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Furthermore, a lower bound is given to estimate the ultimate estimation performance before implementing any estimation.
Since the Cramér-Rao Bound (CRB) expresses a lower bound on the covariance matrix of any unbiased estimator, then it expresses also the ultimate estimation accuracy [25, 26].
The Smith criterion: Since the CRB expresses a lower bound on the covariance matrix of any unbiased estimator, then it expresses also the ultimate estimation accuracy.
Gene expression of perilipin, as well as leptin, adiponectin, interleukin 1β, interleukin 6, TNFα, resistin, visfatin, PAI-1, VEGF-A, MCP1, and the macrophage marker CD68 were estimated using a semiquantitative approach for the ultimate estimation of the number of copies of each expressed gene mRNAs per unit of tissue weight as previously described [ 25].
To cope with the complexity of designing large-scale optimal observation matrices, we use the Evolutionary Optimization Algorithms (EOA) which directly target the ultimate estimation accuracy as the optimization objective function.
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To validate the ultimate bound estimation, numerical simulations are also provided.
To validate the ultimate bound estimation, numerical simulations are also investigated.
Recently, ultimate bound estimation of chaotic systems and hyperchaotic systems has been discussed in many research studies [7, 17, 20, 31].
A post-buckling behaviour analysis and an ultimate load estimation of thin-walled composite channel columns under a constant rate of end shortening are presented.
Because of applications of composites in aircraft structures such as skin panels in the wings subjected to lift forces, ultimate strength estimation of these structures is of great importance.
Variances and confidence intervals on estimates were produced using the ultimate cluster variance estimation technique [ 19].
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