• Title/Summary/Keyword: 통계학과

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Introduction to variational Bayes for high-dimensional linear and logistic regression models (고차원 선형 및 로지스틱 회귀모형에 대한 변분 베이즈 방법 소개)

  • Jang, Insong;Lee, Kyoungjae
    • The Korean Journal of Applied Statistics
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    • v.35 no.3
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    • pp.445-455
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    • 2022
  • In this paper, we introduce existing Bayesian methods for high-dimensional sparse regression models and compare their performance in various simulation scenarios. Especially, we focus on the variational Bayes approach proposed by Ray and Szabó (2021), which enables scalable and accurate Bayesian inference. Based on simulated data sets from sparse high-dimensional linear regression models, we compare the variational Bayes approach with other Bayesian and frequentist methods. To check the practical performance of the variational Bayes in logistic regression models, a real data analysis is conducted using leukemia data set.

A Comparison Study of Forecasting Time Series Models for the Harmful Gas Emission (유해가스 배출량에 대한 시계열 예측 모형의 비교연구)

  • Jang, Moonsoo;Heo, Yoseob;Chung, Hyunsang;Park, Soyoung
    • Journal of the Korean Society of Industry Convergence
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    • v.24 no.3
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    • pp.323-331
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    • 2021
  • With global warming and pollution problems, accurate forecasting of the harmful gases would be an essential alarm in our life. In this paper, we forecast the emission of the five gases(SOx, NO2, NH3, H2S, CH4) using the time series model of ARIMA, the learning algorithms of Random forest, and LSTM. We find that the gas emission data depends on the short-term memory and behaves like a random walk. As a result, we compare the RMSE, MAE, and MAPE as the measure of the prediction performance under the same conditions given to three models. We find that ARIMA forecasts the gas emissions more precisely than the other two learning-based methods. Besides, the ARIMA model is more suitable for the real-time forecasts of gas emissions because it is faster for modeling than the two learning algorithms.

Multiple-threshold asymmetric volatility models for financial time series (비대칭 금융 시계열을 위한 다중 임계점 변동성 모형)

  • Lee, Hyo Ryoung;Hwang, Sun Young
    • The Korean Journal of Applied Statistics
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    • v.35 no.3
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    • pp.347-356
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    • 2022
  • This article is concerned with asymmetric volatility models for financial time series. A generalization of standard single-threshold volatility model is discussed via multiple-threshold in which we specialize to twothreshold case for ease of presentation. An empirical illustration is made by analyzing S&P500 data from NYSE (New York Stock Exchange). For comparison measures between competing models, parametric bootstrap method is used to generate forecast distributions from which summary statistics of CP (Coverage Probability) and PE (Prediction Error) are obtained. It is demonstrated that our suggestion is useful in the field of asymmetric volatility analysis.

A parametric bootstrap test for comparing differentially private histograms (모수적 부트스트랩을 이용한 차등정보보호 히스토그램의 동질성 검정)

  • Son, Juhee;Park, Min-Jeong;Jung, Sungkyu
    • The Korean Journal of Applied Statistics
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    • v.35 no.1
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    • pp.1-17
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    • 2022
  • We propose a test of consistency for two differentially private histograms using parametric bootstrap. The test can be applied when the original raw histograms are not available but only the differentially private histograms and the privacy level α are available. We also extend the test for the case where the privacy levels are different for different histograms. The resident population data of Korea and U.S in year 2020 are used to demonstrate the efficacy of the proposed test procedure. The proposed test controls the type I error rate at the nominal level and has a high power, while a conventional test procedure fails. While the differential privacy framework formally controls the risk of privacy leakage, the utility of such framework is questionable. This work also suggests that the power of a carefully designed test may be a viable measure of utility.

High-dimensional change point detection using MOSUM-based sparse projection (MOSUM 성근 프로젝션을 이용한 고차원 시계열의 변화점 추정)

  • Kim, Moonjung;Baek, Changryong
    • The Korean Journal of Applied Statistics
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    • v.35 no.1
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    • pp.63-75
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    • 2022
  • This paper proposes the so-called MOSUM-based sparse projection method for change points detection in high-dimensional time series. Our method is inspired by Wang and Samworth (2018), however, our method improves their method in two ways. One is to find change points all at once, so it minimizes sequential error. The other is localized so that more robust to the mean changes offsetting each other. We also propose data-driven threshold selection using block wild bootstrap. A comprehensive simulation study shows that our method performs reasonably well in finite samples. We also illustrate our method to stock prices consisting of S&P 500 index, and found four change points in recent 6 years.

Power transformation in quasi-likelihood innovations for GARCH volatility (금융 시계열 변동성 추정을 위한 준-우도 이노베이션의 멱변환)

  • Sunah, Chung;Sun Young, Hwang;Sung Duck, Lee
    • The Korean Journal of Applied Statistics
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    • v.35 no.6
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    • pp.755-764
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    • 2022
  • This paper is concerned with power transformations in estimating GARCH volatility. To handle a semi-parametric case for which the exact likelihood is not known, quasi-likelihood (QL) rather than maximum-likelihood method is investigated to best estimate GARCH via maximizing the information criteria. A power transformation is introduced in the innovation generating QL estimating functions and then optimum power is selected by maximizing the profile information. A combination of two different power transformations is also studied in order to increase the parameter estimation efficiency. Nine domestic stock prices data are analyzed to order to illustrate the main idea of the paper. The data span includes Covid-19 pandemic period in which financial time series are really volatile.

A Location Recommendation Model for Public Sports Facilities (공공데이터를 활용한 도시 내 공공체육시설 위치 추천)

  • Lim, Joo-Young;Paeng, So-Yeon;Lee, Ga-Eun;Lee, Chan-Nyoung;Koo, Jae-Sung;Ahn, Seo-Hyun;Kang, Min-Ji;Kim, Jin;Lee, Jee Hang
    • Proceedings of the Korea Information Processing Society Conference
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    • 2022.11a
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    • pp.365-367
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    • 2022
  • 본 논문에서는 서울시를 대상으로 2020년 기준 자치구별 공공체육시설의 개수를 분석하고, 도출된 서비스 지역 적정 개소 수를 기준으로 추가 설치가 필요한 자치구 내 입지를 예측하였다. 기존 공공 체육시설 수와 선행연구의 입지 지표를 활용해 회귀분석을 바탕으로 유의한 입지요인을 도출하고, 이를 변수로 한 k-means 군집화를 통해 자치구별 입지 후보군이 될만한 행정구역상 동을 구분하였다. 이후 선정된 행정구역 내 기준 인구 당 공공체육시설 비율이 같아지도록 공공체육시설 설치 개수를 결정한 다음 각 구역의 중심점으로부터 가까운 동 순으로 공공체육시설의 추가 설치가 필요한 동을 선정하였다.

Banded vector heterogeneous autoregression models (밴드구조 VHAR 모형)

  • Sangtae Kim;Changryong Baek
    • The Korean Journal of Applied Statistics
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    • v.36 no.6
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    • pp.529-545
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    • 2023
  • This paper introduces the Banded-VHAR model suitable for high-dimensional long-memory time series with band structure. The Banded-VHAR model has nonignorable correlations only with adjacent dimensions due to data features, for example, geographical information. Row-wise estimation method is adapted for fast computation. Also, two estimation methods, namely BIC and ratio methods, are proposed to estimate the width of band. We demonstrate asymptotic consistency of our proposed estimation methods through simulation study. Real data applications to pm2.5 and apartment trading volume substantiate that our Banded-VHAR model outperforms traditional sparse VHAR model in forecasting and easy to interpret model coefficients.

SMOTE by Mahalanobis distance using MCD in imbalanced data (불균형 자료에서 MCD를 활용한 마할라노비스 거리에 의한 SMOTE)

  • Jieun Jung;Yong-Seok Choi
    • The Korean Journal of Applied Statistics
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    • v.37 no.4
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    • pp.455 -465
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    • 2024
  • SMOTE (synthetic minority over-sampling technique) has been used the most as a solution to the problem of imbalanced data. SMOTE selects the nearest neighbor based on Euclidean distance. However, Euclidean distance has the disadvantage of not considering the correlation between variables. In particular, the Mahalanobis distance has the advantage of considering the covariance of variables. But if there are outliers, they usually influence calculating the Mahalanobis distance. To solve this problem, we use the Mahalanobis distance by estimating the covariance matrix using MCD (minimum covariance determinant). Then apply Mahalanobis distance based on MCD to SMOTE to create new data. Therefore, we showed that in most cases this method provided high performance indicators for classifying imbalanced data.

Bias corrected imputation method for non-ignorable non-response (무시할 수 없는 무응답에서 편향 보정을 이용한 무응답 대체)

  • Lee, Min-Ha;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.35 no.4
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    • pp.485-499
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    • 2022
  • Controlling the total survey error including sampling error and non-sampling error is very important in sampling design. Non-sampling error caused by non-response accounts for a large proportion of the total survey error. Many studies have been conducted to handle non-response properly. Recently, a lot of non-response imputation methods using machine learning technique and traditional statistical methods have been studied and practically used. Most imputation methods assume MCAR(missing completely at random) or MAR(missing at random) and few studies have been conducted focusing on MNAR (missing not at random) or NN(non-ignorable non-response) which cause bias and reduce the accuracy of imputation. In this study, we propose a non-response imputation method that can be applied to non-ignorable non-response. That is, we propose an imputation method to improve the accuracy of estimation by removing the bias caused by NN. In addition, the superiority of the proposed method is confirmed through small simulation studies.