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The Statistical Analysis of Doubly Truncated Data: With Applications in R
Jacobo de Uña‐Álvarez, Carla Moreira and Rosa M. Crujeiras
This edition first published 2022
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To María Soledad, Marcos, Paula and Miguel, for their love, support and inspiration.
To Teo, Sabela and Andrés, for their infinite patience.
Preface
This book is the result of a long‐standing collaboration among the three authors, which began when Carla Moreira was a PhD student under the supervision of Jacobo de Uña‐Álvarez. Carla successfully defended her thesis, entitled ‘The Statistical Analysis of Doubly Truncated Data: New Methods, Software Development, and Biomedical Applications’, at the Universidade de Vigo in July 2010. At that time, only a small number of people seemed to be aware of the importance of random double truncation. Research papers on this topic were scarce before 2010, with the contribution by Bradley Efron and Vahe Petrosian in 1999 as the most relevant one. And, of course, no software was available. So, for us, it was a risky and exciting research exercise to embrace such an initiative.
We launched version 1.1 of our R package DTDA in September 2009. To our knowledge this was the first software library implementing the Efron–Petrosian estimator. The package included Efron and Petrosian's data on quasar luminosities, and we are very thankful to both scientists for sharing them. DTDA has been downloaded more than 45 thousand times up to now. We have taken the opportunity of writing this book to update and enhance DTDA, feeding it with new illustrative real datasets and enabling new functions and capabilities. We are confident in that the update of the package and the guidance provided by
