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Let us notice that in [5], for inequality (1), an estimate of the type (18) has been obtained in the case (1< q=p
Hence, we conclude that X = Z = P ( T ) = 0, so that the bound (10) is in force, and an estimate of the type of (1) will follow from the application of Theorems 1-2 in Chapter 5 of [3].
In the present work, for (1leq pleq qleqinfty), we establish a criterion for the validity of inequality (1) with an estimate of the type B u,rho leq Cleq C_{1} B u,rho) (7) for the least constant C in (1), where (B u,rho)) is some functional depending on u and ρ.
In his paper Walker studied the Jensen gap for the special case (fequiv1) i.e. for (J ( varphi,mu) :=J ( varphi,mu,1 ) ) and found an estimate of the type J ( varphi,mu ) geqfrac{1}{2}C ( varphi,mu ) biggl( int_{Omega}s^{2},dmu ( s ) - biggl( int_{Omega }s,dmu ( s ) biggr) ^{2} biggr), where the positive constant (C=C ( varphi,mu ) ) is easily computed.
This formula produces a biased estimate of the true underlying P value, but provides a more accurate estimate of the type I error rate than the conventional, unbiased (yet anticonservative) formula P = r/n [38] [41].
These permutation analyses also provided an indirect estimate of the type I error rate in our experimental approach.
Similar(47)
Analysts cautioned that estimates of the type published Thursday are often revised, as more data comes available, and so the final figures could be lower.
In [15], there was the sharp estimates of the type (1.7) when the derivatives belong to different Lorentz spaces Before stating the theorem, we give some notations.
The first estimates of the type (16.27) were found by Schonbek [542] in 1979 who considered (nu =3,p=1) and V small.
For this purpose, we introduce estimates of the type t → Λ ˆ i ( t ) = ∫ 0 t �� ˆ i ( u ) d u, where λ ˆ i estimates λ i , the conditional intensity of the i th process N i.
Gilmore said they do not have estimates of the type of crowds they hope to draw in the first year.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com