Variance Estimation with Matched Pairs
Copyright policy )Variance Estimation with Matched Pairs
SUMMARY We wish to estimate the variance cr2 from n pairs (Xi, Yi) which are independent normal random variables with unknown mean ui and variance a2. According to a marginal or conditional sufficiency argument, all useful informatiQn about U2 iS contained in the differences Xi- Yi. This paper shows that under fairly weak assumptions about the means, a considerable amount of information is also extractable from the sums Xi + Yi.
- University of Auckland New Zealand
matched pairs, efficiency, Sufficient statistics and fields, Point estimation, conditional sufficiency, variance estimation, empirical Bayes, marginal sufficiency
matched pairs, efficiency, Sufficient statistics and fields, Point estimation, conditional sufficiency, variance estimation, empirical Bayes, marginal sufficiency
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!