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The absorbing cylinder around the corner is used here for two reasons: first, the stepping admittance model is singular at the corner, which is excluded by the cylinder to improve the corner shielding which was demonstrated in reference [4] for rigid corner flanks.
Second, we provide a thorough discussion of some common situations in which the standard form of LM tests cannot be computed because the information matrix of the alternative model is singular under the null.
A more difficult to detect problem arises when the original model is identified under the null hypothesis and the extended model is identified under the alternative but the information matrix of the extended model is singular under the null.
In some common situations in which the information matrix of the alternative model is singular under the null we show that contrary to popular belief it is possible to derive extremum tests that are asymptotically equivalent to likelihood ratio tests, which become one-sided.
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Epidemic models are singular systems so that there exists an algebraic relation between the dynamic variables of the system.
Since the decoupling matrix of the model helicopter is singular, the system is not decouplable by static state feedback, and it is challenging to design a feedback control system.
The information matrix of model (21) is singular under the null hypothesis (H_{0}:psi _{x}=0).
Yet, the equivalence in terms of breeding value prediction is not straightforward, because the coefficient matrix derived form the mixed model equations is singular, and equations corresponding to non-contributing individuals have to be discarded in order to solve the system and to obtain equivalent results [ 10].
In some common situations in which the alternative model information matrix is singular under the null, we derive one-sided extremum tests, which are asymptotically equivalent to likelihood ratio tests, and explain how to compute reliable Wald tests.
The derivation of Asymptotic-Preserving methods is not straightforward since the quasi-neutral model is a singular limit of the Vlasov Maxwell model.
In a time electoral exile, this model is a singular ray of hope.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com