Construction of simultaneous confidence bands for multiple logistic regression models over restricted regions

Comparison Of Hyperbolic And Constant Width Simultaneous Confidence Bands in Multiple Linear Regression Under MVCS Criterion

‎A simultaneous confidence band gives useful information on the reasonable range of the unknown regression model‎. ‎In this note‎, ‎when the predictor variables are constrained to a special ellipsoidal region‎, ‎hyperbolic and constant width confidence bonds for a multiple linear regression model are compared under the minimum volome confidence set (MVCS) criterion‎. ‎The size of one speical an...

Simultaneous confidence bands for a percentile line in linear regression

Construction of simultaneous confidence bands for a percentile line in linear regression has been considered by several authors. But only conservative symmetric bands, which use critical constants over the whole covariate range (−∞, ∞), are available in the literature. New methods allow the construction of exact symmetric bands for a percentile line over a finite interval of the covariate x. Th...

Simultaneous Confidence Bands for Nonparametric Regression with Repeated Measurements Data

We look into nonparametric regression with repeated measurements collected on a fine grid. An asymptotic normality result is obtained in a function space equipped with the supremum norm. This result can be used to build simultaneous confidence bands (SCB) for various tasks in statistical exploration, estimation and inference. Two applications are proposed: one is a SCB procedure for the regress...

Simultaneous confidence bands for contrasts between several nonlinear regression curves

We propose simultaneous confidence bands of the hyperbolic-type for the contrasts between several nonlinear (curvilinear) regression curves. The critical value of a confidence band is determined from the distribution of the maximum of a chisquare random process defined on the domain of explanatory variables. We use the volume-of-tube method to derive an upper tail probability formula of the max...

Simultaneous confidence bands for all contrasts of three or more simple linear regression models over an interval