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Full-Text Articles in Physical Sciences and Mathematics
A Note On Visualizing Response Transformations In Regression, R. Dennis Cook, David J. Olive
A Note On Visualizing Response Transformations In Regression, R. Dennis Cook, David J. Olive
Articles and Preprints
A new graphical method for assessing parametric transformations of the response in linear regression is given. Simply regress the response variable Y on the predictors and find the fitted values. Then dynamically plot the transformed response Y(λ) against those fitted values by varying the transformation parameter λ until the plot is linear. The method can also be used to assess the success of numerical response transformation methods and to discover influential observations. Modifications using robust estimators can be used as well.
Stochastic Functional Differential Equations On Manifolds, Rémi Léandre, Salah-Eldin A. Mohammed
Stochastic Functional Differential Equations On Manifolds, Rémi Léandre, Salah-Eldin A. Mohammed
Articles and Preprints
In this paper, we study stochastic functional differential equations (sfde's) whose solutions are constrained to live on a smooth compact Riemannian manifold. We prove the existence and uniqueness of solutions to such sfde's. We consider examples of geometrical sfde's and establish the smooth dependence of the solution on finite-dimensional parameters.
High Breakdown Analogs Of The Trimmed Mean, David J. Olive
High Breakdown Analogs Of The Trimmed Mean, David J. Olive
Articles and Preprints
Two high breakdown estimators that are asymptotically equivalent to a sequence of trimmed means are introduced. They are easy to compute and their asymptotic variance is easier to estimate than the asymptotic variance of standard high breakdown estimators.