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M-step: The maximum likelihood function is maximized, considering that the missing data are known.
The estimation of equation (10) will make use of the Maximum Likelihood function shown for (9).
In the Taylor series, the partial derivatives are estimated from measured data by minimising the maximum likelihood function.
Firstly, the Kriging interpolation needs a calibration of its parameters and is solved with a maximum likelihood function.
Next, the statistical characteristics of the DIs are computed by means of horizontal statistics in conjunction with the maximum likelihood function method and an optimization algorithm.
3) Equation (8) or (14d) is an ML channel estimator which is optimal in the sense that it will yield a maximum likelihood function for a given CFO.
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Figure 2B plots the maximum likelihood functions derived from Jones' [19] analysis of 294 scientists/inventors, showing that the peak probability of producing a significant scientific or technological advance increased from around 32 years of age in 1900 to approximately 38 years of age in 2000.
Typically, least squares or the maximum likelihood functions are applied.
A common objective is the minimization of the difference between measurement data and model prediction, evaluated by least squares or maximum likelihood functions (see e.g. [ 9]).
The fit of the models was based on minus two times the log-maximum likelihood function (−2 log(L)), where a smaller value indicates a better fit.
We computed the maximum-likelihood peaks associated with the polynomial-based and grid-based approximations of the maximum-likelihood function in each demographic model (see Table 2).
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