Curved exponential family models are a useful generalization of exponential random graph models (ERGMs). In particular, models involving the alternating k-star, alternating k-triangle, and alternating k-twopath statistics of Snijders et al (2006) may be viewed as curved exponential family models. This article unifies recent material in the literature regarding curved exponential family models f...

The contraction process of living Vorticella sp. has been investigated by image processing using a high-speed video camera. In order to express the temporal change in the stalk length resulting from the contraction, a damped spring model and a nucleation and growth model are applied. A double exponential is deduced from a conventional damped spring model, while a stretched exponential is newly ...

ABSTARCT: Most prominent approach used by researchers to study the behavior of the process industry systems, is through stochastic process. However it has been found that implications of stochastic process for system performance were based on exponential distribution and further behavior analysis of process industry is carried on the basis of steady state availability analysis and reliability a...

Hyperplane fitting factor rotations perform better than conventional rotations in attaining simple structure for complex configurations. Hyperplane rotations are reviewed and then compared using familiar examples from the literature selected to vary in complexity. Included is a new method for fitting hyperplanes, hypermax, which updates the work of Horst (1941) and Derflinger and Kaiser (1989)....

We examine the possibility that sensory and motor adaptation may be induced via a sinusoidally incremented perturbation. This sinewave adaptation method provides superior data for fitting a parametric model than when using the standard step-function method of perturbation, due to the relative difficulty of fitting a decaying exponential vs. a sinusoid. Using both experimental data and simulatio...

ion from the water molecule may be smaller than that from the ethanol molecule. A main source of the experimental error in D comes from the fitting error of the double-exponential function.2b Recently, Donkers and Leaist have reported D of BQ and AP in ethanol determined by the Tayler dispersion (TD) method as 1.44 and 1.26 × 10-9 m2 s-1, respectively.39 Our values from the TG method are close ...

Background Myocardial iron overload assessment by multislice multiecho T2* technique is used in the clinical management of thalassemia major (TM) patients. Signal decay curves are extracted from the 16 left ventricular (LV) segments and the fitting of these curves to a mono-exponential model provides the corresponding T2* values. In patients with severe cardiac iron overload, where signal will ...