Sentence examples for and the corresponding pdf from inspiring English sources

and the corresponding pdf is (21).

and the corresponding PDF is h ( z ) = p ′ ( Z < z ) = g ( t − z ).

In contrast, the KLD of the approximation of the actual pdf in Figure 2 and the corresponding pdf with hybrid approximation in Figure 5 is.

The KLD of the approximation of the actual pdf in Figure 2 and the corresponding pdf with Gaussian assumption in Figure 1 is.

and the corresponding PDF to (6) is {f}_X x)={f}_C x times {f}_Tleft({F}_C x right),kern0.24em xin mathrm{mathbb{R}}.

and the corresponding PDF is obtained by differentiating (2) with respect to z as begin{array}{*{20}l} f_{Z} z) =beta_{ab}e^{-zbeta_{ab}}. end{array} (3).

If we assume further that Y has a density p y) > 0 for all y in a neighborhood of Q Y where λ ∈ (0, 1), then d d λ Q Y λ exists and equals [p(Q Y ]- 1 (Shorack and Wellner 1986), and hence the corresponding PDF associated with (2.3) is g x = f x p Q Y F x r Q Y F x. (2.4).

[Azzalini (2013]) developed the R package sn sn (available at CRAN) which computes the quantile function F−1 u;α) and, also, the corresponding pdf and cdf.

Note that the computations of the corresponding Jacobians become intractable without knowledge of the analytically closed expressions (31) and (49) for the corresponding pdf(s).

Let (x_1, x_2,ldots,x_n) be a random sample from a population with cdf (F x,{varvec {theta }})) and let (f x,{varvec {theta }})) denote the corresponding pdf.

As all of these pdfs have zero mean, the Gaussian approximation can be performed in (28) by substituting the corresponding pdf by a Dirac pulse and incrementing by.