The Statistical Analysis of Doubly Truncated Data. Prof Carla Moreira

      

      Table of Contents

      1  Cover

      2  Title Page

      3  Copyright

      4  Dedication

      5  Preface

      6  List of Abbreviations

      7  Notation

      8  1 Introduction 1.1 Random Truncation 1.2 One‐sided Truncation 1.3 Double Truncation 1.4 Real Data Examples References

      9  2 One‐Sample Problems 2.1 Nonparametric Estimation of a Distribution Function 2.2 Semiparametric and Parametric Approaches 2.3 R Code for the Examples References

      10  3 Smoothing Methods 3.1 Some Background in Kernel Estimation 3.2 Estimating the Density Function 3.3 Asymptotic Properties 3.4 Data‐driven Bandwidth Selection 3.5 Further Issues in Kernel Density Estimation 3.6 Estimating the Hazard Function 3.7 R Code for the Examples References

      11  4 Regression Analysis 4.1 Observational Bias in Regression 4.2 Proportional Hazards Regression 4.3 Accelerated Failure Time Regression 4.4 Nonparametric Regression 4.5 R Code for the Examples References

      12  5 Further Topics 5.1 Two‐Sample Problems 5.2 Competing Risks 5.3 Testing for Quasi‐independence 5.4 Dependent Truncation 5.5 R Code for the Examples References

      13  A: Packages and Functions in R A.1 Computing the NPMLE and Standard Errors A.2 Assessing the Existence and Uniqueness of the NPMLE A.3 Semiparametric and Parametric Estimation A.4 Kernel Estimation A.5 Regression Analysis A.6 Competing Risks A.7 Simulating Data A.8 Testing Quasi‐independence A.9 Dependent Truncation References

      14  Index

      15  End User License Agreement

      List of Tables

      1 Chapter 1Table 1.1 Descriptive statistics for Childhood Cancer Data: sample size

and...Table 1.2 Descriptive statistics for the AIDS Blood Transfusion Data: sample...Table 1.3 Years to failure and number of failing units for the Equipment‐S R...Table 1.4 Descriptive statistics for the Quasar Data. Luminosity in log‐scal...Table 1.5 Parkinson's Disease Data: age of onset for genetic groups. Early o...Table 1.6 Descriptive statistics for the ACS Data. Sample size

and mean (an...

      2 Chapter 2Table 2.1 (Example 2.1.19). Bias and standard deviation (SD) of

and of the ...Table 2.2 Standard error estimation by bootstrap methods, for the simulation...Table 2.3 Standard error estimation by bootstrap methods, for the simulation...Table 2.4 Confidence interval estimation by bootstrap methods, for the simul...Table 2.5 Confidence interval estimation by bootstrap methods, for the simul...Table 2.6 Simulation results for Example 2.2.3: Monte Carlo variance of the ...Table 2.7 Example 2.2.4. Analytical calculations for the asymptotic efficien...

      3 Chapter 3Table 3.1 (Simulated scenarios I and II, Example 3.3.3). Optimal bandwidths ...Table 3.2 (Simulated