Sentence examples for by the probability density from inspiring English sources

In the discrete case the weights are given by the probability mass function, and in the continuous case the weights are given by the probability density function.

So, of course, if we're talking about a perfectly spherical shell at some distance, thickness, d r, we talk about it as 4 pi r squared d r, so we just multiply that by the probability density.

A random variable is usually described by the probability density function (PDF) or by its Fourier transform, namely the characteristic function (CF).

The statistical property and search speed of chaotic sequences are represented by the probability density function (PDF) and the Lyapunov exponent, respectively.

The stochastic nature of stream flow discharge is described by the probability density function (PDF) obtained using the theory of distributions.

By invoking the basic idea of equivalence of probability flux, an equivalent probability flux due to drift could be constructed by the probability density evolution method (PDEM) instead of the direct coupled high-dimensional integral.

Violin plots illustrate the distribution of data by showing the probability density of the data at different values.

The information needed for reliability evaluation of structures could be extracted, for example, by capturing the probabilistic information of the extreme value of the corresponding response, which could be obtained by using the probability density evolution method.

The variation in the creep compliances of a VE polymer was described by formulating the probability density functions (PDFs) and the corresponding cumulative distribution functions (CDFs) of the creep compliances using a two-parameter Weibull distribution.

The algorithm is similar to the Green's function reaction dynamics (GFRD) algorithm by van Zon and ten Wolde where longer time steps can be taken by computing the probability density functions (PDFs) and then sample from the distribution functions.

It is shown that by relating the probability density of the envelope to that of the projection one can find moments of the envelope in an easily computable form.