloane, Neil J. A. 1939- Stufken, John |
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| bvnumber | BV012683140 |
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| callnumber-raw | QA165.H43 1999 |
| callnumber-search | QA165.H43 1999 |
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| callnumber-subject | QA - Mathematics |
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| dewey-full | 511/.621 511.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 21 511.6 |
| dewey-search | 511/.6 21 511.6 |
| dewey-sort | 3511 16 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T18:31:52Z |
| institution | BVB |
| isbn | 0387987665 |
| language | English |
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| physical | XXII, 416 S. |
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| spelling | Hedayat, Abdossamad 1937- Verfasser (DE-588)172153433 aut Orthogonal arrays theory and applications A. S. Hedayat ; N. J. A. Sloane ; John Stufken New York [u.a.] Springer 1999 XXII, 416 S. txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Orthogonales Array Orthogonal arrays Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Orthogonales Array (DE-588)4560879-9 gnd rswk-swf Orthogonalität (DE-588)4139058-1 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 s Orthogonalität (DE-588)4139058-1 s DE-604 Orthogonales Array (DE-588)4560879-9 s Sloane, Neil J. A. 1939- Verfasser (DE-588)121291553 aut Stufken, John Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008620297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hedayat, Abdossamad 1937- Sloane, Neil J. A. 1939- Stufken, John Orthogonal arrays theory and applications Orthogonales Array Orthogonal arrays Versuchsplanung (DE-588)4078859-3 gnd Orthogonales Array (DE-588)4560879-9 gnd Orthogonalität (DE-588)4139058-1 gnd |
| subject_GND | (DE-588)4078859-3 (DE-588)4560879-9 (DE-588)4139058-1 |
| title | Orthogonal arrays theory and applications |
| title_auth | Orthogonal arrays theory and applications |
| title_exact_search | Orthogonal arrays theory and applications |
| title_full | Orthogonal arrays theory and applications A. S. Hedayat ; N. J. A. Sloane ; John Stufken |
| title_fullStr | Orthogonal arrays theory and applications A. S. Hedayat ; N. J. A. Sloane ; John Stufken |
| title_full_unstemmed | Orthogonal arrays theory and applications A. S. Hedayat ; N. J. A. Sloane ; John Stufken |
| title_short | Orthogonal arrays |
| title_sort | orthogonal arrays theory and applications |
| title_sub | theory and applications |
| topic | Orthogonales Array Orthogonal arrays Versuchsplanung (DE-588)4078859-3 gnd Orthogonales Array (DE-588)4560879-9 gnd Orthogonalität (DE-588)4139058-1 gnd |
| topic_facet | Orthogonales Array Orthogonal arrays Versuchsplanung Orthogonalität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008620297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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