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Author:

Guo, C. (Guo, C..) | Tsai, T.-R. (Tsai, T.-R..)

Indexed by:

Scopus

Abstract:

Quantile information is useful in business and engineering applications, but the exact sampling distribution of sample quantile is often unknown. In this paper, we study the performance of four nonparametric methods, the kernel density estimation (KDE), bootstrap percentile (BP), bootstrap-t (BT) and accelerated bias-correction bootstrap (BCa) methods, through Monte Carlo simulations for conducting interval inference on the quantiles of normal and generalized Pareto distributions. Simulation results show that the BCa and BP methods outperform the BT and KDE methods. Sample sizes to implement the recommended nonparametric methods for inferring a range of upper quantiles are also studied based on the coverage probability. © 2017 ISSN 1881-803X.

Keyword:

Accelerated bias-correction bootstrap; Bootstrap percentile; Coverage probability; Quantile

Author Community:

  • [ 1 ] [Guo, C.]School of Economics and Management, Beijing University of Technology, No. 100, Ping Le Yuan, Chaoyang District, Beijing, 100124, China
  • [ 2 ] [Tsai, T.-R.]Department of Statistics, Tamkang University, No. 151, Yingzhuan Rd., Tamsui Dist., New Taipei City, 25137, Taiwan

Reprint Author's Address:

  • [Tsai, T.-R.]Department of Statistics, Tamkang University, No. 151, Yingzhuan Rd., Taiwan

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Source :

ICIC Express Letters

ISSN: 1881-803X

Year: 2017

Issue: 8

Volume: 11

Page: 1351-1358

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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