• Title/Summary/Keyword: hierarchical Bayesian

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Estimation and Forecasting of Dynamic Effects of Price Increase on Sales Using Panel Data (패널자료를 이용한 가격인상에 따른 판매량의 동적변화 추정 및 예측)

  • Park Sung-Ho;Jun Duk-Bin
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.2
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    • pp.157-167
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    • 2006
  • Estimating the effects of price increase on a company's sales is important task faced by managers. If consumer has prior information on price increase or expects it, there would be stockpiling and subsequent drops in sales. In addition, consumer can suppress demand in the short run. These factors make the sales dynamic and unstable. In this paper we develop a time series model to evaluate the sales patterns with stockpiling and short-term suppression of demand and also propose a forecasting procedure. For estimation, we use panel data and extend the model to Bayesian hierarchical structure. By borrowing strength across cross-sectional units, this estimation scheme gives more robust and reasonable result than one from the individual estimation. Furthermore, the proposed scheme yields improved predictive power in the forecasting of hold-out sample periods.

Small Domain Estimation of the Proportion Using Survey Weights

  • Kim, Dal-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.4
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    • pp.1179-1189
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    • 2007
  • In this paper, we estimate the proportion of individuals having health insurance in a given year for several small domains cross-classified by age, sex and other demographic characteristics using the data provided by the National Center for Health Statistics(NCHS). We employ Bayesian as well as frequentist methodology to obtain small domain estimates and the associated measures of precision. One of the new features of our study is that we utilize the survey weights along with the model to derive the small domain estimates.

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Hierarchical Bayesian Inference of Binomial Data with Nonresponse

  • Han, Geunshik;Nandram, Balgobin
    • Journal of the Korean Statistical Society
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    • v.31 no.1
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    • pp.45-61
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    • 2002
  • We consider the problem of estimating binomial proportions in the presence of nonignorable nonresponse using the Bayesian selection approach. Inference is sampling based and Markov chain Monte Carlo (MCMC) methods are used to perform the computations. We apply our method to study doctor visits data from the Korean National Family Income and Expenditure Survey (NFIES). The ignorable and nonignorable models are compared to Stasny's method (1991) by measuring the variability from the Metropolis-Hastings (MH) sampler. The results show that both models work very well.

Finite Population Total Estimation On Multistage Cluster Sampling

  • Geun-Shik Han;Yong-Chul Kim;Kiheon Choi
    • Communications for Statistical Applications and Methods
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    • v.3 no.2
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    • pp.161-168
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    • 1996
  • Multistage hierarchical models and Bayesian inferences about finite population total estimations are considered. Here, Gibbs sampling approach that can be used to predict the marginal posterior means needed for Bayesian inferences is proposed.

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Mixed-Initiative Interaction between Human and Service Robot using Hierarchical Bayesian Networks (계층적 베이지안 네트워크를 사용한 서비스 로봇과 인간의 상호 주도방식 의사소통)

  • Song Youn-Suk;Hong Jin-Hyuk;Cho Sung-Bae
    • Journal of KIISE:Software and Applications
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    • v.33 no.3
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    • pp.344-355
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    • 2006
  • In daily activities, the interaction between humans and robots is very important for supporting the user's task effectively. Dialogue may be useful to increase the flexibility and facility of interaction between them. Traditional studies of robots have only dealt with simple queries like commands for interaction, but in real conversation it is more complex and various for using many ways of expression, so people can often omit some words relying on the background knowledge or the context of the discourse. Since the same queries can have various meaning by this reason, it is needed to manage this situation. In this paper we propose a method that uses hierarchical bayesian networks to implement mixed-initiative interaction for managing vagueness of conversation in the service robot. We have verified the usefulness of the proposed method through the simulation of the service robot and usability test.

How can the post-war reconstruction project be carried out in a stable manner? - terrorism prediction using a Bayesian hierarchical model (전후 재건사업을 안정적으로 진행하려면? - 베이지안 계층모형을 이용한 테러 예측)

  • Eom, Seunghyun;Jang, Woncheol
    • The Korean Journal of Applied Statistics
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    • v.35 no.5
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    • pp.603-617
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    • 2022
  • Following the September 11, 2001 terrorist attacks, the United States declared war on terror and invaded Afghanistan and Iraq, winning quickly. However, interest in analyzing terrorist activities has developed as a result of a significant amount of time being spent on the post-war stabilization effort, which failed to minimize the number of terrorist activities that occurred later. Based on terrorist data from 2003 to 2010, this study utilized a Bayesian hierarchical model to forecast the terrorist threat in 2011. The model depicts spatiotemporal dependence with predictors such as population and religion by autonomous district. The military commander in charge of the region can utilize the forecast value based on the our model to prevent terrorism by deploying forces efficiently.

Spatial distribution and uncertainty of daily rainfall for return level using hierarchical Bayesian modeling combined with climate and geographical information (기후정보와 지리정보를 결합한 계층적 베이지안 모델링을 이용한 재현기간별 일 강우량의 공간 분포 및 불확실성)

  • Lee, Jeonghoon;Lee, Okjeong;Seo, Jiyu;Kim, Sangdan
    • Journal of Korea Water Resources Association
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    • v.54 no.10
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    • pp.747-757
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    • 2021
  • Quantification of extreme rainfall is very important in establishing a flood protection plan, and a general measure of extreme rainfall is expressed as an T-year return level. In this study, a method was proposed for quantifying spatial distribution and uncertainty of daily rainfall depths with various return periods using a hierarchical Bayesian model combined with climate and geographical information, and was applied to the Seoul-Incheon-Gyeonggi region. The annual maximum daily rainfall depth of six automated synoptic observing system weather stations of the Korea Meteorological Administration in the study area was fitted to the generalized extreme value distribution. The applicability and reliability of the proposed method were investigated by comparing daily rainfall quantiles for various return levels derived from the at-site frequency analysis and the regional frequency analysis based on the index flood method. The uncertainty of the regional frequency analysis based on the index flood method was found to be the greatest at all stations and all return levels, and it was confirmed that the reliability of the regional frequency analysis based on the hierarchical Bayesian model was the highest. The proposed method can be used to generate the rainfall quantile maps for various return levels in the Seoul-Incheon-Gyeonggi region and other regions with similar spatial sizes.

A Method of Obtaning Least Squares Estimators of Estimable Functions in Classification Linear Models

  • Kim, Byung-Hwee;Chang, In-Hong;Dong, Kyung-Hwa
    • Journal of the Korean Statistical Society
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    • v.28 no.2
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    • pp.183-193
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    • 1999
  • In the problem of estimating estimable functions in classification linear models, we propose a method of obtaining least squares estimators of estimable functions. This method is based on the hierarchical Bayesian approach for estimating a vector of unknown parameters. Also, we verify that estimators obtained by our method are identical to least squares estimators of estimable functions obtained by using either generalized inverses or full rank reparametrization of the models. Some examples are given which illustrate our results.

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Bayesian small area estimations with measurement errors

  • Goo, You Mee;Kim, Dal Ho
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.885-893
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    • 2013
  • This paper considers Bayes estimations of the small area means under Fay-Herriot model with measurement errors. We provide empirical Bayes predictors of small area means with the corresponding jackknifed mean squared prediction errors. Also we obtain hierarchical Bayes predictors and the corresponding posterior standard deviations using Gibbs sampling. Numerical studies are provided to illustrate our methods and compare their eciencies.

Bayesian Estimation of the Normal Means under Model Perturbation

  • Kim, Dal-Ho;Han, Seung-Cheol
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.1009-1019
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    • 2006
  • In this paper, we consider the simultaneous estimation problem for the normal means. We set up the model structure using the several different distributions of the errors for observing their effects of model perturbation for the error terms in obtaining the empirical Bayes and hierarchical Bayes estimators. We compare the performance of those estimators under model perturbation based on a simulation study.

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