|
This article is cited in 9 scientific papers (total in 9 papers)
The Stein–Tikhomirov Method and a Nonclassical Central Limit Theorem
Sh. K. Formanov Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Abstract:
We present a simplified version of the Stein–Tikhomirov method realized by defining a certain operator in the class of twice differentiable characteristic functions. Using this method, we establish a criterion for the validity of a nonclassical central limit theorem in terms of characteristic functions.
Received: 25.07.2000 Revised: 19.07.2001
Citation:
Sh. K. Formanov, “The Stein–Tikhomirov Method and a Nonclassical Central Limit Theorem”, Mat. Zametki, 71:4 (2002), 604–610; Math. Notes, 71:4 (2002), 550–555
Linking options:
https://www.mathnet.ru/eng/mzm371https://doi.org/10.4213/mzm371 https://www.mathnet.ru/eng/mzm/v71/i4/p604
|
Statistics & downloads: |
Abstract page: | 540 | Full-text PDF : | 301 | References: | 36 | First page: | 1 |
|