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A statistical analysis of radial (line-of-sight) 1D-distributions ofbrightest cluster galaxies (BCGs) within the redshift interval $0.044 \leq z\leq 0.78$ and Mg II absorption-line systems ($0.37 \leq z \leq 2.28$) iscarried out. Power spectra and two-point radial correlation functions arecalculated. It is found that both radial distributions of spectroscopicredshifts of 52,683 BCGs and 32,840 Mg II absorption systems incorporatesimilar quasi-periodical components relatively to the comoving distance.Significance of the components exceeds $4\sigma$-level and admits an increase($\geq 5\sigma$) for some broad subsamples. For the {\Lambda}CDM cosmologicalmodel the periodicities correspond to spatial comoving scales ($98 \pm 3$) and($101 \pm 2$)h$^{-1}$ Mpc, respectively. These quasi-periods turn out to beclose to the characteristic scale ($101 \pm 6$)h$^{-1}$Mpc of thequasi-periodical component obtained earlier for the radial distribution ofluminous red galaxies (LRGs). On the other hand, the scales are close to thespatial scale corresponding to the baryon acoustic oscillations (BAOs) revealedby many authors at the last decade. Fourier transform phases obtained for theBCGs and LRGs are found to be close, while the phases calculated for the Mg IIabsorption systems and LRGs are opposite. Discussions of the results in acontext of the BAO and large-scale structure characteristic scales areoutlined.

Quasi-periodical components in the radial distributions of cosmologically remote objects