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The anomalous diffusion is characterized by a scaling parameter γ as well as the diffusion constant D and the mean square displacement of diffusing species 〈 r 2 ( t ) 〉 scales as a nonlinear power law in time, i.e., 〈 r 2 ( t ) 〉 ∼ t γ [7 9].
From this ellipsoid L j i, the MEBS creates a new ellipsoid S j i that has the same orientation as L j i, but the lengths of its axes are multiplied by a scaling parameter g i.
σAP is then multiplied by a scaling parameter derived by a multivariate polynomial equation that includes the patient's demographic data, arterial compliance, skewness (symmetry of the waveform) to adjust for vascular tone, and kurtosis (measure of how peaked the APW is) to compensate for the differences in APW due to arterial site.
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By varying a scaling parameter, approximations could be systematically obtained and several existing approximations were identified as particular cases of the proposed methodology.
For example, Catte et al. [19] showed that the P-M equation can be made well posed by smoothing isotropically the image with a scaling parameter σ, before computing the image gradient used by the diffusion coefficient: (5).
While all the research known to us prior to [51] gave the degree of approximation by RBF networks in terms of a scaling parameter, the results in [51] appear to be the first of their kind where the theory was developed in terms of the number of neurons.
Cuntoor et al. [17] present a system that jointly segments and classifies events but the number of events in an unseen trajectory needs to be suitably controlled by a scale parameter.
More specifically, consider a power law PDF, (9), with y divided by a scale parameter(,varphi ), so that (overline{F} y/varphi )=cL y/varphi )(y/varphi )^{-eta }) and (f y)sim cL y)varphi ^{-1}eta (y/varphi )^{-eta -1}.) Then begin{aligned} partial ln f/partial varphi sim eta /varphi quad asquad yrightarrow infty end{aligned} (10)and so the score is bounded.
The negative binomial model, which is a generalized form of Poisson models and addresses the over-dispersion problem by a scale parameter has also been introduced into the influenza disease burden study [8], [15].
That is, other than the intercepts, the covariate effects
To account for possible over-dispersion, Poisson standard errors were inflated by a scale parameter equal to the Pearson chi-squared statistic divided by the residual degrees of freedom [ 21].
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