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<p>Preface xi</p> <p>Terms and Notation xv</p> <p><b>Chapter 1. Censored and Truncated Data 1</b></p> <p>1.1. Right-censored data 2</p> <p>1.2. Left truncation 12</p> <p>1.3. Left truncation and right censoring 14</p> <p>1.4. Nelson–Aalen and Kaplan–Meier estimators 15</p> <p>1.5 Bibliographic notes 17</p> <p><b>Chapter 2. Chi-squared Tests 19</b></p> <p>2.1. Chi-squared test for composite hypothesis  19</p> <p>2.2. Chi-squared test for exponential distributions 31</p> <p>2.3. Chi-squared tests for shape-scale distribution families 36</p> <p>2.4. Chi-squared tests for other families 51</p> <p>2.5. Exercises 59</p> <p>2.6. Answers 60</p> <p><b>Chapter 3. Homogeneity Tests for Independent Populations 63</b></p> <p>3.1 Data 64</p> <p>3.2 Weighted logrank statistics 64</p> <p>3.3. Logrank test statistics as weighted sums of differences between observed and expected number of failures 66</p> <p>3.4 Examples of weights 67</p> <p>3.5. Weighted logrank statistics as modified score statistics 69</p> <p>3.6. The first two moments of weighted logrank statistics 71</p> <p>3.7. Asymptotic properties of weighted logrank statistics 73</p> <p>3.8. Weighted logrank tests 80</p> <p>3.9. Homogeneity testing when alternatives are crossings of survival functions 85</p> <p>3.10. Exercises 98</p> <p>3.11. Answers 102</p> <p><b>Chapter 4. Homogeneity Tests for Related Populations 105</b></p> <p>4.1. Paired samples 106</p> <p>4.2. Logrank-type tests for homogeneity of related k > 2 samples 119</p> <p>4.3. Homogeneity tests for related samples against crossing marginal survival functions alternatives 122</p> <p>4.4. Exercises 125</p> <p>4.5 Answers 126</p> <p><b>Chapter 5. Goodness-of-fit for Regression Models 127</b></p> <p>5.1. Goodness-of-fit for the semi-parametric Cox model 127</p> <p>5.2. Chi-squared goodness-of-fit tests for parametric AFT models 142</p> <p>5.3. Chi-squared test for the exponential AFT model 153</p> <p>5.4. Chi-squared tests for scale-shape AFT models 159</p> <p>Bibliographic notes 172</p> <p>5.6. Exercises 173</p> <p>Answers 174</p> <p><b>APPENDICES 177</b></p> <p>Appendix A. 179</p> <p>Appendix B. 191</p> <p>Appendix C. 211</p> <p>Bibliography 225</p> <p>Index 231</p>

<p><strong>Vilijandas Bagdonavicius</strong> is Professor of Mathematics at the University of Vilnius in Lithuania. His main research areas are statistics, reliability and survival analysis. <p><strong>Julius Kruopis</strong> is Associate Professor of Mathematics at the University of Vilnius in Lithuania. His main research areas are statistics and quality control. <p><strong>Mikhail S. Nikulin</strong> is a member of the Institute of Mathematics in Bordeaux, France.

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