By Richard J. Cook, Jerald Lawless
This e-book provides versions and statistical equipment for the research of recurrent occasion facts. The authors offer vast, precise assurance of the main methods to research, whereas emphasizing the modeling assumptions that they're in line with. extra basic intensity-based types also are thought of, in addition to less complicated types that target cost or suggest features. Parametric, nonparametric and semiparametric methodologies are all lined, with systems for estimation, checking out and version checking.
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Extra info for The Statistical Analysis of Recurrent Events
Covariates in models for recurrent events are discussed in Chapter 2. 5 Factors Inﬂuencing Model Choice Recurrent event analyses may have a range of objectives that are determined by the setting, and this guides the formulation of models and methods for analysis. In trials where patients are randomized to treatments upon study entry and prospectively followed, for example, simple comparisons between two or more treatment groups are often of interest based on marginal features. Analyses based on expected event counts are appealing in such settings, because they provide a basis for simple treatment comparisons which exploit the randomization and facilitate causal inferences regarding treatment eﬀects.
4. Lengths of successive bowel motility cycles. Individual 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Complete Observed Periods 112 206 284 94 67 124 116 111 98 166 63 47 120 112 132 120 162 106 147 145 39 52 21 34 33 51 147 59 186 98 84 34 71 59 161 56 90 86 106 25 267 47 141 56 134 87 83 47 154 63 68 176 57 89 165 107 158 78 75 43 38 58 142 75 68 125 95 55 103 51 144 166 64 113 69 41 41 168 66 100 Censored 54 30 4 87 131 23 111 110 44 122 85 72 6 85 86 12 39 13 4 Example: Study of Motility of the Small Bowel Aalen and Husebye (1991) discuss the analysis of data from a study of small bowel motility involving 19 healthy individuals.
7 Bibliographic Notes Recurrent events are of interest in many ﬁelds of study. Much of the early statistical history of recurrent events deals with single processes or populations, for example, the emission of particles from a radioactive source, the occurrence of earthquakes, or the occurrence of accidents or cases of disease in a human population. Models for such settings were developed under the heading of point processes, and books on this topic provide extensive probabilistic developments and many examples of applications; see, for example, Cox and Lewis (1966), Cox and Isham (1980), Daley and Vere-Jones (1988, 2003), Lewis (1972), and Snyder and Miller (1991).
The Statistical Analysis of Recurrent Events by Richard J. Cook, Jerald Lawless