TheKaplan-Meier Integral in the Presenceof Covariates:AReview
نویسندگان
چکیده
Here, T is the time of an event and Z a p-dimensional vector of covariates, φ a square integrable function, and F(t | z) = P (T ≤ t | Z = z) and H( dz) = P (Z ∈ dz) denote the conditional survival distribution and the marginal law of Z , respectively. For example, θ(I {t > t∗}) is the marginal survival probability at time t∗, θ(I {t > t∗, z1 > z∗ 1}) the bivariate distribution at (t∗, z∗ 1) (Akritas 1994), and θ([I {t > t∗} − m(t∗|z)]2) the expected Brier score of a regression model m which predicts survival at time t∗ conditional on the covariates (Graf et al. 1999). In the absence of covariates, using the integrand φs(t) = exp(st) in (2.1) has been used for expressing the moment generating function of multi-state survival times (Hudson et al. 2014).
منابع مشابه
Transmitted antiretroviral drug resistance in a low HIV prevalence setting
ii To my family and loved ones iii ACKNOWLEDGMENTS I would like to thank my project mentor Dr. Jeffrey Meier and my thesis supervisor and academic advisor, Dr. Tara Smith as well as the dedicated members of my thesis committee. I owe a debt of gratitude to the staff of the Department of Epidemiology, especially, Amy Sayer, whose guidance has been invaluable and integral to my academic career. i...
متن کاملComment on: Besser et al. Lessons From the Mixed-Meal Tolerance Test: Use of 90-Minute and Fasting C-Peptide in Pediatric Diabetes. Diabetes Care 2013;36:195–201
I t was extremely gratifying to read an interesting article in Diabetes Care by Besser et al. (1) that suggested that 90-min C-peptide is a highly sensitive and specific measure of area under curve and peak C-peptide in children and adolescents with type 1 diabetes and offers a practical alternative to a full mixed-meal tolerance test. The authors also suggested that C-peptide measured at diagn...
متن کاملEecient Estimation of Analytic Density under Random Censorship
The nonparametric minimax estimation of an analytic density at a given point, under random censorship, is considered. Although the problem of estimating density is known to be irregular in a certain sense, we make some connections relating this problem to the problem of estimating smooth functionals. Under condition that the censoring is not too severe, we establish the exact limiting behavior ...
متن کاملIncreased autoanalyzer dialysis of calcium and magnesium in presence of protein.
We have studiedcalciumand magnesium determinationwiththe AutoAnalyzer,usingdialysis, and measurement by atomic absorptionspectrophotometry. The fraction ofcalciumand magnesium thatdialyzesisproportional to the protein content of the sample; therefore an error is introduced when aqueous solutions of calcium or magnesium salts are used as standards.Apparently,the presenceof proteinscauses increas...
متن کامل