Sentence examples for dependence functions from inspiring English sources

If the failure modes are dependent the respective dependence functions or at least upper and lower bounds of the respective multiple failure time probability density functions can be estimated.

The pressure dependence of the yield criterion and the corresponding plastic rate of deformation equation are expressed as general functional forms to allow development and incorporation of new pressure dependence functions or to accept existing pressure dependence functions directly.

A semiparametric approach, using dependence functions known as copulas, is considered to quantify and estimate the pairwise association between the outcome and each gene expression.

We show that the constructed ensemble elements retain the basic shape and dependence structure of autocorrelation function (acf) and partial autocorrelation function (pacf) of the original time series.

General characterizations of the S-BLMP in terms of functional equations involving Sibuya's dependence function are presented by Pinto and Kolev (2015c), see their Lemma 1 for example.

To test whether or not there was evidence that density-dependent population growth limited the population growth rates, we incorporated the logistic density dependence function in the population growth model and compared the goodness of fit of this model to the fit of the models without this function.

It is shown that, for given boundary conditions, there exists a unique response velocity dependence function.

"In the Buddhist investigation of reality we traditionally employ four principles of reasoning: dependence, function, nature and evidence," said the Dalai Lama.

Only for medium- and long-distance travel, the flight patterns conform to a gravitation law; therefore, the distance dependence function can be generalized as a scaling relationship.

For estimation of the tail dependence coefficients, we apply a recently developed method [Kuhn G. On dependence and extremes. PhD thesis (Advisor: C. Klüppelberg), Munich University of Technology, 2006] which utilized the multivariate tail dependence function of a subclass of elliptical copulas.

The main purpose of this paper is to propose a standard regional dependence function (SRDF) based on the concepts of semivariogram and especially cumulative semivariogram.