Term of Award
Spring 2010
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Broderick O. Oluyede
Committee Member 1
Charles Champ
Committee Member 2
Hani Samawi
Abstract
Strategies for the analysis of discrete data under order restrictions are discussed. We consider inference for sequences of binomial populations, and the corresponding risk difference, relative risk and odds ratios. These concepts are extended to deal with independent multinomial populations. Natural orderings such as stochastic ordering and cumulative ratio probability ordering are discussed. Methods are developed for the estimation and testing of differences between binomial as well as multinomial populations under order restrictions. In particular, inference for sequences of ordered binomial probabilities and cumulative probability ratios in multinomial populations are presented. Closed-form estimates of the multinomial parameters under order restrictions and test procedures for testing equality of two multinomial populations against the notion of cumulative probability ratio ordering which is stronger than stochastic ordering of the distributions are presented. Numerical examples are given to illustrate the techniques developed.
Recommended Citation
Campbell, Jeff, "Analysis of Discrete Data under Order Restrictions" (2010). Electronic Theses and Dissertations. 653.
https://digitalcommons.georgiasouthern.edu/etd/653
Research Data and Supplementary Material
No
