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Bootstrap critical point for circular mean direction and its applications

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Abstract

Firstly, this paper reviews Hall’s theory of bootstrap critical points (Hall, 1988) and the Edgeworth expansion for the mean direction φ = μ(F n) of directional data (Wu & Deng, 1996), and then applies Hall’s results to study six bootstrap confidence intervals for circular mean direction μ. = μ(F). Our results show that STUD-interval and ABC-interval are both second-order correct. For von Mises population M(μ,k), we find that six bootstrap confidence intervals are second-order correct like the approximate normal confidence interval, and STUD-interval is third-order correct.

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Authors and Affiliations

  1. Department of Economic Information Management, Jinan University, 510632, Guangzhou

    Wu Chaobiao & Deng Weicai

  2. Department of Mathematics, Jinan University, 510632, Guangzhou

    Wu Chaobiao & Deng Weicai

Authors
  1. Wu Chaobiao
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  2. Deng Weicai
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Additional information

1991 MR Subject Classification-. Primary 62F25,62G09;secondary 62E20.

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Chaobiao, W., Weicai, D. Bootstrap critical point for circular mean direction and its applications. Appl. Math. Chin. Univ. 12, 47–60 (1997). https://doi.org/10.1007/s11766-997-0006-y

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  • DOI: https://doi.org/10.1007/s11766-997-0006-y

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