The

cumulative distribution function (CDF) is given by

Similarly, to describe their joint distribution, we can use corresponding 2D

cumulative distribution function (cdf)

The

cumulative distribution function for the normal distribution is given as follows:

Let us now show the relationship between this function and other standard special functions (integral of error function) [4] as error function and

cumulative distribution function for normal distribution in the context of its use.

The

cumulative distribution function, moment, and stochastic representation will be presented when they correspond to the cases at hand.

For the analysis of the degree distribution, a common approach is to plot the complementary

cumulative distribution function P(k), which represents the fraction of nodes with degrees greater than or equal to k in the entire network.

The

cumulative distribution function of nonparametric probabilities of non-correlation with sex (Figure 4a) shows a very strong profile, affecting more than 30% of the peaks.

In addition to achieving the primary endpoint (response rate) of non-inferiority versus treatment with daily sublingual buprenorphine/naloxone, the current standard of care, CAM2038 also demonstrated superior treatment effect for the secondary endpoint (

Cumulative Distribution Function of the percentage of urine toxicology negative for illicit opioids confirmed by self-report).

We reject [H.sub.0] if |z|>[z.sub.[alpha]/2], where [z.sub.[alpha]/2] denotes the upper [alpha]/2 quantile of the standard normal distribution, i.e., [PHI]([z.sub.[alpha]/2]) = 1- [alpha]/2, with [PHI] denoting the

cumulative distribution function of the standard normal distribution.

In order to test if the Pareto power law distribution fits the data well, the complementary

cumulative distribution function (C-CDF), Eq.

Probability distribution value can be calculated using

cumulative distribution function (CDF) and probability density function (PDF) of the captured image, whose values are achieved by brightness distribution of the captured image.

It also includes sophisticated software features, such as the complementary

cumulative distribution function (CCDF), automatic current, and power profiling.