We consider two semiparametric regression models for data analysis, the stochastic additive model (SAM) for nonlinear time series data and the additive coefficient model (ACM) for randomly sampled data with nonparametric structure. We employ the SCAD-penalized polynomial spline estimation method for estimation and simultaneous variable selection in both models. It...
The relative merits of the Fisher linear discriminant function
(Efron, 1975) and logistic regression procedure (Press and Wilson,
1978; McLachlan and Byth, 1979), applied to the two group
discrimination problem under conditions of multivariate normality and
common covariance, have been debated. In related research, DiPillo
(1976, 1977, 1979) has argued...
Variable area surveys are used in large geographic regions to estimate the density of birds distributed over a region. If some birds go undetected, a measure of the effective area surveyed, the amount of area occupied by the birds detected, is needed. The effective area surveyed is determined by observational,...
In Bayesian analysis, means are commonly used to
summarize Bayesian posterior distributions. Problems with
a large number of parameters often require numerical
integrations over many dimensions to obtain means. In this
dissertation, posterior modes with respect to appropriate
measures are used to summarize Bayesian posterior
distributions, using the Newton-Raphson method...
In regression analysis, random errors in an explanatory variable cause the
usual estimates of its regression coefficient to be biased. Although this problem has
been studied for many years, routine methods have not emerged. This thesis
investigates some aspects of this problem in the setting of analysis of epidemiological
data....
Methodologies for data reduction, modeling, and classification of grouped
response curves are explored. In particular, the thesis focuses on the analysis of
a collection of highly correlated, highly dimensional response-curve data of
spectral reflectance curves of wood surface features.
In the analysis, questions about the application of cross-validation
estimation of...