• Title/Summary/Keyword: marginal model

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A Marginal Probability Model for Repeated Polytomous Response Data

  • Choi, Jae-Sung
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.2
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    • pp.577-585
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    • 2008
  • This paper suggests a marginal probability model for analyzing repeated polytomous response data when some factors are nested in others in treatment structures on a larger experimental unit. As a repeated measures factor, time is considered on a smaller experimental unit. So, two different experiment sizes are considered. Each size of experimental unit has its own design structure and treatment structure, and the marginal probability model can be constructed from the structures for each size of experimental unit. Weighted least squares(WLS) methods are used for estimating fixed effects in the suggested model.

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Research on Forecasting Framework for System Marginal Price based on Deep Recurrent Neural Networks and Statistical Analysis Models

  • Kim, Taehyun;Lee, Yoonjae;Hwangbo, Soonho
    • Clean Technology
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    • v.28 no.2
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    • pp.138-146
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    • 2022
  • Electricity has become a factor that dramatically affects the market economy. The day-ahead system marginal price determines electricity prices, and system marginal price forecasting is critical in maintaining energy management systems. There have been several studies using mathematics and machine learning models to forecast the system marginal price, but few studies have been conducted to develop, compare, and analyze various machine learning and deep learning models based on a data-driven framework. Therefore, in this study, different machine learning algorithms (i.e., autoregressive-based models such as the autoregressive integrated moving average model) and deep learning networks (i.e., recurrent neural network-based models such as the long short-term memory and gated recurrent unit model) are considered and integrated evaluation metrics including a forecasting test and information criteria are proposed to discern the optimal forecasting model. A case study of South Korea using long-term time-series system marginal price data from 2016 to 2021 was applied to the developed framework. The results of the study indicate that the autoregressive integrated moving average model (R-squared score: 0.97) and the gated recurrent unit model (R-squared score: 0.94) are appropriate for system marginal price forecasting. This study is expected to contribute significantly to energy management systems and the suggested framework can be explicitly applied for renewable energy networks.

The Marginal Model for Categorical Data Analysis of $3\times3$ Cross-Trials ($3\times3$ 교차실험을 범주형 자료 분석을 위한 주변확률모형)

  • 안주선
    • The Korean Journal of Applied Statistics
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    • v.14 no.1
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    • pp.25-37
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    • 2001
  • The marginal model is proposed for the analysis of data which have c(2: 3) categories in the 3 x 3 cross-over trials with three periods and three treatments. This model could be used for the counterpart of the Kenward-Jones' joint probability one and should be the generalization of Balagtas et ai's univariate marginal logits one, which analyze the treatment effects in the 3 x 3 cross-over trials with binary response variables[Kenward and Jones(1991), Balagtas et al(1995)]. The model equations for the marginal probability are constructed by the three types of link functions. The methods would be given for making of the link function matrices and model ones, and the estimation of parameters shall be discussed. The proposed model is applied to the analysis of Kenward and Jones' data.

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A marginal logit mixed-effects model for repeated binary response data

  • Choi, Jae-Sung
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.2
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    • pp.413-420
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    • 2008
  • This paper suggests a marginal logit mixed-effects for analyzing repeated binary response data. Since binary repeated measures are obtained over time from each subject, observations will have a certain covariance structure among them. As a plausible covariance structure, 1st order auto-regressive correlation structure is assumed for analyzing data. Generalized estimating equations(GEE) method is used for estimating fixed effects in the model.

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Corporate Governance and the Marginal Cash Value for Korean Retail Firms

  • Kim, Sang-Su;Lee, Jeong-Hwan
    • Journal of Distribution Science
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    • v.14 no.5
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    • pp.27-37
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    • 2016
  • Purpose - Prior theories expect a lower marginal value of cash for weak governance firms. To test this hypothesis, we examine the relationship between corporate governance structures and marginal cash values in Korean retail firms. Research design, data, and methodology - We estimate marginal cash values based on the model of Faulkender & Wang (2006). The retail firms listed in Korean Stock Exchange from 2005 to 2013 are analyzed. Corporate governance scores are provided by Korean Corporate Governance Services. Results - We show a higher marginal value of cash for the weak governance retail firms in terms of total governance score. Our analysis on a detailed set of governance scores generally confirms this tendency. Yet, a higher marginal cash value is obtained for the firms with better board structures and dividend policies. Conclusions - Our findings argue against the agency view of cash policy predicting a negative relationship between corporate governance scores and marginal cash values. A low marginal value of cash, widely observed in the sample firms, also supports severe resource diversion problem in Korean corporations.

Measuring Attribute Levels Influencing Tourists' Preference for Restaurants in Tourist Area and Marginal Willingness to Pay: Among Tourists in Jeonnam Area (관광객 선호도에 영향을 미치는 관광지 음식점의 속성수준 평가 및 한계지불의사액 분석: 전남지역 관광객을 대상으로)

  • Kang, Jong-Heon;Jeong, Hang-Jin
    • Journal of the Korean Society of Food Culture
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    • v.22 no.6
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    • pp.794-800
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    • 2007
  • The purpose of this study was to measure the tourists' preference for alternative restaurants with different combinations of 4 attribute levels: origin description, food type, price and service guarantee. A total of 210 questionnaires were completed from tourists who visited Kwangyang, Suncheon and Yeosu during Jan. 2 - Jan. 15, 2007. Conjoint experiment method was used to develop hypothetical restaurants. Ordinal probit model was used to measure the effects of attribute levels on the tourists' preference. Results of the study demonstrated that the ordinal probit model analysis result for the data indicated excellent model fit. The effects of attribute levels (origin description, traditional food, fusion food, price, service guarantee) on the tourists' preference were statistically significant. As expected, estimates of marginal willingness to pay for origin description(3.063), food type(2.349), and service guarantee(2.356) were statistically significant. Moreover, tourists were more willing to pay for origin description than other attribute levels. Tourists also considered the origin description as the very important attribute. In conclusion, based on conjoint analysis, a model was proposed of marginal willingness to pay of attribute levels. It should be noted that the original model was modified and should, preferably, be validated in future research.

Model assessment with residual plot in logistic regression (로지스틱회귀에서 잔차산점도를 이용한 모형평가)

  • Kahng, Myung Wook
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.1
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    • pp.141-150
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    • 2015
  • Graphical paradigms for assessing the adequacy of models in logistic regression are discussed. The residual plot has been widely used as a graphical tool for evaluating the adequacy of the model. However, this approach works well only for linear models with constant variance, and the alternative approach, the marginal model plot, has its defects as well. We suggest a Chi-residual plot that overcomes the potential shortcomings of the marginal model plot.

SOME POPULAR WAVELET DISTRIBUTION

  • Nadarajah, Saralees
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.2
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    • pp.265-270
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    • 2007
  • The modern approach for wavelets imposes a Bayesian prior model on the wavelet coefficients to capture the sparseness of the wavelet expansion. The idea is to build flexible probability models for the marginal posterior densities of the wavelet coefficients. In this note, we derive exact expressions for a popular model for the marginal posterior density.

Laplace-Metropolis Algorithm for Variable Selection in Multinomial Logit Model (Laplace-Metropolis알고리즘에 의한 다항로짓모형의 변수선택에 관한 연구)

  • 김혜중;이애경
    • Journal of Korean Society for Quality Management
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    • v.29 no.1
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    • pp.11-23
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    • 2001
  • This paper is concerned with suggesting a Bayesian method for variable selection in multinomial logit model. It is based upon an optimal rule suggested by use of Bayes rule which minimizes a risk induced by selecting the multinomial logit model. The rule is to find a subset of variables that maximizes the marginal likelihood of the model. We also propose a Laplace-Metropolis algorithm intended to suggest a simple method forestimating the marginal likelihood of the model. Based upon two examples, artificial data and empirical data examples, the Bayesian method is illustrated and its efficiency is examined.

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The Marginal Value of Cash and Agency Conflicts in Korean Firms

  • Kim, Sang-Su;Lee, Jeong Hwan
    • The Journal of Asian Finance, Economics and Business
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    • v.3 no.4
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    • pp.5-16
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    • 2016
  • Prior literature expects a lower marginal cash value for weaker governance firms. We test this empirical hypothesis by using the sample of publicly traded Korean firms from 2005 to 2013. To measure the quality of governance structures, we employ the corporate governance scores provided by Korean Corporate Governance Services. The empirical model of Faulkender and Wang (2006) is adopted to estimate the marginal value of cash. Our empirical analysis shows a higher marginal value of cash for the good governance firms in the examination of the total governance score. This finding is consistent to the agency view of cash policy predicting a larger marginal value of cash for the firms with higher governance scores. However, this positive relationship is not robust for a subset of detailed governance scores; a lower marginal cash value is observed for the firms with better qualities of board structure, auditing, dividend policies. Moreover, our empirical analysis verifies a quite low level of marginal cash value for Korean firms, which supports the existence of severe agency conflicts in Korean corporations. Our results verify the significant role of agency conflicts between a manager and shareholders in the determination of marginal cash values in the Korean firms.