A closed form of autocorrelation functions about asymptotically self-similar processes is presented. The verification shows that this form best the realtrajfic data on Ethernet investigated satisfactorily. Ke;ywords: teletraffic modeling, long-range dependence, autocorrelation fimctions

In both artificial and biological evolution, autocorrelation is commonly cited as a statistic which speaks to the “ruggedness”— and by implication evolvability— of a fitness landscape. But while the standard definition of autocorrelation involves uniform sampling of genotypes, it is a truism that evolution most decidedly does not sample a landscape uniformly. This is of particular significance ...

The classical method of process capability analysis necessarily assumes that collected data are independent; nonetheless, some processes such as biological and chemical processes are autocorrelated and violate the independency assumption. Many processes exhibit a certain degree of correlation and can be treated by autoregressive models among which the autoregressive model of order one (AR (1)) ...

A cross-product statistic is used to demonstrate that spatial interaction models are a special case of a general model of spatial autocorrelation. A series of traditional measures of spatial autocorrelation is shown to have a cross-product form. Several interaction models are shown to have a similar form. A general spatial statistic is developed which indicates that the relationship between the...

This paper presents a new robust feature set for noisy speech recognition in phase domain along with spectral peaks obtained from group delay and autocorrelation functions. The group delay domain is appropriate for formant tracking and autocorrelation domain is well-known for its pole preserving and noise separation properties. In this paper, we report on appending spectral peaks obtained in ei...

Introduction: The Problem • Many signals are not stationary of the second order (their Autocorrelation Function (ACF) is time-varying) • The ACF is used to develop filters and predictors (e.g. for signal compression) • This suggests that we need filters and predictors that are time-varying • A common approach has been to assume local stationarity: We can estimate filters for the signal by using...

Dealing with several structures of different complexities, we adopt various strategies to extract information. The general idea is to find appropriate tools to analyze the variation of the corresponding autocorrelation functions. First, for homogeneous media under different conditions, we recover, in a statistical way, a relationship between porosity and the autocorrelation function. Then, for ...