科研之友
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摘要
Local limit theorems have their origin in the classical De Moivre-Laplace theorem, and they study the asymptotic behavior as of probabilities having the form where is a sum of an integer-valued function F taken on i.i.d. or Markov-dependent sequence of random variables . Corresponding results for lattice-valued and general functions F were obtained, as well. We extend here this type of results to nonconventional sums of the form which continues the recent line of research studying various limit theorems for such expressions.
- 出版日期2016-12
