Geodesic
On Estimating Approximation Exactness for Asymptotic Expansions in Polynomial Cases
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 154-160 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {I. Yu. Osmolovskii},
     title = {On {Estimating} {Approximation} {Exactness} for {Asymptotic} {Expansions} in {Polynomial} {Cases}},
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I. Yu. Osmolovskii. On Estimating Approximation Exactness for Asymptotic Expansions in Polynomial Cases. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 1, pp. 154-160. http://geodesic.mathdoc.fr/item/TVP_2009_54_1_a8/

[1] Osmolovskii I. Yu., “O nekotorykh svoistvakh mnogomernykh analogov mnogochlenov Chebysheva–Ermita”, Teoriya veroyatn. i ee primen., 53:2 (2008), 373–378

[2] Senatov V. V., “O mnogomernykh analogakh mnogochlenov Chebysheva–Ermita”, Teoriya veroyatn. i ee primen. (to appear)

[3] Senatov V. V., Tsentralnaya predelnaya teorema: tochnost approksimatsii i asimptoticheskie razlozheniya, Knizhnyi Dom Librokom, M., 2009, 352 pp.