On the asymptotic normality of finite population $$L$$ L -statistics
Author:
Publisher
Springer Science and Business Media LLC
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Link
http://link.springer.com/content/pdf/10.1007/s00362-013-0553-7.pdf
Reference13 articles.
1. Balakrishnan N, Charalambides C, Papadatos N (2003) Bounds on expectation of order statistics from a finite population. J Stat Planing Inference 113:569–588
2. Bloznelis M, Götze F (2001) Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. Ann Stat 29:899–917
3. Chatterjee A (2011) Asymptotic properties of sample quantiles from a finite population. Ann Inst Stat Math 63:157–179
4. Chernoff H, Gastwirth JL, Johns MV (1967) Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation. Ann Math Stat 38:52–72
5. Čiginas A (2012) An Edgeworth expansion for finite-population L-statistics. Lith Math J 52:40–52. doi: 10.1007/s10986-012-9154-8
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1. On the Mean Square Error of Smooth $L$-Estimator;Missouri Journal of Mathematical Sciences;2020-11-01
2. Calibrated bootstrap and saddlepoint approximations of finite population L-statistics;Lithuanian Mathematical Journal;2019-07
3. Sharp large deviations for a class of normalized L-statistics and applications;Statistical Papers;2019-04-16
4. Gini’s mean difference and variance as measures of finite populations scales;Lithuanian Mathematical Journal;2015-07
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