| BOOTSTRAP CRITICAL POINT FOR CIRCULAR MEAN DIRECTION AND ITS APPLICATIONS |
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| 摘 要： | ＢＯＯＴＳＴＲＡＰＣＲＩＴＩＣＡＬＰＯＩＮＴＦＯＲＣＩＲＣＵＬＡＲＭＥＡＮＤＩＲＥＣＴＩＯＮＡＮＤＩＴＳＡＰＰＬＩＣＡＴＩＯＮＳＷＵＣＨＡＯＢＩＡＯＡＮＤＤＥＮＧＷＥＩＣＡＩＡｂｓｔｒａｃｔ．Ｆｉｒｓｔｌｙ，ｔｈｉｓｐａｐｅｒｒｅｖｉｅｗｓＨａｌ’...
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| 关 键 词： | 自助法 临界点 循环平均方向 Hall理论 Edgeworth扩展 |
| 收稿时间： | 1995-03-12 |
Bootstrap critical point for circular mean direction and its applications |
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| Wu Chaobiao,Deng Weicai. Bootstrap critical point for circular mean direction and its applications[J]. Applied Mathematics A Journal of Chinese Universities, 1997, 12(1): 47-60. DOI: 10.1007/s11766-997-0006-y |
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| Authors: | Wu Chaobiao Deng Weicai |
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| Affiliation: | (1) Department of Economic Information Management, Jinan University, 510632 Guangzhou;(2) Department of Mathematics, Jinan University, 510632 Guangzhou |
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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. 1991 MR Subject Classification-. Primary 62F25,62G09;secondary 62E20. |
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| Keywords: | Bias-correction bootstrap circular mean direction confidence interval coverage critical point directional data von Mises distribution |
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