|
On Estimating Approximation Exactness for Asymptotic Expansions in Polynomial Cases
I. Yu. Osmolovskii M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
This paper obtains the explicit estimate of a residual part for one asymptotic expansion in the central limit theorem for random variables taking values in polynomial spaces.
Keywords:
central limit theorem, asymptotic expansions, approximation exactness.
Received: 17.09.2008
Citation:
I. Yu. Osmolovskii, “On Estimating Approximation Exactness for Asymptotic Expansions in Polynomial Cases”, Teor. Veroyatnost. i Primenen., 54:1 (2009), 154–160; Theory Probab. Appl., 54:1 (2010), 154–160
Linking options:
https://www.mathnet.ru/eng/tvp2551https://doi.org/10.4213/tvp2551 https://www.mathnet.ru/eng/tvp/v54/i1/p154
|
|