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Showing 1 to 7 of 7 for “"Simultaneous confidence bands"”.
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Simultaneous confidence bands in linear regression analysis
A simultaneous confidence band provides useful information on the plausible range of an<br/>unknown regression model. For a simple linear regression model, the most frequently<br/>quoted bands in the statistical literature include the two-segment band, the three-segment<br/>band and the hyperbolic …
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Confidence bands for survival functions under semiparametric random censorship models
In medical reports point estimates and pointwise confidence intervals of parameters are usually displayed. When the parameter is a survival function, however, the approach of joining the upper end points of individual interval estimates obtained at several points and likewise for the lower end …
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Confidence bands for survival curves using model assisted cox regression
… is to develop informative subject-specific simultaneous confidence bands (SCBs) for survival functions from right censored data. The approach is based on an extension of semiparametric random censorship models (SRCMs) to Cox regression, which produces reliable and more informative SCBs. …
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Quantile Inference and Change Point Test under Time Series Non-stationarity
… The first part of the thesis considers the simultaneous or functional inference of time-varying quantile curves for a class of non-stationary and long memory time series. New uniform Bahadur representations and Gaussian approximation schemes are established for a wide class of non-stationary …
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Quantile-based methods for prediction, risk measurement and inference
… The third problem is that of constructing simultaneous confidence bands for quantile regression functions when the predictor variables are constrained within a region is considered. In this context, a method is introduced that makes use of the asymmetric Laplace errors in conjunction with a …
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Methods for two-sample comparisons from censored time-to-event data
… specifically, their difference, accompanied by simultaneous confidence bands (SCBs). Alternatively, or in addition, one may conduct hypothesis testing for the difference of the two survival functions. The first project exploits two bootstrap methods to develop new Wald-type SCBs for the …
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Machine Learning for Causal Estimation
… derive uniform error bounds and construct valid simultaneous confidence bands for collections of average treatment effects (ATEs) estimated via DML. Our framework accommodates both finite sets and continua of functionals, and leverages strong Gaussian approximation results to account for …