lower bound


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lower bound

[′lō·ər ¦bau̇nd]
(mathematics)
A lower bound of a subset A of a set S is a point of S which is smaller than every element of A.
A lower bound on a function ƒ with values in a partially ordered set S is an element of S which is smaller than every element in the range of ƒ.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Observe that this means that the lower bound calculation (step 2/f) can get more than one tasks at a time also.
Given the running shortfall of inflation relative to the 2 percent trend line, the current price-level is roughly at the lower bound of the symmetric 5% corridor.
Or they can work around the zero lower bound by creating a new monetary policy framework to restore the effectiveness of their most proven tool, cutting rates.
Our algorithm begins with a preprocessing phase that first computes a lower bound L to use in constraint (14) using the method described in Section 3.
Buiter, W (2009), "Negative Nominal Interest Rates: Three Ways to Overcome the Zero Lower Bound", NBER Working Paper No.
Table 1 presents historical statistics for the output gap (as measured by 100 times the natural log of real GDP divided by the Congressional Budget Office's estimate of potential), core PCE inflation (measured on a four-quarter basis), and the nominal federal funds rate--along with statistics from stochastic simulations of the DSGE model and the FRB/US model assuming that the steady-state nominal interest rate equals 6 percent (the 1960-2007 average) and the effective lower bound is zero.
Then, similar to [4], the upper and lower bounds can be expressed by the midpoint and the interval width of [AF.sup.IR]([theta]) and [AF.sup.I.sub.J]([theta]):
Because the exact expressions of [P.sub.c] and ASE are unwieldy, we provide easy-to-compute upper and lower bounds of [P.sub.c].
In Figure 7(d), the control measure [w.sub.3] is at upper bound at the beginning and after 50 days it gradually drops to the lower bound at the final time.
is a lower bound of [[sigma].sub.p] = -1/2 and -[a.sub.n-1]/[na.sub.n] = -1.43 < -0.96 < -1/2 = [[sigma].sub.p].
It is observed that the lower bound of the ergodic capacity monotonically increases with the number of BS antenna [N.sub.r], the fading parameter [k.sub.m] and the transmit power [gamma] while decreases with the transceiver distances [D.sub.m].
This article proposes a shadow interest rate that can measure the policy stance seamlessly both on and off the zero lower bound using common statistical factors that explain government and private-sector borrowing conditions.