{"product_id":"the-statistical-analysis-of-doubly-truncated-data-9781119951377","title":"The Statistical Analysis of Doubly Truncated Data","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eList of Abbreviations xiii\u003c\/p\u003e \u003cp\u003eNotation xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction \u003c\/b\u003e\u003cb\u003e1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Random Truncation 1\u003c\/p\u003e \u003cp\u003e1.2 One-sided Truncation 2\u003c\/p\u003e \u003cp\u003e1.2.1 Left-truncation 2\u003c\/p\u003e \u003cp\u003e1.2.2 Right-truncation 2\u003c\/p\u003e \u003cp\u003e1.2.3 Truncation vs. Censoring 3\u003c\/p\u003e \u003cp\u003e1.3 Double Truncation 3\u003c\/p\u003e \u003cp\u003e1.4 Real Data Examples 5\u003c\/p\u003e \u003cp\u003e1.4.1 Childhood Cancer Data 5\u003c\/p\u003e \u003cp\u003e1.4.2 AIDS Blood Transfusion Data 6\u003c\/p\u003e \u003cp\u003e1.4.3 Equipment-S Rounded Failure Time Data 7\u003c\/p\u003e \u003cp\u003e1.4.4 Quasar Data 7\u003c\/p\u003e \u003cp\u003e1.4.5 Parkinson’s Disease Data 8\u003c\/p\u003e \u003cp\u003e1.4.6 Acute Coronary Syndrome Data 9\u003c\/p\u003e \u003cp\u003eReferences 10\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 One-Sample Problems \u003c\/b\u003e\u003cb\u003e13\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Nonparametric Estimation of a Distribution Function 13\u003c\/p\u003e \u003cp\u003e2.1.1 The NPMLE 14\u003c\/p\u003e \u003cp\u003e2.1.2 Numerical Algorithms for Computing the NPMLE 21\u003c\/p\u003e \u003cp\u003e2.1.3 Theoretical Properties of the NPMLE 24\u003c\/p\u003e \u003cp\u003e2.1.4 Standard Errors and Confidence Limits 36\u003c\/p\u003e \u003cp\u003e2.2 Semiparametric and Parametric Approaches 43\u003c\/p\u003e \u003cp\u003e2.2.1 Semiparametric Approach 44\u003c\/p\u003e \u003cp\u003e2.2.2 Parametric Approach 52\u003c\/p\u003e \u003cp\u003e2.3 R Code for the Examples 56\u003c\/p\u003e \u003cp\u003e2.3.1 Code for Example 2.1.8 56\u003c\/p\u003e \u003cp\u003e2.3.2 Code for Examples 2.1.11 and 2.1.13 56\u003c\/p\u003e \u003cp\u003e2.3.3 Code for Example 2.1.14 58\u003c\/p\u003e \u003cp\u003e2.3.4 Code for Example 2.1.15 59\u003c\/p\u003e \u003cp\u003e2.3.5 Code for Example 2.1.22 60\u003c\/p\u003e \u003cp\u003e2.3.6 Code for Example 2.2.6 61\u003c\/p\u003e \u003cp\u003e2.3.7 Code for Example 2.2.8 62\u003c\/p\u003e \u003cp\u003eReferences 65\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Smoothing Methods \u003c\/b\u003e\u003cb\u003e69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Some Background in Kernel Estimation 69\u003c\/p\u003e \u003cp\u003e3.2 Estimating the Density Function 71\u003c\/p\u003e \u003cp\u003e3.3 Asymptotic Properties 71\u003c\/p\u003e \u003cp\u003e3.4 Data-driven Bandwidth Selection 77\u003c\/p\u003e \u003cp\u003e3.4.1 Normal Reference Bandwidth Selection 78\u003c\/p\u003e \u003cp\u003e3.4.2 Plug-in Bandwidth Selection 79\u003c\/p\u003e \u003cp\u003e3.4.3 Least-squares Cross-validation Bandwidth Selection 80\u003c\/p\u003e \u003cp\u003e3.4.4 Smoothed Bootstrap Bandwidth Selection 81\u003c\/p\u003e \u003cp\u003e3.4.5 Bandwidth Selectors in Practice 82\u003c\/p\u003e \u003cp\u003e3.5 Further Issues in Kernel Density Estimation 88\u003c\/p\u003e \u003cp\u003e3.6 Estimating the Hazard Function 90\u003c\/p\u003e \u003cp\u003e3.7 R Code for the Examples 98\u003c\/p\u003e \u003cp\u003e3.7.1 Code for Example 3.2.1 98\u003c\/p\u003e \u003cp\u003e3.7.2 Code for Examples 3.3.4 and 3.3.5 99\u003c\/p\u003e \u003cp\u003e3.7.3 Code for Examples 3.4.2 and 3.4.3 100\u003c\/p\u003e \u003cp\u003e3.7.4 Code for Example 3.5.1 102\u003c\/p\u003e \u003cp\u003e3.7.5 Code for Example 3.6.4 104\u003c\/p\u003e \u003cp\u003e3.7.6 Code for Example 3.6.5 105\u003c\/p\u003e \u003cp\u003eReferences 106\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Regression Analysis \u003c\/b\u003e\u003cb\u003e109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Observational Bias in Regression 109\u003c\/p\u003e \u003cp\u003e4.2 Proportional Hazards Regression 114\u003c\/p\u003e \u003cp\u003e4.3 Accelerated Failure Time Regression 117\u003c\/p\u003e \u003cp\u003e4.4 Nonparametric Regression 121\u003c\/p\u003e \u003cp\u003e4.5 R Code for the Examples 126\u003c\/p\u003e \u003cp\u003e4.5.1 Code for Example 4.1.1 126\u003c\/p\u003e \u003cp\u003e4.5.2 Code for Example 4.1.4 126\u003c\/p\u003e \u003cp\u003e4.5.3 Code for Example 4.2.4 127\u003c\/p\u003e \u003cp\u003e4.5.4 Code for Example 4.3.2 127\u003c\/p\u003e \u003cp\u003e4.5.5 Code for Example 4.4.2 128\u003c\/p\u003e \u003cp\u003eReferences 129\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Further Topics \u003c\/b\u003e\u003cb\u003e131\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Two-Sample Problems 132\u003c\/p\u003e \u003cp\u003e5.2 Competing Risks 137\u003c\/p\u003e \u003cp\u003e5.2.1 Cumulative Incidences 139\u003c\/p\u003e \u003cp\u003e5.2.2 Regression Models for Competing Risks 142\u003c\/p\u003e \u003cp\u003e5.3 Testing for Quasi-independence 146\u003c\/p\u003e \u003cp\u003e5.4 Dependent Truncation 150\u003c\/p\u003e \u003cp\u003e5.5 R Code for the Examples 157\u003c\/p\u003e \u003cp\u003e5.5.1 Code for Example 5.1.3 157\u003c\/p\u003e \u003cp\u003e5.5.2 Code for Example 5.2.4 159\u003c\/p\u003e \u003cp\u003e5.5.3 Code for Example 5.2.6 160\u003c\/p\u003e \u003cp\u003e5.5.4 Code for Example 5.3.1 161\u003c\/p\u003e \u003cp\u003e5.5.5 Code for Example 5.4.3 161\u003c\/p\u003e \u003cp\u003eReferences 162\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Packages and Functions in R \u003c\/b\u003e\u003cb\u003e165\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Computing the NPMLE and Standard Errors 166\u003c\/p\u003e \u003cp\u003eA.2 Assessing the Existence and Uniqueness of the NPMLE 167\u003c\/p\u003e \u003cp\u003eA.3 Semiparametric and Parametric Estimation 168\u003c\/p\u003e \u003cp\u003eA.4 Kernel Estimation 168\u003c\/p\u003e \u003cp\u003eA.5 Regression Analysis 169\u003c\/p\u003e \u003cp\u003eA.6 Competing Risks 169\u003c\/p\u003e \u003cp\u003eA.7 Simulating Data 170\u003c\/p\u003e \u003cp\u003eA.8 Testing Quasi-independence 170\u003c\/p\u003e \u003cp\u003eA.9 Dependent Truncation 170\u003c\/p\u003e \u003cp\u003eReferences 171\u003c\/p\u003e \u003cp\u003eIndex 173\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407192629591,"sku":"9781119951377","price":62.65,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119951377.jpg?v=1730498502","url":"https:\/\/bookcurl.com\/products\/the-statistical-analysis-of-doubly-truncated-data-9781119951377","provider":"Book Curl","version":"1.0","type":"link"}