Alternatively, a sequential hypothesis test [ 56] could be used as the stopping criterion in Procedure B. The idea would be to set the supposed pair-wise order of various Ds as null hypotheses and define desired probabilities of falsely rejecting a null hypothesis or falsely accepting the alternative.
Moreover, this circular arrangement implicitly produces a spiral-wise ordering of the facets across the concentric rings.
The space is partially ordered by the usual point-wise ordering of functions, that is, if and only if for all in.
Note that the constraint on the component-wise ordering of the powers in Problem (15) is automatically satisfied due to EPPC and EPPR approximations.
The space Δ L + is partially ordered by the usual point-wise ordering of functions, i.e., F ≥ G if and only if F t) ≥ L G t) for all t in ℝ.
The set Γ+ is partially ordered by the usual point-wise ordering of functions, i.e., F ≤ G if and only if F t) ≤ G t) for all t ∈ ℝ.
The set (Gamma ^+) is partially ordered by the usual point-wise ordering of functions, that is, (Fle G ) if and only if (F t)le G t)) for all (tin mathbb {R}).
The space (Delta^) is partially ordered by the usual point-wise ordering of functions, i.e., (Fleq G) if and only if (F t)leq G t)) for all t in (mathbb{R}).
The space Δ+ is partially ordered by the usual point-wise ordering of functions, i.e., f ≤ g if and only if f(x) ≤ g(x) for all x ∈ ℝ.
The space Δ + is partially ordered by the usual point-wise ordering of functions, i.e., F ≤ G if and only if F ( t ) ≤ G ( t ) for all t in ℝ.
The space Δ + is partially ordered by the usual point-wise ordering of functions, i.e., F ≤ G if and only if F ( t ) ≤ G ( t ) for all t ∈ R. The maximal element for Δ + in this order is the d.f.
