Functions of Order Statistics
Open Access
- 1 April 1972
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Mathematical Statistics
- Vol. 43 (2) , 412-427
- https://doi.org/10.1214/aoms/1177692622
Abstract
Two theorems on the asymptotic normality of linear combinations of functions of order statistics are given. Theorem 1 requires a "smooth" scoring function but the underlying df need not be continuous even and can also depend on the sample size. Theorem 2 allows general scoring functions but places additional restrictions on the df. Applications included.Keywords
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