Open Access. Powered by Scholars. Published by Universities.®
- Institution
Articles 1 - 2 of 2
Full-Text Articles in Probability
A Generalized Inflated Poisson Distribution, Patrick Stewart
A Generalized Inflated Poisson Distribution, Patrick Stewart
Theses, Dissertations and Capstones
Count data with excess number of zeros, ones or twos are commonly encountered in experimental situations. In this thesis we have examined one such fertility data from Sweden. The standard Poisson distribution, which is widely used to model such count data, may not provide a good fit to model women's fertility (defined as the number of children per woman in her lifetime) in a specific population due to various cultural and sociological reasons. Therefore, the usual Poisson distribution is inflated at specific values suitably, as dictated by the societal norms, to fit the available data. The data set is examined …
Modeling And Efficient Estimation Of Intra-Family Correlations, Roy Sabo
Modeling And Efficient Estimation Of Intra-Family Correlations, Roy Sabo
Mathematics & Statistics Theses & Dissertations
Familial data occur when observations are taken on multiple members of the same family. Due to relationships between these members, both genetic and by cohabitation, their response variables will likely exhibit some form of dependence. Most of the existing literature models this dependence with an equicorrelated structure. This structure is appropriate when the dependencies between family members are similar, such as in genetic studies, but not in cases where we expect the dependencies to differ, such as behavioral comparisons across different age groups. In this dissertation we first discuss an alternative structure based upon first-order autoregressive correlation. Specifically we create …