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We demand that the relative error (|{hat {P_{01}}({t_{0}})}-P_{01}({t_{0}})|) of an estimator should be below a relative estimation error θ with the corresponding confidence probability α.
This leads to a global estimate x ˆ having a relative estimation error of (23) e = 20 log 10 ‖ x − x ˆ ‖ ‖ x ‖ = − 17.45 dB .
A relative estimation error Δ d of 0 dB indicates a perfect estimation, whereas positive values indicate overestimation and negative value underestimation.
AIC offers a relative estimation of the information lost when the given model is used to generate data (Akaike 1974; Kline 2010; Hoyle 2011).
In the absence of an absolute numerical system, these discriminations are often dependant on a relative estimation based on comparative perceptions.
The inability to exactly calculate the number of catalytic ends in the complex mixture of cell wall biomass allowed only for the calculation of a relative estimation, expressed as relative kinetics (relative V max and K m ).
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The peak-to-peak distance gives a good relative estimation rather than absolute, therefore, a calibration constant must be introduced in order to retrieve absolute values which is because of a variety of factors that change the location of these peaks.
For small data samples, the proposed method has a lower relative estimation error of the measurement results compared to the grey bootstrap method and the Monte Carlo method.
When 10% random noises are added, the convergence time increased and the relative estimation errors between estimated parameters and nominal parameters increased with the increase of noise.
This communication highlight detection of two major chemical constituents, pk-I and pk-II for development and validation of an assay method for relative estimation of both these marker compounds in P. kurroa collected from seven different geographical ecozones of North Western Himalayas.
For high DNRs, underestimation of the noise has only a very small effect on the relative estimation error Δ d.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com