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Positivity of the best unbiased L-estimator of the scale parameter with complete or selected order statistics from location-scale distribution

โœ Scribed by Zhidong Bai; Sanat K. Sarkar; Wenjin Wang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
478 KB
Volume
32
Category
Article
ISSN
0167-7152

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โœฆ Synopsis

The positivity of the best linear unbiased estimator of the scale parameter of a location-scale family of distributions in terms of complete or selected set of order statistics has only been conjectured in the literature based solely on empirical evidence. This paper offers an analytical proof of this conjecture for distributions whose densities are log-concave.

๐Ÿ“œ SIMILAR VOLUMES

Estimation of location and scale paramet
Estimation of location and scale parameters for the Burr XII distribution using generalized order statistics
โœ I. Malinowska; P. Pawlas; D. Szynal ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 158 KB

The minimum variance linear unbiased estimators (MVLUE), the best linear invariant estimators (BLIE) and the maximum likelihood estimators (MLE) based on n-selected generalized order statistics are presented for the parameters of the Burr XII distribution.