Delta and jackknife estimators with low bias for functions of binomial and multinomial parameters

An estimator is said to be of orders>0 if its bias has magnitude n−s, where n is the sample size. We give delta estimators and jackknife estimators of order four for smooth functions of the parameters of a multinomial distribution. An unbiased estimator is given for its density function. We also give a jackknife estimator of any order for smooth functions of the binomial parameter.

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Year of publication:	2013
Authors:	Withers, Christopher S. ; Nadarajah, Saralees
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 118.2013, C, p. 138-147
Publisher:	Elsevier
Subject:	Binomial distribution \| Delta method \| Jackknife \| Low bias \| Multinomial distribution

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011041891