A STUDY ON RELATIVE EFFICIENCY OF KERNEL TYPE ESTIMATORS OF SMOOTH DISTRIBUTION FUNCTIONS

Jee, Eun-Sook; Jee, Eun-Sook

오늘 하루 그만보기

P-ISSN3059-0604
E-ISSN3059-1309
KCI

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Vol.1 No.1

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Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

1994, v.1 no.1, pp.19-24

Jee, Eun-Sook

Jee,, E. (1994). , 1(1), 19-24.

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Abstract

Let P be a probability measure on the real line with Lebesque-density f. The usual estimator of the distribution function (≡df) of P for the sample $\chi$$_1$,…, $\chi$$\_$n/ is the empirical df: F$\_$n/(t)=(equation omitted). But this estimator does not take into account the smoothness of F, that is, the existence of a density f. Therefore, one should expect that an estimator which is better adapted to this situation beats the empirical df with respect to a reasonable measure of performance.(omitted)

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Article Contents

Vol.1 No.1

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics