Abstract. This paper studies the effect of deviating from the normal distribution assumption when considering the power of two many-sample location test procedures: ANOVA (parametric) and Kruskal-Wallis (non-parametric). Power functions for these tests under various conditions are produced using simulation, where the simulated data are produced using MacGillivray and Cannon’s [10] recently sugg...

INTERVAL ESTIMATION OF EXCESS RISK RELATED EFFECTIVE DOSES IN TOBIT MODELS by Jia Wang ADVISOR: Professor Nan Lin December 2009 Saint Louis, Missouri In this thesis we consider interval estimation of excess risk related effective dose (ERED) in dose-response studies using tobit model. Let P (x) be the probability of response at dose level x. Considering the background probability P (0), excess ...

This study extends the parametric estimation of the structural misclassification model (Arrieta, 2008) to analyze over-treatment of medical procedures to a semi-parametric estimation. The estimation is based on a doubleindex semi-parametric maximum likelihood with partial observability. The document shows that misspecification error due to an incorrect assumption about the error distribution ma...

The term distribution-free is used quite often in the statistical learning theory community, to refer to an analysis that makes no assumptions on the distribution of training examples (and only assumes these are independent and identically distributed samples from an unknown distribution). For our purposes we will say a model is nonparametric if it is not a parametric model. In the simplest for...

Ample fields play an important role in possibility theory. These fields of subsets of a universe, which are additionally closed under arbitrary unions, act as the natural domains for possibility measures. A set provided with an ample field is then called an ample space. In this paper we generalise Wang’s notions of product ample field and product ample space. We make a topological study of ampl...

I argue that opposite arrows of time, while being logically possible, cannot realistically be assumed to exist during one and the same epoch of this universe.

The literature on non-parametric production analysis has formulated tests for profit maximizing behavior that do not require a parametric specification of technology. Negative test results have conventionally been interpreted as inefficiency, or have been attributed to data perturbations. In this paper, we exploit the possibility that negative test results reveal violations of the underlying ne...

A composition and analysis technique was developed for investigation of infinite Petri nets with regular structure, introduced for modeling networks, clusters and computing grids, that also concerns cellular automata and biological systems. A case study of a square grid structure composition and analysis is presented. Parametric description of Petri nets, parametric representation of infinite s...