Unified Methods for Censored Longitudinal Data and Causality

Mark J. van der Laan, M. J. Laan, James M Robins

Springer Science & Business Media, Jan 14, 2003 - Mathematics - 397 pages

During the last decades, there has been an explosion in computation and information technology. This development comes with an expansion of complex observational studies and clinical trials in a variety of fields such as medicine, biology, epidemiology, sociology, and economics among many others, which involve collection of large amounts of data on subjects or organisms over time. The goal of such studies can be formulated as estimation of a finite dimensional parameter of the population distribution corresponding to the observed time-dependent process. Such estimation problems arise in survival analysis, causal inference and regression analysis. This book provides a fundamental statistical framework for the analysis of complex longitudinal data. It provides the first comprehensive description of optimal estimation techniques based on time-dependent data structures subject to informative censoring and treatment assignment in so called semiparametric models. Semiparametric models are particularly attractive since they allow the presence of large unmodeled nuisance parameters. These techniques include estimation of regression parameters in the familiar (multivariate) generalized linear regression and multiplicative intensity models. They go beyond standard statistical approaches by incorporating all the observed data to allow for informative censoring, to obtain maximal efficiency, and by developing estimators of causal effects. It can be used to teach masters and Ph.D. students in biostatistics and statistics and is suitable for researchers in statistics with a strong interest in the analysis of complex longitudinal data.

Contents

• III: 8
• IV: 16
• V: 17
• VI: 21
• VII: 23
• VIII: 27
• IX: 40
• XI: 45
• XII: 48
• XIII: 55
• XV: 61
• XVI: 62
• XVII: 64
• XVIII: 68
• XIX: 69
• XXII: 77
• XXIII: 79
• XXIV: 81
• XXV: 93
• XXVI: 94
• XXVII: 97
• XXVIII: 99
• XXIX: 102
• XXX: 103
• XXXI: 105
• XXXII: 107
• XXXIII: 111
• XXXIV: 114
• XXXVI: 124
• XXXVII: 125
• XXXVIII: 126
• XXXIX: 128
• XL: 131
• XLI: 135
• XLII: 137
• XLIII: 139
• XLIV: 141
• XLV: 142
• XLVI: 144
• XLVII: 145
• XLVIII: 146
• XLIX: 150
• L: 151
• LI: 152
• LII: 153
• LIII: 159
• LIV: 166
• LV: 167
• LVI: 169
• LVII: 170
• LVIII: 172
• LIX: 175
• LX: 176
• LXI: 177
• LXII: 179
• LXIII: 181
• LXIV: 183
• LXVI: 184
• LXVII: 191
• LXVIII: 192
• LXIX: 195
• LXX: 196
• LXXI: 197
• LXXII: 198
• LXXIII: 200
• LXXIV: 201
• LXXV: 204
• LXXVI: 205
• LXXVII: 206
• LXXVIII: 208
• LXXIX: 211
• LXXX: 217
• LXXXI: 221
• LXXXII: 224
• LXXXIII: 225
• LXXXIV: 230
• LXXXV: 232
• LXXXVI: 234
• LXXXVII: 235
• LXXXVIII: 236
• LXXXIX: 239
• XC: 241
• XCI: 243
• XCII: 244
• XCIII: 245
• XCIV: 246
• XCV: 248
• XCVI: 250
• XCVII: 251
• XCVIII: 252
• XCIX: 253
• C: 255
• CI: 256
• CII: 257
• CIV: 258
• CVI: 260
• CVII: 262
• CVIII: 266
• CIX: 268
• CX: 270
• CXI: 271
• CXIII: 273
• CXIV: 275
• CXV: 276
• CXVI: 282
• CXIX: 286
• CXX: 290
• CXXI: 292
• CXXII: 293
• CXXIII: 294
• CXXIV: 299
• CXXV: 302
• CXXVI: 311
• CXXVII: 318
• CXXVIII: 324
• CXXX: 326
• CXXXI: 329
• CXXXII: 334
• CXXXIII: 338
• CXXXIV: 343
• CXXXV: 347
• CXXXVI: 353
• CXXXVII: 357
• CXXXVIII: 359
• CXXXIX: 360
• CXL: 362
• CXLI: 366
• CXLII: 368
• CXLIII: 371
• CXLIV: 388
• CXLV: 394

Popular passages

Page 384 - Zhao, LP ( 1994). Estimation of regression coefficients when some regressors are not always observed.

Page 380 - Newey, WK, 1990. Semiparametric efficiency bounds. Journal of Applied Econometrics 5, 99-135.

Page 371 - Hepatitis C Virus Infection among Injection Drug Users in the United States', Journal of Acquired Immune Deficiency Syndromes and Human Retrovirology 18 (Suppl.

Page 385 - A semiparametric proportional odds regression model for the analysis of current status data, Journal of the American Statistical Association, 91(N434), 713-721.

Page 387 - A Consistent Estimator for the Distribution of Quality Adjusted Survival Time.

Page 384 - The mathematical foundations of confounding in epidemiology, Computers and Mathematics with Applications 14, 869-916.

Page 379 - Lin, DY, Robins, JM, and Wei, LJ (1996), Comparing two failure time distributions in the presence of dependent censoring, Biometrika, 83, 381-393.

Bibliographic information

• Title: Unified Methods for Censored Longitudinal Data and Causality; Springer Series in Statistics, ISSN 0172-7397
• Authors: Mark J. van der Laan, M. J. Laan, James M Robins
• Edition: illustrated
• Publisher: Springer Science & Business Media, 2003
• ISBN: 0387955569, 9780387955568
• Length: 397 pages
• Subjects: Mathematics / Probability & Statistics / General; Mathematics / Probability & Statistics / Stochastic Processes; Medical / Biostatistics