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Let denote the ordered sequence of estimates for F r)assuming that the model order is P.
The second method of approximation uses a ball B(R) ⊂ D a (0) which generates the sequence of estimates M p = f-p(B(R)).
It was shown how the MLSE algorithm can be used to determine the most likely sequence of estimates, while the MAP algorithm can be used to determine optimal posterior probabilities regarding the transmitted symbols or codewords.
Starting from an initial guess of the parameters, the method consists in finding iteratively a sequence of estimates of θ, where each estimate is based on the previous one.
This is an iterative technique that generates a sequence of estimates X k, k=0,1,2, … that will converge to a solution provided that the initial estimate X 0 is itself close enough to the intersection.
The G-N approach performs iterative gradient descent, starting with an initial estimate X 0. It generates a sequence of estimates as follows: begin{array}rcl@ boldsymbol{X}_{k+1} &=& boldsymbol{X}_{k} - boldsymbol{delta}_{k} end{array} (18).
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From the salary medians we constructed a sequence of estimated median incomes, year by year, for each school's class of 1994.
The course error grows in time since the estimate is the sum of a long sequence of estimated changes in course, see (16), and there are no course measurements available.
Figure 5 shows the sequence of estimated probabilities over the following three months for: (a) a magmatic eruption or blast, (b) phreatic eruption, or (c) no eruption, with associated uncertainties in these estimates.
In Figure 8, the sequence of estimated CIRs obtained during packet detection is depicted, where the temporal variations of the four subchannels are clearly shown over the depicted time interval within one packet.
For a mutation pair (i, j), this resulted in a sequence of estimated deviations <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0003284.e040.PNG" class= inline-graphic"/> for step l at which the size of the approximation subset equals k.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com