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Asymptotic efficiency of the arithmetic-mean estimator of the unknown mean of a homogeneous random field

✍ Scribed by S. Bektashov; Dang Dyk Hau; M. I. Yadrenko


Publisher
Springer US
Year
1993
Tongue
English
Weight
170 KB
Volume
66
Category
Article
ISSN
1573-8795

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On the Composition of Homogeneous Quasi-
✍ Peter Kahlig; Janusz Matkowski πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 206 KB

Let , , β₯ , ␀ : 0, Ο± Βͺ R, strictly monotonic and continuous functions, be the generators of the positively homogeneous quasi-arithmetic means M , M , M , β₯ and M . The main result gives full characterizations of the functions , , β₯ , and ␀ ␀ such that M M x, y , M x, y sM x, y , x, y)0.