Several common flexible functional forms are evaluated for Texas agricultural production utilizing three procedures. Nested hypothesis tests indicate that the normalized quadratic is the marginally-preferred functional form followed by the generalized Leontief. Predictive accuracy results are ambiguous between the generalized Leontief and the normalized quadratic. Statistical performance favors...

Abstract: We discuss basically the importance of reproduction number in Mathematical modeling as a summary measure of the transmission potential of an infectious disease.The basic reproduction number R0 for a compartmental disease model is often calculated by the next generation matrix (NGM) approach. It provides significant insight into the transmission dynamics of a disease and can guide stra...

Graphical analysis is employed in the research setting to provide quantitative estimation of PET tracer kinetics from dynamic images at a single bed. Recently, we proposed a multi-bed dynamic acquisition framework enabling clinically feasible whole-body parametric PET imaging by employing post-reconstruction parameter estimation. In addition, by incorporating linear Patlak modeling within the s...

In this paper Dung’s abstract argumentation framework (cp. [23]) is being generalized by introducing nested attacks. Attacks are allowed not only on single arguments (e.g. a → b), but on the attacks themselves as well (a → (b → c)). Key terms of Dung’s account of abstract argumentation are adjusted for nested argumentation frameworks (henceforth NAF) in a way which preserves their original mean...

When testing for a treatment effect or a difference among groups, the distributional assumptions made about the response variable can have a critical impact on the conclusions drawn. For example, controversy has arisen over transformations of the response (Keene). An alternative approach is to use some member of the family of generalized linear models. However, this raises the issue of selectin...

Data with an array structure are common in statistics, and the design or regression matrix for analysis of such data can often be written as a Kronecker product. Factorial designs, contingency tables and smoothing of data on multidimensional grids are three such general classes of data and models. In such a setting, we develop an arithmetic of arrays which allows us to define the expectation of...