메뉴 건너뛰기




Volumn 124, Issue 3, 1997, Pages 237-253

Poisson approximation for the number of large digits of inhomogeneous f-expansions

Author keywords

Inhomogeneous f expansions; Number of large digits; Poisson approximation; Poisson Charlier expansion; Rates of convergence

Indexed keywords


EID: 0007276026     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01298246     Document Type: Article
Times cited : (1)

References (20)
  • 1
    • 0000435407 scopus 로고
    • Random f-expansions
    • AARONSON J (1986) Random f-expansions. Ann Probab 14: 1037-1057
    • (1986) Ann Probab , vol.14 , pp. 1037-1057
    • Aaronson, J.1
  • 2
    • 0002005293 scopus 로고
    • Two moments suffice for Poisson approximations: The Chen-Stein method
    • ARRATIA R, GOLDSTEIN L, GORDON, L (1989) Two moments suffice for Poisson approximations: The Chen-Stein method. Ann Probab 17: 9-25
    • (1989) Ann Probab , vol.17 , pp. 9-25
    • Arratia, R.1    Goldstein, L.2    Gordon, L.3
  • 3
    • 0039857162 scopus 로고
    • Continued fractions and Bernoulli trials
    • MOSER J, PHILLIPS E, VARADHAN S (eds). New York
    • ADLER RL (1975) Continued fractions and Bernoulli trials. In: MOSER J, PHILLIPS E, VARADHAN S (eds) Ergodic Theory pp. 111-120. New York
    • (1975) Ergodic Theory , pp. 111-120
    • Adler, R.L.1
  • 5
    • 0001208358 scopus 로고
    • Remarques sur la théorie métrique des fractions continues
    • DOEBLIN W (1940) Remarques sur la théorie métrique des fractions continues. Compositio Math 7: 353-371
    • (1940) Compositio Math , vol.7 , pp. 353-371
    • Doeblin, W.1
  • 6
    • 84985385996 scopus 로고
    • Rates of convergence in stable limit theorems for sums of exponentially ψ-mixing random variables with an application to the metric theory of continued fractions
    • HEINRICH L (1987) Rates of convergence in stable limit theorems for sums of exponentially ψ-mixing random variables with an application to the metric theory of continued fractions. Math Nachr 131: 149-165
    • (1987) Math Nachr , vol.131 , pp. 149-165
    • Heinrich, L.1
  • 7
    • 0007321840 scopus 로고    scopus 로고
    • 2-transformations
    • an earlier version of this paper appeared as Preprint 91-025, Sonderforschungsbereich 343, Universität Bielefeld, 1991
    • 2-transformations. Math Nachr 182: 185-214 (an earlier version of this paper appeared as Preprint 91-025, Sonderforschungsbereich 343, Universität Bielefeld, 1991)
    • (1996) Math Nachr , vol.182 , pp. 185-214
    • Heinrich, L.1
  • 9
    • 84979313675 scopus 로고
    • Approximation der verteilungen von summen unabhängiger nichtnegativ ganzzahliger zufallsgrößen durch Poissonsche verteilungen
    • FRANKEN P (1964) Approximation der Verteilungen von Summen unabhängiger nichtnegativ ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen. Math Nachr 27: 303-340
    • (1964) Math Nachr , vol.27 , pp. 303-340
    • Franken, P.1
  • 11
    • 0039852501 scopus 로고
    • A Poisson law for ψ-mixing sequences establishing the truth of a Doeblin's statement
    • IOSIFESCU M (1977) A Poisson law for ψ-mixing sequences establishing the truth of a Doeblin's statement. Rev Roumaine Math Pures Appl 22: 1441-1447
    • (1977) Rev Roumaine Math Pures Appl , vol.22 , pp. 1441-1447
    • Iosifescu, M.1
  • 12
    • 0040266528 scopus 로고
    • A survey of the metric theory of continued fractions, fifty years after Doeblin's 1940 paper
    • GRIGELIONIS et al (eds). Vilnius: Mokslas
    • IOSIFESCU M (1980) A survey of the metric theory of continued fractions, fifty years after Doeblin's 1940 paper. In: GRIGELIONIS et al (eds). Proceedings of the Fifth Vilnius Conference on Prob. Theory and Math Stat. 1989, vol 1, pp 550-572. Vilnius: Mokslas
    • (1980) Proceedings of the Fifth Vilnius Conference on Prob. Theory and Math Stat. 1989 , vol.1 , pp. 550-572
    • Iosifescu, M.1
  • 15
    • 0005750033 scopus 로고
    • Mixing sequences of random variables and probabilistic number theory
    • PHILLIPP W (1971) Mixing Sequences of Random Variables and Probabilistic Number Theory. Mem Amer Math Soc 114
    • (1971) Mem Amer Math Soc , vol.114
    • Phillipp, W.1
  • 16
    • 0040341424 scopus 로고
    • Representations for real numbers and their ergodic properties
    • RÉNYI A (1957) Representations for real numbers and their ergodic properties. Acta Math Acad Sci Hungar 8: 477-493
    • (1957) Acta Math Acad Sci Hungar , vol.8 , pp. 477-493
    • Rényi, A.1
  • 18
    • 0039674738 scopus 로고
    • On some limit theorems for continued fractions
    • SAMUR JD (1989) On some limit theorems for continued fractions. Trans Amer Math Soc 316: 53-79
    • (1989) Trans Amer Math Soc , vol.316 , pp. 53-79
    • Samur, J.D.1
  • 20
    • 51249181565 scopus 로고
    • Transformations on [0, 1] with infinite invariant measures
    • THALER M (1983) Transformations on [0, 1] with infinite invariant measures. Israel J Math 46: 67-96
    • (1983) Israel J Math , vol.46 , pp. 67-96
    • Thaler, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.