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

Christopher S. Withers and Saralees Nadarajah

Journal of Multivariate Analysis, 2013, vol. 118, issue C, 138-147

Abstract: 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.

Keywords: Binomial distribution; Delta method; Jackknife; Low bias; Multinomial distribution (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.jmva.2013.02.006

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