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288503 occurrences (No.86 in the rank) during 5 years in the PubMed. [no cache] 500 found

301) After transplantation, the hazard function is bathtub-shaped, reflecting latent competing risks which operate additively in overlapping time periods.

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PMID:21937472 DOI:10.1177/0962280211419645

2015 Statistical methods in medical research

* Survival extrapolation using the poly-Weibull model.

- Recent studies of (cost-) effectiveness in cardiothoracic transplantation have required estimation of mean survival over the lifetime of the recipients. In order to calculate mean survival, the complete survivor curve is required but is often not fully observed, so that survival extrapolation is necessary. After transplantation, the hazard function is bathtub-shaped, reflecting latent competing risks which operate additively in overlapping time periods. The poly-Weibull distribution is a flexible parametric model that may be used to extrapolate survival and has a natural competing risks interpretation. In addition, treatment effects and subgroups can be modelled separately for each component of risk. We describe the model and develop inference procedures using freely available software. The methods are applied to two problems from cardiothoracic transplantation.

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(1)94 of	(10)7 with	(19)3 for	(28)2 leading
(2)74 null	(11)5 during	(20)3 has	(29)2 mutations
(3)53 and	(12)5 tests	(21)3 over	(30)2 on
(4)47 in	(13)5 that	(22)3 relationships	(31)2 or
(5)17 was	(14)4 among	(23)2 at	(32)2 physical
(6)12 as	(15)4 to	(24)2 but	(33)2 relationship
(7)12 is	(16)4 which	(25)2 can	(34)2 remains
(8)7 Index	(17)3 after	(26)2 could	(35)2 using
(9)7 were	(18)3 by	(27)2 grades

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--- WordNet output for function --- =>1.機能, 関数, 役割, 働き, 2.機能する, 作用する, 働く, 役目を果たす, 3.社交的会合, パーティー, 儀式 Overview of noun function The noun function has 7 senses (first 3 from tagged texts) 1. (43) function, mathematical function, single-valued function, map, mapping -- ((mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)) 2. (24) function, purpose, role, use -- (what something is used for; "the function of an auger is to bore holes"; "ballet is beautiful but what use is it?") 3. (7) function, office, part, role -- (the actions and activities assigned to or required or expected of a person or group; "the function of a teacher"; "the government must do its part"; "play its role") 4. function -- (a relation such that one thing is dependent on another; "height is a function of age"; "price is a function of supply and demand") 5. function -- (a formal or official social gathering or ceremony; "it was a black-tie function") 6. affair, occasion, social occasion, function, social function -- (a vaguely specified social event; "the party was quite an affair"; "an occasion arranged to honor the president"; "a seemingly endless round of social functions") 7. routine, subroutine, subprogram, procedure, function -- (a set sequence of steps, part of larger computer program) Overview of verb function The verb function has 3 senses (first 3 from tagged texts) 1. (9) function, work, operate, go, run -- (perform as expected when applied; "The washing machine won't go unless it's plugged in"; "Does this old car still run well?"; "This old radio doesn't work anymore") 2. (3) serve, function -- (serve a purpose, role, or function; "The tree stump serves as a table"; "The female students served as a control group"; "This table would serve very well"; "His freedom served him well"; "The table functions as a desk") 3. (1) officiate, function -- (perform duties attached to a particular office or place or function; "His wife officiated as his private secretary") --- WordNet end ---