Compared to most of the traffic modeling techniques used today, TES (Transform-Expand-Sample) is among the youngest ones. Its basic scheme consists of creating a randomly governed background sequence, smoothing it and finally adapting it to a given marginal distribution, altogether yielding a foreground sequence. In this scheme, the so-called Stitching Function originally is responsible for rem...

The present research aimed to analyze values of the autocorrelation function measured for different time values of ground reaction forces during stable upright standing. It was hypothesized that if recording of force in time depended on the quality and way of regulating force by the central nervous system (as a regulator), then the application of autocorrelation for time series in the analysis ...

Spatial autocorrelation analysis tests whether the observed value of a variable at one locality is significantly dependent on values of the variable at neighbouring localities. The method was extended by us in an earlier paper to include the computation of correlograms for spatial autocorrelation. These show the autocorrelation coefficient as a function of distance between pairs of localities, ...

A heavy tailed time series that can be represented as an innnite moving average has the property that the sample autocorrelation function (ACF) at lag h converges in probability to a constant (h), although the mathematical correlation typically does not exist. For many nonlinear heavy tailed models, however, the sample ACF at lag h converges in distribution to a nondegenerate random variable. I...

this paper studies the sequential sampling scheme, as a solution to the problem of aliasing, where the sampling interval is restricted to a minimum allowable value d t. in the sequential sampling, the signal is sampled at intervals of d t, d t+ dt , d t+2 dt , d t+3 dt , ...; where dt < d t and may be selected as desirable. the sequential sampling is, however, analyzed and it is proven that, wh...

In many applications (for example if the effect of an filtering of a random process is tested) a sequence of pseudorandom numbers with a prescribed autocorrelation function must be generated. In the paper a method is discussed allowing to generate sequences of pseudorandom numbers with a autocorrelation function near the autocorrelation function of the white noise after the filtering by an filt...