Approximate Bayes Solutions to Some Nonparametric Problems

Approximate Solutions to Some Static and Dynamic

Problems of optimal structural design for minimum deflection, maximum fundamental frequency and maximum stability are considered in this note. The optimality conditions for these problems consist of nonlinear differential equations which usually require a numerical solution [1-16]. An alternate approach based on the Ritz method is presented here, in which one works with an approximate expressio...

Approximate Solutions to Optimal Stopping Problems

We propose and analyze an algorithm that approximates solutions to the problem of optimal stopping in a discounted irreducible aperiodic Markov chain. The scheme involves the use of linear combinations of fixed basis functions to approximate a Q-function. The weights of the linear combination are incrementally updated through an iterative process similar to Q-Iearning, involving simulation of t...

Solutions to Some More Problems

Nonparametric Bayes Applications to Biostatistics

1. Introduction Biomedical research has clearly evolved at a dramatic rate in the past decade, with improvements in technology leading to a fundamental shift in the way in which data are collected and analyzed. Before this paradigm shift, studies were most commonly designed to be simple and to focus on relationships among a few variables of primary interest. For example, in a clinical trial, pa...

Some Solutions , Some Problems , and Some

This is a slightly expanded written version of a plenary lecture given at the 20th IEEE Conference on Decision and Control, December 198 1, San Diego, CA. This talk is intended to help spark discussion among researchers in decision, control and estimation about the status of research in the field and of promising new directions for research. One such direction, model-based signal processing, is...