LEADER 04827nam 2200745 a 450 001 9910139565803321 005 20180612234946.0 010 $a1-283-33236-1 010 $a9786613332363 010 $a1-118-15067-8 010 $a1-118-15066-X 035 $a(CKB)2550000000062026 035 $a(EBL)818803 035 $a(OCoLC)775361161 035 $a(SSID)ssj0000550640 035 $a(PQKBManifestationID)12233704 035 $a(PQKBTitleCode)TC0000550640 035 $a(PQKBWorkID)10509445 035 $a(PQKB)10917523 035 $a(SSID)ssj0000648613 035 $a(PQKBManifestationID)11399054 035 $a(PQKBTitleCode)TC0000648613 035 $a(PQKBWorkID)10600936 035 $a(PQKB)11638355 035 $a(MiAaPQ)EBC818803 035 $a(EXLCZ)992550000000062026 100 $a20111117d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCounting processes and survival analysis$b[electronic resource] /$fThomas R. Fleming, David P. Harrington 210 $aHoboken, N.J. $cWiley-Interscience$d2005 215 $a1 online resource (454 p.) 225 1 $aWiley series in probability and statistics 300 $aDescription based upon print version of record. 311 $a0-471-76988-6 311 $a0-471-52218-X 320 $aIncludes bibliographical references and indexes. 327 $a2.4 Stochastic Integrals with Respect to Local Martingales2.5 Continuous Compensators; 2.6 Compensators with Discontinuities; 2.7 Summary; 2.8 Bibliographic Notes; 3. Finite Sample Moments and Large Sample Consistency of Tests and Estimators; 3.1 Introduction; 3.2 Nonparametric Estimation of the Survival Distribution; 3.3 Some Finite Sample Properties of Linear Rank Statistics; 3.4 Consistency of the Kaplan-Meier Estimator; 3.5 Bibliographic Notes; 4. Censored Data Regression Models and Their Application; 4.1 Introduction; 4.2 The Proportional Hazards and Multiplicative Intensity Models 327 $a4.3 Partial Likelihood Inference4.4 Applications of Partial Likelihood Methods; 4.5 Martingale Residuals; 4.6 Applications of Residual Methods; 4.7 Bibliographic Notes; 5. Martingale Central Limit Theorem; 5.1 Preliminaries and Motivation; 5.2 Convergence of Martingale Difference Arrays; 5.3 Weak Convergence of the Process, U(n); 5.4 Bibliographic Notes; 6. Large Sample Results of the Kaplan-Meier Estimator; 6.1 Introduction; 6.2 A Large Sample Result for Kaplan-Meier and Weighted Logrank Statistics; 6.3 Confidence Bands for the Survival Distribution; 6.4 Bibliographic Notes 327 $a7. Weighted Logrank Statistics7.1 Introduction; 7.2 Large Sample Null Distribution; 7.3 Consistency of Tests of the Class ?; 7.4 Efficiencies of Tests of the Class ?; 7.5 Some Versatile Test Procedures; 7.6 Bibliographic Notes; 8. Distribution Theory for Proportional Hazards Regression; 8.1 Introduction; 8.2 The Partial Likelihood Score Statistic; 8.3 Estimators of the Regression Parameters and the Cumulative Hazard Function; 8.4 The Asymptotic Theory for Simple Models; 8.5 Asymptotic Relative Efficiency of Partial Likelihood Inference in the Proportional Hazards Model 327 $a8.6 Bibliographic NotesAppendix A. Some Results from Stieltjes Integration and Probability Theory; Appendix B. An Introduction to Weak Convergence; Appendix C. The Martingale Central Limit Theorem: Some Preliminaries; Appendix D. Data; Appendix E. Exercises; Bibliography; Notation; Author Index; Subject Index 330 $aThe Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.""The book is a valuable completion of the literature in this field. It is written in an ambitious mathematical style and can be recommended to statisticians as well as biostatisticians.""-Biometrische Zeitschrift