Sentence examples for dependence in time from inspiring English sources

In this paper we propose a flexible model to describe nonlinearities and long-range dependence in time series dynamics.

Fractal processes exhibit long-range dependence in time, meaning that the signal at a given time-point is likely to be similar to preceding time-points, leading to more "smooth-looking" time-series fluctuations.

Another feature of HOS is that the HOS spectrum of the sum of two or more statistically independent random processes equal the sum of their individual HOS spectra, therefore, HOS can extract information due to derivation from Gaussianity and it provides suitable measurement of the extent of statistical dependence in time series.

We illustrate the application of the coefficient of tail dependence, the χ and ¯¯¯χ statistics, and the conditional extremes model of Heffernan–Tawn to estimate the extremal dependence in time-series of 3-h maxima of sea surface elevation across a spatial array of measurement gauges at the US Army Corps of Engineers Field Research Facilityy on the Atlantic coast of North Carolina.

The book covers a wide range of topics from Markov chain theory and weak dependence with an emphasis on some recent developments on dynamical systems, to strong dependence in times series and random fields.

Specifically, temporal dependence in time-series data can result in confounding due to long-term trends (year-on-year) and seasonal (within-year) patterns.

The spatial patterns are characterized by a very rapid variation in the direction of the axis of the cylinder, together with a standing wave pattern in the direction of the azimuthal angle ψ For small values of μ − μc the solutions exhibit a nearly sinusoidal dependence in both time and ψ As μ is increased further relaxation oscillations in both time and ψ occur.

Observing that many economic and financial time series are serially uncorrelated but not serially independent, Hong (1998, Journal of Royal Statistical Society, Series B; 2000, Journal of Rayal Statistical Society, Series B) develops nonparametric Hoeffding-type measures of and tests for serial dependence in a time series which can detect subtle dependence structure.

The Hurst exponent has been used for the measured self-similarity parameters and for the investigation of the correlations at long-range dependence in empirical time series.

Mostly, I cannot imagine why we are not preserving the most necessary resource at this precarious time or stepping away from oil dependence in our leisure time.

CYP11A expression in the ovaries of females exposed to 3 μg/L peaked on the first day of the recovery period (day 9), suggesting concentration-dependence in the time course and profile of CYP11A expression in FAD-exposed females.