Outputs (3)

Local fitting with a power basis (2004)
Journal Article
Einbeck, J. (2004). Local fitting with a power basis. Revstat Statistical Journal, 2(2), 102-126

Local polynomial modelling can be seen as a local fit of the data against a polynomial basis. In this paper we extend this method to the power basis, i.e. a basis which consists of the powers of an arbitrary function. Using an extended Taylor theorem... Read More about Local fitting with a power basis.

Local Smoothing with Robustness against outlying Predictors (2004)
Journal Article
Einbeck, J., Andre, C. D., & Singer, J. M. (2004). Local Smoothing with Robustness against outlying Predictors. Environmetrics, 15(6), 541-554. https://doi.org/10.1002/env.644

Outlying pollutant concentration data are frequently observed in time series studies conducted to investigate the effects of atmospheric pollution on mortality/morbidity. These outliers may severely affect the estimation procedures and even generate... Read More about Local Smoothing with Robustness against outlying Predictors.

A Simple Unifying Formula for Taylor's Theorem and Cauchy's Mean Value Theorem (2004)
Journal Article
Einbeck, J. (2004). A Simple Unifying Formula for Taylor's Theorem and Cauchy's Mean Value Theorem. International Journal of Pure and Applied Mathematics, 14(1), 69-74

We introduce a formula which generalizes Taylor's theorem from powers of linear terms z-x to functional terms \phi(z)-\phi(x), leading to a formula which reduces in a special case to Cauchy's generalized mean value theorem. In other words, regarding... Read More about A Simple Unifying Formula for Taylor's Theorem and Cauchy's Mean Value Theorem.