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Limit Distribution of Spacing on the Unit Circle : 단위 원 상 스페이싱의 극한분포
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 임요한 | - |
dc.contributor.author | 서수빈 | - |
dc.date.accessioned | 2017-07-19T08:47:45Z | - |
dc.date.available | 2017-07-19T08:47:45Z | - |
dc.date.issued | 2017-02 | - |
dc.identifier.other | 000000140777 | - |
dc.identifier.uri | https://hdl.handle.net/10371/131329 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 통계학과, 2017. 2. 임요한. | - |
dc.description.abstract | Order 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. | - |
dc.description.tableofcontents | 1 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 | - |
dc.format | application/pdf | - |
dc.format.extent | 2480763 bytes | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | Spacing | - |
dc.subject | Uniform spacing | - |
dc.subject | Dirichlet distribution | - |
dc.subject | Circular statistics | - |
dc.subject | Directional statistics | - |
dc.subject.ddc | 519 | - |
dc.title | Limit Distribution of Spacing on the Unit Circle | - |
dc.title.alternative | 단위 원 상 스페이싱의 극한분포 | - |
dc.type | Thesis | - |
dc.contributor.AlternativeAuthor | Subin Seo | - |
dc.description.degree | Master | - |
dc.citation.pages | 15 | - |
dc.contributor.affiliation | 자연과학대학 통계학과 | - |
dc.date.awarded | 2017-02 | - |
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