Abstract
This chapter gives an introduction to the simplest concept: estimating the survival curve when there are no covariates. Although simple, it forms a platform for understanding the more complex material that follows. We do it twice, once informally (although making use of counting process ideas) in Section 1, and then a second time with the connections to counting processes and martingales much more complete. Sections 2 and 3 first give an overview of the necessary theory and then apply it to the informal results of Section 1, both validating and extending them. Section 4 discusses the extension to tied data. The reader might want to focus on Section 1 on the first reading, perhaps supplemented with the results (but not derivations) of Sections 3 and 4.
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© 2000 Springer Science+Business Media New York
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Therneau, T.M., Grambsch, P.M. (2000). Estimating the Survival and Hazard Functions. In: Modeling Survival Data: Extending the Cox Model. Statistics for Biology and Health. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3294-8_2
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DOI: https://doi.org/10.1007/978-1-4757-3294-8_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3161-0
Online ISBN: 978-1-4757-3294-8
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