Statistical properties of number sequences generated by 1D chaotic maps considered as a potential source of pseudorandom number sequences

The basic statistical properties of sequences generated by sawtooth maps and tent-like maps as a function of parameter determining the Kolmogorov-Sinai entropy are considered. The statistical properties of sequences generated by both maps for the same value of parameter and the same initial point are also compared. It has been also shown that tent-like maps may have a serious drawback from the perspective of their application as a source of pseudorandom sequences: they cannot generate the maximal-length sequences.