Physical Sciences and Mathematics Commons^™

Bayesian Confidence Limits For The Reliability Of Mixed Cascade And Parallel Independent Exponential Subsystems, James K. Byers, Ronald W. Skeith, Melvin D. Springer

Computer Science Faculty Research & Creative Works

This paper deals with the theoretical problem of deriving Bayesian confidence intervals for the reliability of a system consisting of both cascade and parallel subsystems where each subsystem is independent and has an exponential failure probability density function (pdf). This approach is applicable when test data are available for each individual subsystem and not for the entire system. The Mellin integral transform is used to analyze the system in a step-by-step procedure until the posterior pdf of the system reliability is obtained. The posterior cumulative distribution function is then obtained in the usual manner by integrating the pdf, which serves …

A Numerical Study Of Ordinary Differential Equations With Periodic Coefficients, Richard Bruce Schuessler

Masters Theses

"In this thesis a method for solving ordinary differential equations with periodic coefficients is derived. In addition, by utilization of Floquet theory, a theorem is given by which it is possible to determine the stability of the zero solution. Error bounds are given for the method and for the two dimensional case bounds are given for the error in the eigenvalues. Several numerical examples are given to illustrate the method"--Abstract, page ii.

Comparison Of Scatter Storage Techniques Using An Analysis Of Variance Model, Robert Lee Kitsch

Masters Theses

"An analysis of variance model is developed to determine if a significant difference exists between various scatter storage techniques. The model is a two-factor hierarchical mixed design with each combination of transformation and search method considered as a treatment. The data used in the analysis is obtained from a computer program which provides statistics on the number of probes needed to load the (k+l)st item into a table for the different treatments. An ANOVA table was then computed for various load factors.

A significant difference among the treatments was detected for load factors above .4. Comparison of individual treatments using …