Limit theorems for associated random fields and related systems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
2007
|
| Series: | Advanced series on statistical science & applied probability
10 |
| Subjects: | |
| Online Access: | Table of contents only Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | X, 436 S. graph. Darst. |
| ISBN: | 9789812709400 9812709401 |
Staff View
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| 245 | 1 | 0 | |a Limit theorems for associated random fields and related systems |c Alexander Bulinski & Alexey Shashkin |
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| 490 | 1 | |a Advanced series on statistical science & applied probability |v 10 | |
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Record in the Search Index
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| adam_text | LIMIT THEOREMS FOR ASSOCIATED RANDOM FIELDS AND RELATED SYSTEMS
ALEXANDER BULINSKI & ALEXEY SHASHKIN MOSCOW STATE UNIVERSITY, RUSSIA *
WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI *
HONG KONG * TAIPEI * CHENNAI CONTENTS PREFACE VII 1. RANDOM SYSTEMS WITH
COVARIANCE INEQUALITIES 1 1 BASIC DEFINITIONS AND SIMPLE EXAMPLES 1 2
CLASSES OF ASSOCIATED AND RELATED SYSTEMS 17 3 RANDOM MEASURES 37 4
ASSOCIATION AND PROBABILITY MEASURES ON LATTICES 64 5 FURTHER EXTENSIONS
OF DEPENDENCE NOTIONS 88 2. MOMENT AND MAXIMAL INEQUALITIES 107 1 BOUNDS
FOR PARTIAL SUMS IN THE L P SPACE 108 2 RESULTS BASED ON SUPERMODULAR
ORDER 134 3 ROSENTHAL-TYPE INEQUALITIES 143 4 ESTIMATES FOR THE
DISTRIBUTION FUNCTIONS OF PARTIAL MAXIMA 160 3. CENTRAL LIMIT THEOREM
169 1 SUFFICIENT CONDITIONS FOR NORMAL APPROXIMATION 170 2 THE NEWMAN
CONJECTURE . 197 3 SHARP RATES OF NORMAL APPROXIMATION 215 4. ALMOST
SURE CONVERGENCE 229 1 STRONG LAW OF LARGE NUMBERS 229 2 RATE OF
CONVERGENCE IN THE LLN 233 3 ALMOST SURE GAUSSIAN APPROXIMATION 246 5.
INVARIANCE PRINCIPLES 251 1 WEAK INVARIANCE PRINCIPLE 251 2 STRONG
INVARIANCE PRINCIPLE 263 X LIMIT THEOREMS FOR ASSOCIATED RANDOM FIELDS
AND RELATED SYSTEMS 6. LAW OF THE ITERATED LOGARITHM 283 1 EXTENSIONS OF
THE CLASSICAL LIL 283 2 FUNCTIONAL LIL 298 3 LAW OF A SINGLE LOGARITHM
310 7. STATISTICAL APPLICATIONS 319 1 STATISTICS INVOLVING RANDOM
NORMALIZATION 319 2 KERNEL DENSITY ESTIMATION 338 3 EMPIRICAL PROCESSES
348 8. INTEGRAL FUNCTIONALS 353 1 STATIONARY ASSOCIATED MEASURES 353 2
PDE WITH RANDOM INITIAL DATA 366 3 ASYMPTOTICAL BEHAVIOR OF TRANSFORMED
SOLUTIONS OF THE BURGERS EQUATION 374 APPENDIX A AUXILIARY STATEMENTS
383 A.I EXTENSIONS OF THE HOEFFDING LEMMA 383 A.2 MARKOV PROCESSES.
BACKGROUND 385 A.3 POISSON SPATIAL PROCESS 389 A.4 ELECTRIC CURRENTS 392
A.5 THE MORICZ THEOREM 395 A.6 GAUSSIAN APPROXIMATION 400 BIBLIOGRAPHY
411 NOTATION INDEX 431 SUBJECT INDEX 433
|
| adam_txt |
LIMIT THEOREMS FOR ASSOCIATED RANDOM FIELDS AND RELATED SYSTEMS
ALEXANDER BULINSKI & ALEXEY SHASHKIN MOSCOW STATE UNIVERSITY, RUSSIA *
WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI *
HONG KONG * TAIPEI * CHENNAI CONTENTS PREFACE VII 1. RANDOM SYSTEMS WITH
COVARIANCE INEQUALITIES 1 1 BASIC DEFINITIONS AND SIMPLE EXAMPLES 1 2
CLASSES OF ASSOCIATED AND RELATED SYSTEMS 17 3 RANDOM MEASURES 37 4
ASSOCIATION AND PROBABILITY MEASURES ON LATTICES 64 5 FURTHER EXTENSIONS
OF DEPENDENCE NOTIONS 88 2. MOMENT AND MAXIMAL INEQUALITIES 107 1 BOUNDS
FOR PARTIAL SUMS IN THE L P SPACE 108 2 RESULTS BASED ON SUPERMODULAR
ORDER 134 3 ROSENTHAL-TYPE INEQUALITIES 143 4 ESTIMATES FOR THE
DISTRIBUTION FUNCTIONS OF PARTIAL MAXIMA 160 3. CENTRAL LIMIT THEOREM
169 1 SUFFICIENT CONDITIONS FOR NORMAL APPROXIMATION 170 2 THE NEWMAN
CONJECTURE '. 197 3 SHARP RATES OF NORMAL APPROXIMATION 215 4. ALMOST
SURE CONVERGENCE 229 1 STRONG LAW OF LARGE NUMBERS 229 2 RATE OF
CONVERGENCE IN THE LLN 233 3 ALMOST SURE GAUSSIAN APPROXIMATION 246 5.
INVARIANCE PRINCIPLES 251 1 WEAK INVARIANCE PRINCIPLE 251 2 STRONG
INVARIANCE PRINCIPLE 263 X LIMIT THEOREMS FOR ASSOCIATED RANDOM FIELDS
AND RELATED SYSTEMS 6. LAW OF THE ITERATED LOGARITHM 283 1 EXTENSIONS OF
THE CLASSICAL LIL 283 2 FUNCTIONAL LIL 298 3 LAW OF A SINGLE LOGARITHM
310 7. STATISTICAL APPLICATIONS 319 1 STATISTICS INVOLVING RANDOM
NORMALIZATION 319 2 KERNEL DENSITY ESTIMATION 338 3 EMPIRICAL PROCESSES
348 8. INTEGRAL FUNCTIONALS 353 1 STATIONARY ASSOCIATED MEASURES 353 2
PDE WITH RANDOM INITIAL DATA 366 3 ASYMPTOTICAL BEHAVIOR OF TRANSFORMED
SOLUTIONS OF THE BURGERS EQUATION 374 APPENDIX A AUXILIARY STATEMENTS
383 A.I EXTENSIONS OF THE HOEFFDING LEMMA 383 A.2 MARKOV PROCESSES.
BACKGROUND 385 A.3 POISSON SPATIAL PROCESS 389 A.4 ELECTRIC CURRENTS 392
A.5 THE MORICZ THEOREM 395 A.6 GAUSSIAN APPROXIMATION 400 BIBLIOGRAPHY
411 NOTATION INDEX 431 SUBJECT INDEX 433 |
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| ctrlnum | (OCoLC)141187985 (DE-599)DNB 2007023102 |
| dewey-full | 519.2/3 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| index_date | 2024-07-02T20:00:12Z |
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| institution | BVB |
| isbn | 9789812709400 9812709401 |
| language | English |
| lccn | 2007023102 |
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| physical | X, 436 S. graph. Darst. |
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| publisher | World Scientific |
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| series | Advanced series on statistical science & applied probability |
| series2 | Advanced series on statistical science & applied probability |
| spelling | Bulinskij, Aleksandr V. Verfasser aut Limit theorems for associated random fields and related systems Alexander Bulinski & Alexey Shashkin Singapore [u.a.] World Scientific 2007 X, 436 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advanced series on statistical science & applied probability 10 Includes bibliographical references and index Random fields Limit theorems (Probability theory) Grenzwertsatz (DE-588)4158163-5 gnd rswk-swf Zufälliges Feld (DE-588)4191094-1 gnd rswk-swf Grenzwertsatz (DE-588)4158163-5 s Zufälliges Feld (DE-588)4191094-1 s DE-604 Šaškin, Aleksej Verfasser aut Advanced series on statistical science & applied probability 10 (DE-604)BV011932321 10 http://www.loc.gov/catdir/toc/ecip0719/2007023102.html Table of contents only GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016363696&sequence=000005&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bulinskij, Aleksandr V. Šaškin, Aleksej Limit theorems for associated random fields and related systems Advanced series on statistical science & applied probability Random fields Limit theorems (Probability theory) Grenzwertsatz (DE-588)4158163-5 gnd Zufälliges Feld (DE-588)4191094-1 gnd |
| subject_GND | (DE-588)4158163-5 (DE-588)4191094-1 |
| title | Limit theorems for associated random fields and related systems |
| title_auth | Limit theorems for associated random fields and related systems |
| title_exact_search | Limit theorems for associated random fields and related systems |
| title_exact_search_txtP | Limit theorems for associated random fields and related systems |
| title_full | Limit theorems for associated random fields and related systems Alexander Bulinski & Alexey Shashkin |
| title_fullStr | Limit theorems for associated random fields and related systems Alexander Bulinski & Alexey Shashkin |
| title_full_unstemmed | Limit theorems for associated random fields and related systems Alexander Bulinski & Alexey Shashkin |
| title_short | Limit theorems for associated random fields and related systems |
| title_sort | limit theorems for associated random fields and related systems |
| topic | Random fields Limit theorems (Probability theory) Grenzwertsatz (DE-588)4158163-5 gnd Zufälliges Feld (DE-588)4191094-1 gnd |
| topic_facet | Random fields Limit theorems (Probability theory) Grenzwertsatz Zufälliges Feld |
| url | http://www.loc.gov/catdir/toc/ecip0719/2007023102.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016363696&sequence=000005&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011932321 |
| work_keys_str_mv | AT bulinskijaleksandrv limittheoremsforassociatedrandomfieldsandrelatedsystems AT saskinaleksej limittheoremsforassociatedrandomfieldsandrelatedsystems |