논문KCI 등재
Uniform moderate deviation of sample quantiles and order statistics
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In this article, we establish the F p-uniform moderate devia- tion principles of the sample quantiles and order statistics for a sequence of independent and identically distributed samples.
Abstract
In this article, we establish the F p-uniform moderate devia- tion principles of the sample quantiles and order statistics for a sequence of independent and identically distributed samples.
참고문헌 (8)
- R. R. Bahadur, "A note on quantiles in large samples", Ann. Math. Statist, 37, pp.577~580 (1966)
- H. A. David, "Order Statistics" (1981), Wiley
- A. Dembo, "Large Deviations Techniques and Applications" (1998), Springer
- Y. Miao, "Asymptotic properties of the deviation between order statistics and p-quantile", Comm. Statist. Theory Methods, 40(1), pp.8~14 (2011)
- Y. Miao, "Almost sure central limit theorem of sample quantiles", Adv. Decis. Sci, 2012, pp.7~ (2012)
- R. J. Serfling, "Approximation Theorems of Mathematical Statistics" (1980), John Wiley & Sons, Inc
- S. F. Xu, "Limit behaviors of the deviation between the sample quantiles and the quantile", Filomat, 25(2), pp.197~206 (2011)
- R. Zielinski, "Uniform strong consistency of sample quantiles", Statist. Probab. Lett, 37(2), pp.115~119 (1998)
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