Investigation on series of length of coding and non-coding DNA sequences of bacteria using multifractal detrended cross-correlation analysis

Multifractal analysis of meteorological time series to assess climate impacts

“…There were also trials to apply multifractal detrended analysis to even smaller time series (e.g. Stan et al 2013used ~2000 samples, Pavón-Domín guez et al 2013. In our study we decided that our time series should not be shorter than 4000 samples; therefore, the only rational way of analysing a possible change in multispectral properties of the studied meteorological quan tities in time was to use to 2 equal subsets, 1980− 1995 and 1996−2010 (each containing ~5000 samples).…”

Multifractal detrended cross-correlation analysis of coding and non-coding DNA sequences through chaos-game representation

“…Jiang and his coworkers have also developed a method called multifractal detrended moving average cross correlation analysis to study the cross correlation between two time series [49]. Using these above mentioned approaches the cross correlation behavior and multifractal characteristics studies have been carried out in analyzing time series of physiology, financial, and natural sciences [50][51][52][53][54][55][56][57][58][59]. In the further research, most of these one-dimensional time series methods on long range correlation and cross-correlation analysis have been extended to study higher dimensional data sets [41,43,45].…”

Comparative analysis of bacterial essential and nonessential genes with Hurst exponent based on chaos game representation

“…In the recent past, some interest has been shown in applying nonlinear physics for the analysis of DNA sequences and proteins, including the concepts of scaleinvariance, fractal, multifractal, long-range correlation and network [9][10][11][12][13][14][15][16][17][18][19][20][21]. Different techniques including mutual information functions, autocorrelation functions, power spectra, ''DNA walk'' representation and entropies, are used for statistical analysis of DNA sequences [10,12].…”

“…shown to be useful for biological identification, classification and prediction [13][14][15]. C. Stan et al investigated the characteristics of coding and non-coding DNA sequences length of some bacteria and archaea using an extension of multifractal detrended cross-correlation analysis.…”

“…C. Stan et al investigated the characteristics of coding and non-coding DNA sequences length of some bacteria and archaea using an extension of multifractal detrended cross-correlation analysis. The results of the analysis can be considered as criteria for the identification of class affiliation of bacteria and archaea [13]. Z.Y.…”