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A novel method for active early fault detection is presented based on encoding faults into a parametric dynamic cell model, where parameters are continuously estimated under the influence of an auxiliary test signal designed to optimize parametric sensitivity.

Our suggested analytical expression of the BER, based on the Gaussian Mixture model, where parameters are jointly estimated by EM algorithm and Mutual Information theory leads to an efficient fast way to estimate the performance of a digital communications system.

One study developed a variant of the LCAP model where parameters were fit separately to buried and exposed sites and found to be significantly different [ 17].

Indeed, UA model is a particular case of a NUA model where parameters β k, k +1 are all equal (do not depend on k).

Briefly, for each CHD risk marker, each life course model was compared to a more complex 'saturated' model where parameters are included for socioeconomic position at each time point, all two-way interactions and the three-way interaction, using F tests.

Statistical difference between replicates and strains were tested by comparing a model with equality constraints of K and r parameters between replicates of each strain, a model with equality constrains of K and r parameters between strains, and a model where parameters K and r were free to vary between strains and replicates; model selection was achieved using the AIC criterion [ 94- 96].

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Our results suggest that a hydrological model where parameter values are adopted from high-resolution models and that is developed based on a minimum conduit diameter of 300 mm provides good simulation performance and is applicable to large-scale urban areas with reasonable effort.

Our experiment and the possibility to test groups of various sizes under controlled conditions allowed formulating a model where parameter values were measured experimentally.

Another current research of Professor Hong is econometrics of time-varying models, where parameters in time series models are changing over time, due to (e.g). technology progress, population change, preference shift, policy shock, and institutional reforms.

Although the statistical details of the implementation of the process can be found in GAP's background documentation note, it is based on state-space models, where parameters are estimated by exact maximum likelihood and the Kalman filter is used to generate the unobserved variables.

Invariance was evaluated by comparing the chi-square values from nested models where parameters were fixed across studies [ 23].

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