Sentence examples for a monotonically non-decreasing function from inspiring English sources

The third assumption is that for each item the probability of a particular response level, for example in the case of a simple correct/incorrect (binary) responses, the correct answer, or endorsed response P i is a monotonically non-decreasing function of the latent trait θ.

Let f T (t) be the pdf of a continuous random variable T defined on [a, b] and W be a absolutely continuous and monotonically non-decreasing function with W 0) → a and W(1) → b.

ψ is non-decreasing; ψ = 0 if and only if t = 0. We first recall the following notion of a monotone non-decreasing function in a partially ordered set.

In many applications, the mean of a response variable can be assumed to be a non-decreasing function of a continuous predictor, controlling for covariates.

As a corollary, we obtain the monotonicity of the transportation cost between two solutions of the heat equation in the case that the cost function is the composition of a concave non-decreasing function and the normalized L-distance.

There exist a function (varthetain L^{1}(mathscr {I},mathbb{R}^)) and a continuous non-decreasing function to ensure that.

Let (k: R_ to R_) be a continuous, non-decreasing function satisfying (k(0)=0) and (int_{0^ frac{ds}{k(s)}=+infty).

A similar argument shows P(D|S) is a non-decreasing function of S R c).

As can be seen, u G is a non-decreasing function of M for a fixed L. However, the mathematical derivations are challenging.

Note that, in order for (36) to be a valid survival function, it must be the case that x1/γh(x) is a non-decreasing function of x.

Lemma 2.1 μ ( x, ⋅ ) is a non-decreasing function on ( 0, ∞ ) and ν ( x, ⋅ ) is a non-increasing function on ( 0, ∞ ).