On nonnegative quadratic unbiased estimability of variance components
type: Item
instance of: scholarly article
title: On nonnegative quadratic unbiased estimability of variance components
zbMATH Open document ID: 0554.62060
author: Thomas Mathew
published in: The Annals of Statistics
publication date: 1984-01-01T00:00:00Z
review text: Under a quadratic subspace condition, \textit{F. Pukelsheim} [ibid. 9, 293- 299 (1981; Zbl 0486.62066)] has proved that for estimating linear combinations of variance components, either standard methods provide a nonnegative quadratic unbiased estimate or such an estimate does not exist. This result is proved, replacing the quadratic subspace condition by a weaker condition. This answers in the negative a question raised by \textit{F. Pukelsheim} [Math. Operationsforsch. Stat., Ser. Stat. 12, 271- 286 (1981; Zbl 0488.62051)].
Mathematics Subject Classification ID: 62J10
zbMATH DE Number: 3883440
zbMATH Keywords: standard unbiased estimate
zbMATH Keywords: MINQUE
zbMATH Keywords: quadratic subspace condition
zbMATH Keywords: estimating linear combinations of variance components
zbMATH Keywords: nonnegative quadratic unbiased estimate
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176346814
OpenAlex ID: W1989934927
DOI: 10.1214/AOS/1176346814
description: scientific article; zbMATH DE number 3883440