Bayesian change-point analysis in linear regression model with scale mixtures of normal distributions

In this thesis, we consider Bayesian inference on the detection of variance change-point models with scale mixtures of normal (for short SMN) distributions. This class of distributions is symmetric and thick-tailed and includes as special cases: Gaussian, Student-t, contaminated normal, and slash distributions. The proposed models provide greater flexibility to analyze a lot of practical data, which often show heavy-tail and may not satisfy the normal assumption. As to the Bayesian analysis, we specify some prior distributions for the unknown parameters in the variance change-point models with the SMN distributions. Due to the complexity of the joint posterior distribution, we propose an efficient Gibbs-type with Metropolis- Hastings sampling algorithm for posterior Bayesian inference. Thereafter, following the idea of [1], we consider the problems of the single and multiple change-point detections. The performance of the proposed procedures is illustrated and analyzed by simulation studies. A real application to the closing price data of U.S. stock market has been analyzed for illustrative purposes.

ANALYSIS OF GENDER RELATIONS IN THE INDUSTRIAL COMMUNITY OF AGUIRRE, PUERTO RICO

This thesis is a study of the gender relations of the residents of Aguirre, Puerto Rico, between 1940 and 1991. The primary goal of the project was to explore how gender roles and relations in the Aguirre community were impacted by the social class system introduced by the Aguirre Sugar Company. This project was based on the interpretation of the past and present situation of the Aguirre community using oral history, by conducting a series of interviews among its residents. The interviews resulted in three main themes. First, the concepts of `normal and natural' were used to distinguish gender roles. Second, Aguirreños identified `family as community', since through the family individuals built their gender identity and learned the basic rules of coexistence within the social hierarchy of the community. Third, although the gender and class roles were clear in the community, `resistance and negotiation' occurred in the home and at the Company between those of different gender and social classes. The Aguirre Sugar Company was one of the principal influences on the construction of the Aguirreños identity, and left a mark on the past, present and future generations.