Arithmetic means and the Tauberian constant 474541
β Scribed by Ralph Palmer Agnew
- Book ID
- 112742209
- Publisher
- Springer Netherlands
- Year
- 1952
- Tongue
- English
- Weight
- 483 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0001-5962
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π SIMILAR VOLUMES
We define a new family of matrix means {L ΞΌ (Ο; A)} ΞΌβR where Ο and A vary over all positive probability vectors in R m and m-tuples of positive definite matrices resp. Each of these means interpolates between the weighted harmonic mean (ΞΌ = -β) and the arithmetic mean of the same weight (ΞΌ = β) wit
We consider the problem of estimating a function of the mean vector in multivariate analysis. It is shown that two naive estimators turn out to be biased. Using a generalized jackknife procedure we construct an unbiased estimator of this function as a reasonable alternative. Variances of the three e