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(2) Deep soil moisture in KOP and ALF was weakly variable.
Most VB are weakly variable since only a few mutations were observed within their consensus sequences, as observed for VB5.
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While it is not unlikely to observe agreement in subset selection methods in the situation of relatively few potentially weakly correlated variables, the deficiencies of stepwise methods become more apparent when number of candidate variables increase and issues of multicollinearity come into play.
There might be some entanglement between weakly coupled variables like nuclear spins belonging to different objects.
In a contrasting scenario with many weakly correlated variables with equal predictive value, Ridge regression performed superior to the LASSO.
In the situation of many weakly correlated variables of equal association with outcome, the pre-filter had little effect on prediction accuracy.
Thus, penalties that do not have a strong peak at zero tend to let in too many weakly correlated variables leading to larger amounts of false positives.
Let { X n, n ∈ Z + d } be a field of independent random variables weakly dominated by the random variable ξ and E X n = 0 for n ∈ Z + d.
Corollary 2.5 Let { X n, n ∈ Z + d } be a field of independent random variables weakly dominated by the random variable ξ and such that E X n = 0 for n ∈ Z + d.
Let ({ Z_{n},ngeq1}) be a sequence of random variables weakly dominated by a random variable Z, that is, (n^{-1}sum_{i=1}^{n}mathbb {P}(|Z_{i}|>x leq Cmathbb{P}(|Z|>x)) for any (xgeq0).
Let ({X_{n}, ngeq1}) be a sequence of random variables weakly upper bounded by a random variable X.
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