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Consider a Galton-Watson process with immigration. The limiting distributions of the non-sequential estimators of the offspring mean have been proved to be drastically different for the critical case and subcritical and supercritical cases. A sequential estimator, proposed by Sriram, Basawa and Huggins (1991), was shown to be asymptotically normal for both the subcritical and critical cases. Ba...

The objective of the present investigations was to assess use thermodynamic phase diagrams and Gibbs free energy mixing, ?Gmix, for screening polymeric carriers by determining ideal drug-loading an amorphous solid dispersion formulation optimum processing temperature hot-melt extrusion a non-glass-forming drug. Mefenamic acid (MFA) used as model drug four chemically distinct polymers with close...

The Scott-Magat polymer theory, which assumes that polymers have heterogeneous structure and takes into account the polydispersity in the molecular weight of polymers, is a method to model asphaltene precipitation conditions. The traditional Scott-Magat polymer theory based models assume that the precipitated phase consists of asphaltene only. In the present work, we introduce a model based on ...

Some thermodynamic quantities were obtained for the interactions of poly [2-(3-mesityl-3-methylcyclobutyl)2-hydroxyethyl methacrylate] with alcohols, ketones, acetates, aromatics and alkanes by inverse gas chromatography in the temperature range 160-200◦C. The specific retention volumes, V ◦ g , weight fraction activity coefficients of solute probes at infinite dilution, Ω1 , Flory-Huggins ther...

iii ACKNOWLEDGEMENTS Special thanks go to my advisor, Dr. Book, for his support and guidance throughout this project and to my committee members Dr. Sadegh and Dr. Paredis. Our lab research engineer, James D. Huggins, was instrumental to getting a working system and teaching me the ways of the hydraulic world. This work would not have been possible without the generous support of many companies...