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Full-Text Articles in Probability
Preference Probability Based On Ranks - A New Approach Using Logistic Regression With Zero Intercept, Oluwagbenga David Agboola
Preference Probability Based On Ranks - A New Approach Using Logistic Regression With Zero Intercept, Oluwagbenga David Agboola
Theses, Dissertations and Capstones
Many probability models have been proposed to describe rankings. One of these is the BradleyTerry model, which is based on observed pairwise preferences. For this study, we reverse the case and propose a new approach for estimating pairwise preference probabilities based on observed rankings. The new approach uses logistic regression with zero intercept as the statistical model that fits this situation. In order to implement the model, we first estimate the parameter using maximum likelihood estimation. Then we evaluate this estimation using numerical approximation procedures. We consider three such procedures: bisection method, Newton-Raphson method, and improved Newton’s method. Using simulated …
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 …