Journal of Mathematical Sciences

, Volume 87, Issue 6, pp 4180–4186 | Cite as

Laws of large numbers and the central limit theorem for sequences of coefficients of rotational expansions

  • N. A. Sidorov


For rotational expansions introduced in [1], conditions under which the law of large numbers, the strong law of large numbers, or the central limit theorem hold for Markov sequences of coefficients, are found. Answers are given in terms of the rate of growth of the quotients an. Bibliography: 8 titles.


Limit Theorem Central Limit Central Limit Theorem Markov Sequence Theorem Hold 
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    B. V. Gnedenko,Probability Theory [in Russian], Moscow (1988).Google Scholar
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    A. Ia. Khinchin,Continued Fractions [in Russian], Moscow (1978).Google Scholar
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    W. F. Stout,Almost Sure Convergence, Academic Press, New York (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • N. A. Sidorov

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