Relative efficiency and deficiency of kernel type estimators of smooth distribution functions | Zendy

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Relative efficiency and deficiency of kernel type estimators of smooth distribution functions

Author(s) -

Falk M.

Publication year - 1983

Publication title -

statistica neerlandica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.52

H-Index - 39

eISSN - 1467-9574

pISSN - 0039-0402

DOI - 10.1111/j.1467-9574.1983.tb00802.x

Subject(s) - mathematics , estimator , kernel (algebra) , empirical distribution function , type (biology) , efficiency , distribution (mathematics) , function (biology) , mathematical optimization , statistics , combinatorics , mathematical analysis , evolutionary biology , ecology , biology

The problem is investigated whether a given kernel type estimator of a distribution function at a single point has asymptotically better performance than the empirical estimator. A representation of the relative deficiency of the empirical distribution function with respect to a kernel type estimator is established which gives a complete solution to this problem. The problem of finding optimal kernels is studied in detail.

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