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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 4, Pages 55–58 (Mi vmumm515)  
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A closeness estimate for probability distribution and its zero bias transformation

I. S. Tyurin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: We propose a new concise and transparent proof for the optimal estimate concerning the mean metric distance between a probability distribution and its zero bias transformation.
Key words: normal approximation, Stein's method, zero biasing.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00397a
Received: 26.09.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 4, Pages 178–181
DOI: https://doi.org/10.3103/S0027132212040080
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: I. S. Tyurin, “A closeness estimate for probability distribution and its zero bias transformation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 4, 55–58; Moscow University Mathematics Bulletin, 67:4 (2012), 178–181
Citation in format AMSBIB
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\by I.~S.~Tyurin
\paper A closeness estimate for probability distribution and its zero bias transformation
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 4
\pages 55--58
\mathnet{http://mi.mathnet.ru/vmumm515}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3027123}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 4
\pages 178--181
\crossref{https://doi.org/10.3103/S0027132212040080}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866151676}
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