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Variations in scaling behavior in the flux and emissions of distantastronomical sources with respect to their cosmic time are important lphenomena that can provide valuable information about the dynamics within thesources and their cosmological evolution with time. Different studies have beenapplying linear analysis to understand and model quasars' light curves. Here,we study the multifractal behavior of selected quasars' radio emissions intheir observed frame (at 22 and 37 GHz bands) and and their rest frame. To thisend, we apply the wavelet transform-based multifractal analysis formalismcalled wavelet transform modulus maxima. In addition, we verify whether theautoregressive integrated moving average (ARIMA) models fit our data or not. Inour work, we observe strong multifractal behavior for all the sources.Additionally, we find that the degree of multifractality is strongly similarfor each source and significantly different between sources at 22 and 37 GHz.This similarity implies that the two frequencies have the same radiation regionand mechanism, whereas the difference indicates that the sources haveintrinsically different dynamics. Furthermore, we show that the degree ofmultifractality is the same in the observed and rest frames of the quasars,i.e., multifractality is an intrinsic property of radio quasars. Finally, weshow that the ARIMA models fit the 3C 345 quasar at 22 GHz and partially fitmost of the time series with the exception of the 3C 273 and 3C 279 quasars at37 GHz, for which the models are found to be inadequate.

Cosmological evolution of quasar radio emission in the view of multifractality