• Title/Summary/Keyword: Bayesian 모형

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Variable selection for latent class analysis using clustering efficiency (잠재변수 모형에서의 군집효율을 이용한 변수선택)

  • Kim, Seongkyung;Seo, Byungtae
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.721-732
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    • 2018
  • Latent class analysis (LCA) is an important tool to explore unseen latent groups in multivariate categorical data. In practice, it is important to select a suitable set of variables because the inclusion of too many variables in the model makes the model complicated and reduces the accuracy of the parameter estimates. Dean and Raftery (Annals of the Institute of Statistical Mathematics, 62, 11-35, 2010) proposed a headlong search algorithm based on Bayesian information criteria values to choose meaningful variables for LCA. In this paper, we propose a new variable selection procedure for LCA by utilizing posterior probabilities obtained from each fitted model. We propose a new statistic to measure the adequacy of LCA and develop a variable selection procedure. The effectiveness of the proposed method is also presented through some numerical studies.

A Fast Bayesian Detection of Change Points Long-Memory Processes (장기억 과정에서 빠른 베이지안 변화점검출)

  • Kim, Joo-Won;Cho, Sin-Sup;Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.22 no.4
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    • pp.735-744
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    • 2009
  • In this paper, we introduce a fast approach for Bayesian detection of change points in long-memory processes. Since a heavy computation is needed to evaluate the likelihood function of long-memory processes, a method for simplifying the computational process is required to efficiently implement a Bayesian inference. Instead of estimating the parameter, we consider selecting a element from the set of possible parameters obtained by categorizing the parameter space. This approach simplifies the detection algorithm and reduces the computational time to detect change points. Since the parameter space is (0, 0.5), there is no big difference between the result of parameter estimation and selection under a proper fractionation of the parameter space. The analysis of Nile river data showed the validation of the proposed method.

Bayesian Algorithms for Evaluation and Prediction of Software Reliability (소프트웨어 신뢰도의 평가와 예측을 위한 베이지안 알고리즘)

  • Park, Man-Gon;Ray
    • The Transactions of the Korea Information Processing Society
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    • v.1 no.1
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    • pp.14-22
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    • 1994
  • This paper proposes two Bayes estimators and their evaluation algorithms of the software reliability at the end testing stage in the Smith's Bayesian software reliability growth model under the data prior distribution BE(a, b), which is more general than uniform distribution, as a class of prior information. We consider both a squared-error loss function and the Harris loss function in the Bayesian estimation procedures. We also compare the MSE performances of the Bayes estimators and their algorithms of software reliability using computer simulations. And we conclude that the Bayes estimator of software reliability under the Harris loss function is more efficient than other estimators in terms of the MSE performances as a is larger and b is smaller, and that the Bayes estimators using the beta prior distribution as a conjugate prior is better than the Bayes estimators under the uniform prior distribution as a noninformative prior when a>b.

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What determines the Electricity Price Volatility in Korea? (전력계통한계가격 변동성 결정요인 분석: 베이지안 변수선택 방법)

  • Lee, Seojin;Kim, Young Min
    • Environmental and Resource Economics Review
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    • v.31 no.3
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    • pp.393-417
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    • 2022
  • Using hourly SMP data from 2016 to 2020, this paper measures the weekly realized volatility and investigates the main force of its determinants. To this end, we extend the Bayesian variable selection by incorporating the regime-switching model which identifies important variables among a large number of predictors by regimes. We find that the increase in coal and nuclear generation, as well as solar power, reinforce the SMP volatility in both high volatility and low volatility regime. In contrast the increase in gas generation and gas price decrease SMP volatility when SMP volatility is high. These results suggest that the expansion of renewable energy according to 2050 Carbon Neutrality or energy transition policies increases SMP volatility but the increase in the gas generation or reduction of coal generation might offset its impact.

A Bayesian Test for First Order Autocorrelation in Regression Errors : An Application to SPC Approach (회귀모형 오차항의 1차 자기상관에 대한 베이즈 검정법 : SPC 분야에의 응용)

  • Kim, Hea-Jung;Han, Sung-Sil
    • Journal of Korean Society for Quality Management
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    • v.24 no.4
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    • pp.190-206
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    • 1996
  • In case measurements are made on units of production in time order, it is reasonable to expect that the measurement errors will sometimes be first order autocorrelated, and a technique to test such autocorrelation is required to give good control of the productive process. Tool-wear process provide an example for which regression model can sometimes be useful in modeling and controlling the process. For the control of such process, we present a simple method for testing first order autocorrelation in regression errors. The method is based on Bayesian test method via Bayes factor and derived by observing that in general, a Bayes factor can be written as the product of a quantity called the Savage-Dickey density ratio and a correction factor ; both terms are easily estimated from Gibbs sampling technique. Performance of the method is examined by means of Monte Carlo simulation. It is noted that the test not only achieves satisfactory power but eliminates the inconvenience occurred in using the well-known Durbin-Watson test.

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On the Bayesian Fecision Making Model of 2-Person Coordination Game (2인 조정게임의 베이지안 의사결정모형)

  • 김정훈;정민용
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.3
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    • pp.113-143
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    • 1997
  • Most of the conflict problems between 2 persons can be represented as a bi-matrix game, because player's utilities, in general, are non-zero sum and change according to the progress of game. In the bi-matrix game the equilibrium point set which satisfies the Pareto optimality can be a good bargaining or coordination solution. Under the condition of incomplete information about the risk attitudes of the players, the bargaining or coordination solution depends on additional elements, namely, the players' methods of making inferences when they reach a node in the extensive form of the game that is off the equilibrium path. So the investigation about the players' inference type and its effects on the solution is essential. In addition to that, the effect of an individual's aversion to risk on various solutions in conflict problems, as expressed in his (her) utility function, must be considered. Those kinds of incomplete information make decision maker Bayesian, since it is often impossible to get correct information for building a decision making model. In Baysian point of view, this paper represents an analytic frame for guessing and learning opponent's attitude to risk for getting better reward. As an example for that analytic frame. 2 persons'bi-matrix game is considered. This example explains that a bi-matrix game can be transformed into a kind of matrix game through the players' implicitly cooperative attitude and the need of arbitration.

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Test Analysis of the 「General Computer」 in College Scholastic Ability Test (대학수학능력시험 직업탐구영역의 「컴퓨터 일반」 교과 문항 분석)

  • Kim, JongHye;Kim, Yong;Kim, JaMee;Lee, WonGyu
    • The Journal of Korean Association of Computer Education
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    • v.9 no.6
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    • pp.11-18
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    • 2006
  • The purpose of this paper is to draw problems from analyzing "General Computer" questions of Career Searching Section in the College Scholastic Ability Test in 2005 and 2006 and to offer some suggestions about them. For the qualitative research, this paper analyzed content validity. For the quantitative research, this paper analyzed item difficulty and item discrimination by using Bayesian 1.0 based on 2-parameter item response model and this paper analyzed item reliability and distracters by using Testan 1.0. By analyzing "General Computer" questions, this paper would like to improve the quality of items and estimate item difficulty. Therefore, "General Computer" questions could be suggested as materials for developing reliable and discriminative questions.

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Review of Classification Models for Reliability Distributions from the Perspective of Practical Implementation (실무적 적용 관점에서 신뢰성 분포의 유형화 모형의 고찰)

  • Choi, Sung-Woon
    • Journal of the Korea Safety Management & Science
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    • v.13 no.1
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    • pp.195-202
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    • 2011
  • The study interprets each of three classification models based on Bath-Tub Failure Rate (BTFR), Extreme Value Distribution (EVD) and Conjugate Bayesian Distribution (CBD). The classification model based on BTFR is analyzed by three failure patterns of decreasing, constant, or increasing which utilize systematic management strategies for reliability of time. Distribution model based on BTFR is identified using individual factors for each of three corresponding cases. First, in case of using shape parameter, the distribution based on BTFR is analyzed with a factor of component or part number. In case of using scale parameter, the distribution model based on BTFR is analyzed with a factor of time precision. Meanwhile, in case of using location parameter, the distribution model based on BTFR is analyzed with a factor of guarantee time. The classification model based on EVD is assorted into long-tailed distribution, medium-tailed distribution, and short-tailed distribution by the length of right-tail in distribution, and depended on asymptotic reliability property which signifies skewness and kurtosis of distribution curve. Furthermore, the classification model based on CBD is relied upon conjugate distribution relations between prior function, likelihood function and posterior function for dimension reduction and easy tractability under the occasion of Bayesian posterior updating.

Predicting the Effect of Puzzle-based Computer Science Education Program for Improving Computational Thinking (컴퓨팅 사고력 신장을 위한 퍼즐 기반 컴퓨터과학 교육 프로그램의 효과 예측)

  • Oh, Jeong-Cheol;Kim, Jonghoon
    • Journal of The Korean Association of Information Education
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    • v.23 no.5
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    • pp.499-511
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    • 2019
  • The preceding study of this study developed puzzle-based computer science education programs to enhance the computational thinking of elementary school students over 1 to 3 times. The preceding study then applied such programs into the field, categorized the effects of education into CT creativity and CT cognitive ability to improve the education programs. Based on the results of these preceding studies, the hierarchical Bayesian inference modeling was performed using age and CT thinking ability as parameters. From the results, this study predicted the effectiveness of puzzle-based computer science education programs in middle and high schools and proposed major improvement areas and directions for puzzle-based computer science education programs that are to be deployed in the future throughout middle and high schools.

An Economic Analysis of Commercial Arbitration from the Game Theory Perspective: Theoretical Analysis and a Case Study (게임이론을 통한 상사중재의 경제학적 분석: 이론과 사례)

  • Kim, Sung-Ryong;Hwang, Seok-Joon;Hwang, Uk
    • Korea Trade Review
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    • v.43 no.6
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    • pp.1-24
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    • 2018
  • This study analyzes the dispute settlement of between arbitration and litigation using a game theoretical approach. Many studies on arbitration have so far focused on the relevant institutions. However, there are few theoretical studies that have focused on the demand side of arbitration. The model presented here suggests conditions under which arbitration form a perfect Bayesian Nash equilibrium, provided that the players strategically choose a dispute settlement tool. Furthermore, the suggested model is used to analyze simple cases of international commercial dispute cases.