an:03921695
Zbl 0576.60100
Kalpazidou, Sofia
On a random system with complete connections associated with the continued fraction to the nearer integer expansion
EN
Rev. Roum. Math. Pures Appl. 30, 527-537 (1985).
00150616
1985
j
60K99 60K10
random-system-with-complete-connections; continued fraction expansion
The metric properties of the continued-fraction-to-the-nearer-integer expansion have been studied by \textit{G. J. Rieger} [Manuscr. Math. 24, 437-448 (1978; Zbl 0377.10028); J. Reine Angew. Math. 310, 171-181 (1979; Zbl 0409.10038)] and \textit{A. M. Rockett} [Acta Arith. 38, 97-103 (1980; Zbl 0368.10039)]. The present author shows that these properties can be obtained as corollaries of random-system-with-complete-connections theory [see e.g. \textit{??. Grigorescu} and the reviewer, ''Dependence with complete connections and its applications.'' Bucure??ti, Ed. ??tiin??ific?? ??i Enciclopedic??, (Romanian) (1982), chapter 3]. A similar treatment for the continued fraction expansion motivating the author's approach has been given by the reviewer, Progress in Statistics, Europ. Meeting Budapest 1972, Colloq. Math. Soc. J??nos Bolyai 9, 335-363 (1974; Zbl 0299.60077).
M.Iosifescu
Zbl 0377.10028; Zbl 0409.10038; Zbl 0368.10039; Zbl 0299.60077