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Original Articles

A continuous estimator of a distribution function that reproduces the empirical moments

Pages 1923-1931 | Received 01 Sep 1992, Published online: 23 Dec 2010

References

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  • Jones , M.C. 1990 . The performance of kernel density functions in kernel distribution function estimation . Statistics & Probability Letters , 9 : 129 – 132 .
  • Nadaraya , E.A. 1964 . Some new estimates for distribution functions . Theory of Probability and its Applications , 9 : 497 – 500 .
  • Reiss , R.D. 1981 . Nonparametric estimation of smooth distribution functions . Scandinavian Journal of Statistics , 8 : 116 – 119 .
  • Serfling , R.J. 1980 . Approximation Theorems of Mathematical Statistics , New York : John Wiley .
  • Swanepoel , J.W.H. 1988 . Mean integrated squared error properties and optimal kernels when estimating a distribution function . Commun. Statist.-Theory Meth , 17 : 3785 – 3799 .

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