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Structures and Randomness in Stock Markets : 주식시장 내부에 있는 구조들과 무작위성 분석

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dc.contributor.advisorOtto van Koert-
dc.contributor.author서재현-
dc.date.accessioned2022-04-20T07:53:56Z-
dc.date.available2022-04-20T07:53:56Z-
dc.date.issued2021-
dc.identifier.other000000166541-
dc.identifier.urihttps://hdl.handle.net/10371/178986-
dc.identifier.urihttps://dcollection.snu.ac.kr/common/orgView/000000166541ko_KR
dc.description학위논문(석사) -- 서울대학교대학원 : 자연과학대학 수리과학부, 2021.8. Otto van Koert.-
dc.description.abstract이 논문에서는 주식 시장 분석에 있어서 이론적 방법과 데이터 분석 방법을 사용한
다. 실제 시장이 무작위하게 움직이는지에 대한 질문을 던지며 논문을 시작한다. Mapper와 Autoencoder를 이용하여 주식시장의 구조를 비교해본다.
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dc.description.abstractIn this paper, we give a theoretical approach and an approach with
data analysis for stock market. We start with a direct question which
is Do the stock market always follow the random walk?.
Then we will see structures of time series in stock market by
comparing mapper with autoencoder.
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dc.description.tableofcontents1 Test of Randomness 4
1.1 Preliminaries 4
1.2 Theoretical Approach for Stochastic Process 5
1.3 Wiener Process 5
1.4 Kolmogorov-Smirnov Test 7
1.5 Shapiro-Wilk Test 8
1.6 Validation for test of randomness 10
1.7 Check the Seasonality 10
2 SARIMA Model 11
2.1 Preliminaries 11
2.2 Autoregressive(AR) 12
2.3 Moving Average(MA) 12
2.4 Autoregressive Integrated Moving Average(ARIMA) 13
2.5 Seasonal Autoregressive Integrated Moving Average(SARIMA) 13
2.6 Forecast the Stock price 14
2.7 Summary 15
3 Events in Randomness 16
3.1 Preliminaries 16
3.2 Poisson Process with jump diffusion 17
3.3 Poisson Distribution 20
3.4 Distribution of Traded Price 21
3.5 Conclusion 23
4 Classify Time Series 24
4.1 Preliminaries 24
4.2 Hellinger distance 25
4.3 Mapper 27
4.4 Autoencoder 28
4.5 Visualization 29
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dc.format.extentii, 32-
dc.language.isoeng-
dc.publisher서울대학교 대학원-
dc.subjecttime series-
dc.subjectmachine learning-
dc.subjectstochastic process-
dc.subjectstock market-
dc.subjectrandomess-
dc.subject.ddc510-
dc.titleStructures and Randomness in Stock Markets-
dc.title.alternative주식시장 내부에 있는 구조들과 무작위성 분석-
dc.typeThesis-
dc.typeDissertation-
dc.contributor.AlternativeAuthorSeo Jae Hyun-
dc.contributor.department자연과학대학 수리과학부-
dc.description.degree석사-
dc.date.awarded2021-08-
dc.identifier.uciI804:11032-000000166541-
dc.identifier.holdings000000000046▲000000000053▲000000166541▲-
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