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20 - Explicit Error Bounds for Lattice Edgeworth Expansions

Published online by Cambridge University Press:  25 May 2018

Joe P. Buhler
Affiliation:
Center for Communications Research, San Diego, CA 92121, USA
Anthony C. Gamst
Affiliation:
Center for Communications Research, San Diego, CA 92121, USA
Ron Graham
Affiliation:
University of California at San Diego, La Jolla, CA 92093, USA
Alfred W. Hales
Affiliation:
Center for Communications Research, San Diego, CA 92121, USA
Steve Butler
Affiliation:
Iowa State University
Joshua Cooper
Affiliation:
University of South Carolina
Glenn Hurlbert
Affiliation:
Virginia Commonwealth University
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Connections in Discrete Mathematics
A Celebration of the Work of Ron Graham
, pp. 321 - 352
Publisher: Cambridge University Press
Print publication year: 2018

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References

1. Michael, Benedicks. An estimate of the modulus of the characteristic function of a lattice distribution with application to remainder term estimates in local limit theorems. Ann. Probab. 3 (1975), 162–165.Google Scholar
2. J. P., Buhler, R. L., Graham, and A. W., Hales. Maximally nontransitive dice. Amer. Math. Monthly, forthcoming.
3. Rabi N., Bhattacharya and R. Ranga, Rao. Normal Approximation and Asymptotic Expansions. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 2010.Google Scholar
4. William, Feller. An Introduction to Probability Theory and Its Applications. Vol II, 2nd, edn., John Wiley & Sons, New York, 1971.Google Scholar
5. Valentin V., Petrov. Limit Theorems of Probability Theory. Oxford Studies in Probability. Clarendon Press, Oxford University Press, New York, 1995.Google Scholar
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