This behavior occurs because unlike the point admixture case, in which the weighted LD curve follows a simple exponential decay, continuous admixture creates weighted LD that is an average of exponentials with different decay constants.
Following this, the estimated mean sojourn time (MST) is 1/λ, where λ is the average of the exponential distribution (that is, the rate of progression from the preclinical to the clinical phase, as estimated from screening data).
In this analysis we applied the Duan smearing estimate [ 17], that is the average of the exponential of the residuals from the OLS regression on the log-transformed costs.
An approximation of the localization factor, the spatially averaged rate of exponential attenuation per blade-disk sector, is obtained through perturbation techniques in the limits of high and low sensitivity.
For 49 rat neocortical neurons, the averaged ratio of exponential to linear fit errors was 8.46±3.87 (mean±SD, n = 49), and for 29 snail neurons, the averaged ratio was 0.96±0.57 (n = 29).
The values of α low and α high were then calculated as averages of the exponential process over the corresponding time periods, (7) α low = 1 f 2 T i ∫ 0 f 2 T i α (t − t 0 − f 1 T i ), (8) α high = 1 (1 − f 1 − f 2 ) T i ∫ f 2 T i (1 − f 1 ) T i α (t − t 0 − f 1 T i ).
OSA clearly affects the best fit mono-exponential time constant (whether by forcing a mono-exponential fit or by calculating a weighted average of a multi-exponential fit).
In [10], a time domain, moving target detection processing formulation for detecting human motion behind walls was presented with consisting of exponential averaging background subtraction, ordered statistics constant false alarm rate detection and binary accumulation.
The equivalence of maximizing GAT and sum utility can be seen when observing that the geometric mean of some set of values is equal to the exponential average of the logarithm of the values.
Specifically, the reader estimates the number of arriving tags, NewEst, in the current frame with an exponential average of NewCount, which records the number of total arriving tags in the last frame, i.e., NewEst = z × NewCount + (1−z) × NewEst (line 1, Figure 1b).
HW model is a more sophisticated method of forecasting than methods of moving average and exponential smoothing.
