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In this paper, we propose a new approach for deriving probabilistic inequalities.
A. C. Berry, “The accuracy of the Gaussian approximation to the sum of independent variates,” Trans. Amer. Math. Soc
1941
Earlier work this paper cites.
C.-G. Esseen, “On the Liapunoff limit of error in the theory of probability,” Ark. Mat. Astron. Fys
1942
Earlier work this paper cites.
H. Chernoff, “A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations,” Ann. Math. Statist
1952
Earlier work this paper cites.
W. Hoeffding, “Probability inequalities for sums of bounded variables,” J. Amer. Statist. Assoc
1963
Cited alongside, same era.
I. G. Shevtsova, “Sharpening of the upper bound of the absolute constant in the Berry-Esseen inequality,” Theor. Probab. Appl.,
2007
Cited alongside, same era.
X. Chen, “A new framework of multistage hypothesis tests,” arXiv.0809.3170[math.ST], multiple versions, first submitted in September 2008
2008
Cited alongside, same era.
X. Chen, “Likelihhod ratios and proabbility inequalities,” submitted for publication
Cited in the paper.
X. Chen, “A new framework of multistage estimation,” arXiv.0809.1241[math.ST], multiple versions, first submitted in September 2008
2008
Later among the works it cites.
2009
Later among the works it cites.
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