• 제목/요약/키워드: gibbs sampling

검색결과 168건 처리시간 0.024초

Bayesian Inference for Predicting the Default Rate Using the Power Prior

  • Kim, Seong-W.;Son, Young-Sook;Choi, Sang-A
    • Communications for Statistical Applications and Methods
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    • 제13권3호
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    • pp.685-699
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    • 2006
  • Commercial banks and other related areas have developed internal models to better quantify their financial risks. Since an appropriate credit risk model plays a very important role in the risk management at financial institutions, it needs more accurate model which forecasts the credit losses, and statistical inference on that model is required. In this paper, we propose a new method for estimating a default rate. It is a Bayesian approach using the power prior which allows for incorporating of historical data to estimate the default rate. Inference on current data could be more reliable if there exist similar data based on previous studies. Ibrahim and Chen (2000) utilize these data to characterize the power prior. It allows for incorporating of historical data to estimate the parameters in the models. We demonstrate our methodologies with a real data set regarding SOHO data and also perform a simulation study.

소비자 선호 관점에서 본 차세대 무선 이동통신 단말기의 미래 (The Future of the New Mobile Telecommunication Terminal in the View of the Consumers' Preferences)

  • 김연배;이정동;고대영;김태유
    • 기술혁신연구
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    • 제12권1호
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    • pp.189-218
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    • 2004
  • In this paper, we estimate consumers' preferences for the key attributes of the future mobile telecommunication terminal using conjoint analysis. For statistical model, we estimate the mixed legit model which can reflect the heterogeneity of consumers' preferences, using the Bayesian approach with Gibbs sampling. The results show that there are large variations in consumers' preferences for the attributes of the future mobile telecommunication terminal, which justifies our using of mixed logit model. Also, the results show that most consumers prefer the medium size display and keyboard as input equipment. Additionally, far from general prediction, the results show that many consumers are indifferent to whether the future mobile telecommunication terminal is able to provide high quality internet service or not, and to operate many application programs and programs originally designed for PC. From those results, we can obtain some important implications for the R&D strategies. Additionally, the results on the heterogeneity of consumers' preferences reveal that it is possible that the complete device convergence may not happen.

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A Bayesian Approach to Detecting Outliers Using Variance-Inflation Model

  • Lee, Sangjeen;Chung, Younshik
    • Communications for Statistical Applications and Methods
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    • 제8권3호
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    • pp.805-814
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    • 2001
  • The problem of 'outliers', observations which look suspicious in some way, has long been one of the most concern in the statistical structure to experimenters and data analysts. We propose a model for outliers problem and also analyze it in linear regression model using a Bayesian approach with the variance-inflation model. We will use Geweke's(1996) ideas which is based on the data augmentation method for detecting outliers in linear regression model. The advantage of the proposed method is to find a subset of data which is most suspicious in the given model by the posterior probability The sampling based approach can be used to allow the complicated Bayesian computation. Finally, our proposed methodology is applied to a simulated and a real data.

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Bayesian inference in finite population sampling under measurement error model

  • Goo, You Mee;Kim, Dal Ho
    • Journal of the Korean Data and Information Science Society
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    • 제23권6호
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    • pp.1241-1247
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    • 2012
  • The paper considers empirical Bayes (EB) and hierarchical Bayes (HB) predictors of the finite population mean under a linear regression model with measurement errors We discuss how to calculate the mean squared prediction errors of the EB predictors using jackknife methods and the posterior standard deviations of the HB predictors based on the Markov Chain Monte Carlo methods. A simulation study is provided to illustrate the results of the preceding sections and compare the performances of the proposed procedures.

Methods and Techniques for Variance Component Estimation in Animal Breeding - Review -

  • Lee, C.
    • Asian-Australasian Journal of Animal Sciences
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    • 제13권3호
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    • pp.413-422
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    • 2000
  • In the class of models which include random effects, the variance component estimates are important to obtain accurate predictors and estimators. Variance component estimation is straightforward for balanced data but not for unbalanced data. Since orthogonality among factors is absent in unbalanced data, various methods for variance component estimation are available. REML estimation is the most widely used method in animal breeding because of its attractive statistical properties. Recently, Bayesian approach became feasible through Markov Chain Monte Carlo methods with increasingly powerful computers. Furthermore, advances in variance component estimation with complicated models such as generalized linear mixed models enabled animal breeders to analyze non-normal data.

Bayesian Inference for Censored Panel Regression Model

  • Lee, Seung-Chun;Choi, Byongsu
    • Communications for Statistical Applications and Methods
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    • 제21권2호
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    • pp.193-200
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    • 2014
  • It was recognized by some researchers that the disturbance variance in a censored regression model is frequently underestimated by the maximum likelihood method. This underestimation has implications for the estimation of marginal effects and asymptotic standard errors. For instance, the actual coverage probability of the confidence interval based on a maximum likelihood estimate can be significantly smaller than the nominal confidence level; consequently, a Bayesian estimation is considered to overcome this difficulty. The behaviors of the maximum likelihood and Bayesian estimators of disturbance variance are examined in a fixed effects panel regression model with a limited dependent variable, which is known to have the incidental parameter problem. Behavior under random effect assumption is also investigated.

On a Bayes Criterion for the Goodness-of-Link Test for Binary Response Regression Models : Probit Link versus Logit Link

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • 제26권2호
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    • pp.261-276
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    • 1997
  • In the context of binary response regression, the problem of constructing Bayesian goodness-of-link test for testing logit link versus probit link is considered. Based upon the well known facts that cdf of logistic variate .approx. cdf of $t_{8}$/.634 and, as .nu. .to. .infty., cdf of $t_{\nu}$ approximates to that of N(0,1), Bayes factor is derived as a test criterion. A synthesis of the Gibbs sampling and a marginal likelihood estimation scheme is also proposed to compute the Bayes factor. Performance of the test is investigated via Monte Carlo study. The new test is also illustrated with an empirical data example.e.

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A Space-Time Model with Application to Annual Temperature Anomalies;

  • Lee, Eui-Kyoo;Moon, Myung-Sang;Gunst, Richard F.
    • Communications for Statistical Applications and Methods
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    • 제10권1호
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    • pp.19-30
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    • 2003
  • Spatiotemporal statistical models are used for analyzing space-time data in many fields, such as environmental sciences, meteorology, geology, epidemiology, forestry, hydrology, fishery, and so on. It is well known that classical spatiotemporal process modeling requires the estimation of space-time variogram or covariance functions. In practice, the estimation of such variogram or covariance functions are computationally difficult and highly sensitive to data structures. We investigate a Bayesian hierarchical model which allows the specification of a more realistic series of conditional distributions instead of computationally difficult and less realistic joint covariance functions. The spatiotemporal model investigated in this study allows both spatial component and autoregressive temporal component. These two features overcome the inability of pure time series models to adequately predict changes in trends in individual sites.

Holstein 젖소의 선형심사형질과 등급형질에 대한 유전변이 추정 (Estimation of Genetic Variations for Linear Type Traits and Composite Traits on Holstein Cows)

  • 이득환
    • Journal of Animal Science and Technology
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    • 제48권2호
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    • pp.161-168
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    • 2006
  • Genetic parameters for linear type and composite traits were estimated by using Bayesian inference via Gibbs sampling with a multiple threshold animal model in Holstein cows. Fifteen linear type traits and 5 composite traits were included to estimate genetic variance and covariance components in the model. In this study, 30,204 records were obtained in the cows from 305 sires. Heritability estimates for linear type traits had the estimates as high as 0.28~0.64. Heritability estimates for composite traits were also high, when the traits were assumed to be categorical traits. Final score was more correlated with the composite traits than with the linear type traits.

베이지안 추정법을 이용한 양분선택형 조건부 가치측정모형의 분석 (Using Bayesian Estimation Technique to Analyze a Dichotomous Choice Contingent Valuation Data)

  • 유승훈
    • 자원ㆍ환경경제연구
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    • 제11권1호
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    • pp.99-119
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    • 2002
  • As an alternative to classical maximum likelihood approach for analyzing dichotomous choice contingent valuation (DCCV) data, this paper develops a Bayesian approach. By using the idea of Gibbs sampling and data augmentation, the approach enables one to perform exact inference for DCCV models. A by-product from the approach is welfare measure, such as the mean willingness to pay, and its confidence interval, which can be used for policy analysis. The efficacy of the approach relative to the classical approach is discussed in the context of empirical DCCV studies. It is concluded that there appears to be considerable scope for the use of the Bayesian analysis in dealing with DCCV data.

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