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The methodology used to construct tree structured rules is the focus of this monograph. Unlike many other statistical procedures, which moved from pencil and paper to calculators, this texts use of trees was unthinkable before computers. Both the practical and theoretical sides have been developed in the authors study of tree methods. Classification andâ€¦ (More)

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content inâ€¦ (More)

ANOVA type models are considered for a regression function or for the logarithm of a probability function, conditional probability function, density function, conditional density function, hazard function, conditional hazard function, or spectral density function. Polynomial splines are used to model the main eeects, and their tensor products are used toâ€¦ (More)

A method of estimating an unknown density function f based on sample data is studied. Our approach is to use maximum likelihood etimation to estimate log(f) by a function s from a space of cubic splines that have a finite number of prespecified knots and are linear in the tails. The knots are placed at selected order statistics of the sample data. Theâ€¦ (More)

The logarithm of the relative risk function in a proportional hazards model involving one or more possibly time-dependent covariates is treated as a specified sum of a constant term, main effects, and selected interaction terms. Maximum partial likelihood estimation is used, where the maximization is taken over a suitably chosen finite-dimensionalâ€¦ (More)

An automatic procedure that uses linear splines and their tensor products is proposed for tting a regression model to data involving a polychotomous response variable and one or more predictors The tted model can be used for multiple classi cation The automatic tting procedure involves maximum likelihood estimation stepwise addition stepwise deletion andâ€¦ (More)

- C. J. Stone, DOUGLAS MCLAURIN, William H. Steinhagen, Finis L Cavender, Joseph Kyd Haseman
- Toxicology and applied pharmacology
- 1979

- Leo Breiman, C. J. Stone, Charles Kooperberg, LEO BREIMAN, CHARLES J. STONE, Charles Kooperberg
- 2008

The logarithm of the spectral density function for a stationary process is approximated by polynomial splines. The approximation is chosen to maximize the expected log-likelihood based on the asymptotic properties of the periodogram. Estimates of this approximation are shown to possess the usual nonparametric rate of convergence when the number of knotsâ€¦ (More)