Since intraclass correlations (ICC) and Kw are computationally equivalent [ 15], both were interpreted using the arbitrary classification proposed by Landis and Koch [ 16]: <0.00 poor; 0.00 0.20 slight; 0.21 0.40 fair; 0.41 0.60 moderate; 0.61 0.80 substantial and 0.81 1.00 almost perfect agreement.
A natural problem is to try to generalize the results by using the procedure for arbitrary k, which is technically not so easy.
We mainly study the strong limit theorems for the log-optimal portfolio in the stock investment by using the limit properties for arbitrary random variables.
The sequences (cascades) of harmonic and subharmonic stationary solutions to the equation of motion are obtained by using the harmonic balance approximation adapted for arbitrary truncation numbers, powers of non-linearity, and orders of subharmonics.
For an arbitrary function, by using the expression (5.4) of the semigroup, the following inequality holds: (5.5).
Now, we give a convergence theorem for continuous mappings on an arbitrary interval by using the following modified iteration method defined by Suantai [9].
Therefore, we exactly derived the stabilization conditions for the time-state control-form system with arbitrary switching by using the common Lyapunov function [17, 18].
From this and by using the fact that ε is an arbitrary positive number, we obtain that (x_{n}to0) as (nto+infty), as desired.
Also, it is an open problem whether it is possible to prove the convergence theorem of a finite family of continuous mappings on an arbitrary interval by using the iteration methods in this paper.
Then, the process goes back to Step 3. In principle, we can successfully find differentially expressed genomic regions of arbitrary length by using the method described in Subsections 3.1 3.6.
