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Full-Text Articles in Statistical Models
The Doubly Inflated Poisson And Related Regression Models, Manasi Sheth-Chandra
The Doubly Inflated Poisson And Related Regression Models, Manasi Sheth-Chandra
Mathematics & Statistics Theses & Dissertations
Most real life count data consists of some values that are more frequent than allowed by the common parametric families of distributions. For data consisting of only excess zeros, in a seminal paper Lambert (1992) introduced Zero-Inflated Poisson (ZIP) model, which is a mixture model that accounts for the inflated zeros. In this thesis, two Doubly Inflated Poisson (DIP) probability models, DIP (p, λ) and DIP ( p1, p2, λ), are discussed for situations where there is another inflated value k > 0 besides the inflated zeros. The distributional properties such as identifiability, moments, and conditional probabilities …
Estimation Of Parameters In Replicated Time Series Regression Models, Genming Shi
Estimation Of Parameters In Replicated Time Series Regression Models, Genming Shi
Mathematics & Statistics Theses & Dissertations
The time series regression model was widely studied in the literature by several authors. However, statistical analysis of replicated time series regression models has received little attention. In this thesis, we study the application of quasi-least squares, a relatively new method, to estimate the parameters in replicated time series models with general ARMA( p, q) correlation structure. We also study several established methods for estimating the parameters in those models, including the maximum likelihood, method of moments, and the GEE method. Asymptotic comparisons of the methods are made bV fixing the number of repeated measurements in each series, and …