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Non-uniform estimates in the local limit theorem for densities

Published online by Cambridge University Press:  01 July 2016

Makoto Maejima
Makoto Maejima*
Affiliation:
Keio University
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Abstract

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Type
Eighth Conference on Stochastic Processes and their Applications
Information
Advances in Applied Probability , Volume 11 , Issue 2 , June 1979 , pp. 284 - 285
Copyright
Copyright © Applied Probability Trust 1979 

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References

1. Bikelis, A. (1971) On the accuracy of Gaussian approximation into the distribution of sums of independent identically distributed random variables (in Russian). Litovsk. Mat. Sb. 11, 237–240.Google Scholar
2. Bikelis, A. (1972) Asymptotic expansions for sums of independent lattice random vectors (in Russian). Litovsk. Mat. Sb. 12, 188–189.Google Scholar
3. Heyde, C. C. (1975) A nonuniform bound on convergence to normality. Ann. Prob. 3, 903–907.Google Scholar
4. Maejima, M. (1978) Some Lp versions for the central limit theorem. Ann. Prob. 6, 341–344.CrossRefGoogle Scholar