([H.sub.3]) f(x, y, v) is a

monotone decreasing function with respect to y and v.

> 0), and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a strictly monotone decreasing function (resp.

d[bar.w]/ds is a strictly monotone decreasing function of s, and it has at most one zero point for s [member of] (-[infinity], +[infinity]).

Note that [c.sub.B] (y) is a continuous and

monotone decreasing function of y for y > 0, and that [c.sub.B] ([y.sup.[dagger]]) = 0 where

In this paper, we assume that PR(t) is a monotone increasing function and RR(t) is a

monotone decreasing function. However, there are also many other cases.

In the above inequality an equal sign holds only when [v.sub.0] = 0, so that the function [f.sub.3] is a monotone decreasing function in 0 [less than or equal to] [v.sub.0] < K.

In the above inequality an equal sign holds only when [v.sub.0] = 0, so that the function [f.sub.4] is a monotone decreasing function in 0 [less than or equal to] [v.sub.0] < K.

From the uniform convergence to the average in (3.2) it follows that there exists a

monotone decreasing function [THETA](t) [right arrow] 0 as t [right arrow] [infinity] such that

If L = [E.sub.p] [X], then [[OMEGA].sub.x] (L) = 1, where [[OMEGA].sub.x] (*) is a

monotone decreasing function. [[OMEGA].sub.x] (x) = [[OMEGA].sub.y] (x) if and only if [F.sub.x] = [F.sub.Y].

is a strictly monotone increasing function of the state variable y in case of risk complementarity and a

monotone decreasing function in case if risk substitutability (cf.

In sum, empirical trace lines show that distractor endorsement frequencies are generally monotone decreasing functions, with non-monotonic curves observed at most for one option in exceptional items.

The empirical study also showed that distractor endorsement frequencies are generally monotone decreasing functions, in contrast to what estimated ORFs from MCM and NRM tend to be.