On stochastic orders of absolute value of order statistics in symmetric distributions
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Publication:731953
DOI10.1016/j.spl.2009.06.019zbMath1171.62032OpenAlexW2004556855MaRDI QIDQ731953
Yaakov Malinovsky, Yosef Rinott
Publication date: 9 October 2009
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2009.06.019
Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30)
Related Items (3)
Sequential estimation of quantiles from delayed observations ⋮ Best invariant and minimax estimation of quantiles in finite populations ⋮ Stochastic ordering of medians in samples from normal distributions
Cites Work
- Best invariant and minimax estimation of quantiles in finite populations
- Minimaxity of the empirical distribution function in invariant estimation
- Minimaxity of the best invariant estimator of a distribution function under the Kolmogorov-Smirnov loss
- Best equivariant nonparametric estimator of a quantile
- Order Statistics
- On Random Variables with Comparable Peakedness
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