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Limit Distribution of Spacing on the Unit Circle : 단위 원 상 스페이싱의 극한분포

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dc.contributor.advisor임요한-
dc.contributor.author서수빈-
dc.date.accessioned2017-07-19T08:47:45Z-
dc.date.available2017-07-19T08:47:45Z-
dc.date.issued2017-02-
dc.identifier.other000000140777-
dc.identifier.urihttps://hdl.handle.net/10371/131329-
dc.description학위논문 (석사)-- 서울대학교 대학원 : 통계학과, 2017. 2. 임요한.-
dc.description.abstractOrder statistics of continuous uniform random variable on unit interval are
related to several distributions. It is known that spacings, one of combina-
tions of order statistics, follow the Dirichlet distribution. It can be applied
to circular uniform random variables also with mild modication. In this
paper, we review the derivation of the joint distribution of spacings on the
unit interval and circle. Using this, we prove that the distribution of discrete
random variables from a circular arrangement that consist of two distinct
elements converges to Dirichlet distribution.
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dc.description.tableofcontents1 Introduction 1
2 Spacing on the unit interval 3
3 Spacing on the unit circle 5
3.1. Joint continuous spacing distribution 5
3.2. Discrete to continuous spacing 7
4 Conclusion 14
References 15
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dc.formatapplication/pdf-
dc.format.extent2480763 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectSpacing-
dc.subjectUniform spacing-
dc.subjectDirichlet distribution-
dc.subjectCircular statistics-
dc.subjectDirectional statistics-
dc.subject.ddc519-
dc.titleLimit Distribution of Spacing on the Unit Circle-
dc.title.alternative단위 원 상 스페이싱의 극한분포-
dc.typeThesis-
dc.contributor.AlternativeAuthorSubin Seo-
dc.description.degreeMaster-
dc.citation.pages15-
dc.contributor.affiliation자연과학대학 통계학과-
dc.date.awarded2017-02-
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