Statistical models based on counting processes:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
1997
|
| Ausgabe: | Corr. 2. print. |
| Schriftenreihe: | Springer series in statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 715 - 746 |
| Beschreibung: | XI, 767 S. graph. Darst. |
| ISBN: | 0387978720 3540978720 0387945199 |
Internformat
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Datensatz im Suchindex
| _version_ | 1817681124318511104 |
|---|---|
| adam_text |
PER KRAGH ANDERSEN 0RNULF BORGAN RICHARD D. GILL NIELS KEIDING
STATISTICAL MODELS BASED ON COUNTING PROCESSES WITH 128 ILLUSTRATIONS
SPRINGER CONTENTS PREFACE V I. INTRODUCTION 1 1.1 GENERAL INTRODUCTION
TO THE BOOK 1 1.2 BRIEF SURVEY OF THE DEVELOPMENT OF THE SUBJECT 6 1.3
PRESENTATION OF PRACTICAL EXAMPLES 10 II. THE MATHEMATICAL BACKGROUND 45
II. 1 AN INFORMAL INTRODUCTION TO THE BASIC CONCEPTS 48 11.2
PRELIMINARIES: PROCESSES, FILTRATIONS, AND STOPPING TIMES 59 11.3
MARTINGALE THEORY 64 11.4 COUNTING PROCESSES 72 11.5 LIMIT THEORY 82
11.6 PRODUCT-INTEGRATION AND MARKOV PROCESSES 88 11.7 LIKELIHOODS AND
PARTIAL LIKELIHOODS FOR COUNTING PROCESSES 95 11.8 THE FUNCTIONAL
DELTA-METHOD 109 11.9 BIBLIOGRAPHIC REMARKS 115 III. MODEL SPECIFICATION
AND CENSORING 121 IH.L EXAMPLES OF COUNTING PROCESS MODELS FOR COMPLETE
LIFE HISTORY DATA. THE MULTIPLICATIVE INTENSITY MODEL 122 111.2
RIGHT-CENSORING 135 111.3 LEFT-TRUNCATION 152 111.4 GENERAL CENSORSHIP,
FILTERING, AND TRUNCATION 161 III. 5 PARTIAL MODEL SPECIFICATION.
TIME-DEPENDENT COVARIATES 168 III.6 BIBLIOGRAPHIC REMARKS 172 CONTENTS
IV. NONPARAMETRIC ESTIMATION 176 IV. 1 THE NELSON-AALEN ESTIMATOR 177
IV.2 SMOOTHING THE NELSON-AALEN ESTIMATOR 229 IV.3 THE KAPLAN-MEIER
ESTIMATOR 255 IV.4 THE PRODUCT-LIMIT ESTIMATOR FOR THE TRANSITION MATRIX
OF A NONHOMOGENEOUS MARKOV PROCESS 287 IV. 5 BIBLIOGRAPHIC REMARKS 321
V. NONPARAMETRIC HYPOTHESIS TESTING 332 V.I ONE-SAMPLE TESTS 333 V.2
FC-SAMPLE TESTS 345 V.3 OTHER LINEAR NONPARAMETRIC TESTS 379 V.4 USING
THE COMPLETE TEST STATISTIC PROCESS 390 V.5 BIBLIOGRAPHIC REMARKS 397
VI. PARAMETRIC MODELS 401 VI. 1 MAXIMUM LIKELIHOOD ESTIMATION 402 VI.2
M-ESTIMATORS 433 VI.3 MODEL CHECKING 444 VI.4 BIBLIOGRAPHIC REMARKS 471
VII. REGRESSION MODELS 476 VII. 1 INTRODUCTION. REGRESSION MODEL
FORMULATION 476 VII.2 SEMIPARAMETRIC MULTIPLICATIVE HAZARD MODELS 481
VII.3 GOODNESS-OF-FIT METHODS FOR THE SEMIPARAMETRIC MULTIPLICATIVE
HAZARD MODEL 539 VII.4 NONPARAMETRIC ADDITIVE HAZARD MODELS 562 VII.5
OTHER NON- AND SEMI-PARAMETRIC REGRESSION MODELS 578 VII.6 PARAMETRIC
REGRESSION MODELS 583 VII.7 BIBLIOGRAPHIC REMARKS 588 VIII. ASYMPTOTIC
EFFICIENCY 592 VIII. 1 CONTIGUITY AND LOCAL ASYMPTOTIC NORMALITY 594
VIII.2 LOCAL ASYMPTOTIC NORMALITY IN COUNTING PROCESS MODELS 607 VIII.3
INFINITE-DIMENSIONAL PARAMETER SPACES: THE GENERAL THEORY 627 VIII.4
SEMIPARAMETRIC COUNTING PROCESS MODELS 635 VIH.5 BIBLIOGRAPHIC REMARKS *
656 IX. FRAILTY MODELS 660 IX. 1 INTRODUCTION 660 IX.2 MODEL
CONSTRUCTION 662 IX.3 LIKELIHOODS AND INTENSITIES 664 CONTENTS XI IX.4
PARAMETRIC AND NONPARAMETRIC MAXIMUM LIKELIHOOD ESTIMATION WITH THE
EM-ALGORITHM 667 IX.5 BIBLIOGRAPHIC REMARKS 673 X. MULTIVARIATE TIME
SCALES 675 X.1 EXAMPLES OF SEVERAL TIME SCALES 676 X.2 SEQUENTIAL
ANALYSIS OF CENSORED SURVIVAL DATA WITH STAGGERED ENTRY 683 X.3
NONPARAMETRIC ESTIMATION OF THE MULTIVARIATE SURVIVAL FUNCTION 688 X.4
BIBLIOGRAPHIC REMARKS 706 APPENDIX THE MELANOMA SURVIVAL DATA AND
STANDARD MORTALITY TABLES FOR THE DANISH POPULATION 1971-75 709
REFERENCES 715 AUTHOR INDEX 747 SUBJECT INDEX 755 |
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| dewey-full | 519.5 519.2/3 |
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| discipline | Psychologie Mathematik |
| edition | Corr. 2. print. |
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| indexdate | 2024-12-06T09:03:22Z |
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| isbn | 0387978720 3540978720 0387945199 |
| language | German |
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| physical | XI, 767 S. graph. Darst. |
| publishDate | 1997 |
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| publisher | Springer |
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| series2 | Springer series in statistics |
| spelling | Statistical models based on counting processes Per Kragh Andersen ... Corr. 2. print. New York [u.a.] Springer 1997 XI, 767 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Literaturverz. S. 715 - 746 Mathematical statistics Point processes Punktprozess (DE-588)4138173-7 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 s Punktprozess (DE-588)4138173-7 s DE-604 Statistik (DE-588)4056995-0 s 1\p DE-604 Andersen, Per Kragh Sonstige oth HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007683460&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Statistical models based on counting processes Mathematical statistics Point processes Punktprozess (DE-588)4138173-7 gnd Statistisches Modell (DE-588)4121722-6 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4138173-7 (DE-588)4121722-6 (DE-588)4056995-0 |
| title | Statistical models based on counting processes |
| title_auth | Statistical models based on counting processes |
| title_exact_search | Statistical models based on counting processes |
| title_full | Statistical models based on counting processes Per Kragh Andersen ... |
| title_fullStr | Statistical models based on counting processes Per Kragh Andersen ... |
| title_full_unstemmed | Statistical models based on counting processes Per Kragh Andersen ... |
| title_short | Statistical models based on counting processes |
| title_sort | statistical models based on counting processes |
| topic | Mathematical statistics Point processes Punktprozess (DE-588)4138173-7 gnd Statistisches Modell (DE-588)4121722-6 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Mathematical statistics Point processes Punktprozess Statistisches Modell Statistik |
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