• Title/Summary/Keyword: Empirical Bayesian(EB) estimation

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SIMULTANEOUS ESTIMATION OF GAMMA SCALE PARAMETER UNDER ENTROPY LOSS:BAYESIAN APPROACH

  • Chung, Youn-Shik
    • Journal of applied mathematics & informatics
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    • v.3 no.1
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    • pp.55-64
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    • 1996
  • Let $X_1, ....$X_P be p($\geq$2) independent random variables, where each X1 has a gamma distribution with $k_i and ${\heta}_i$. The problem is to simultaneously estimate p gammar parameters ${\heta}_i$ under entropy loss where the parameters are believed priori. Hierarchical bayes(HB) and empirical bayes(EB) estimators are investigated. Next computer simulation is studied to compute the risk percentage improvement of the HB, EB and the estimator of Dey et al.(1987) compared to MVUE of ${\heta}$.

Evaluations of Small Area Estimations with/without Spatial Terms (공간 통계 활용에 따른 소지역 추정법의 평가)

  • Shin, Key-Il;Choi, Bong-Ho;Lee, Sang-Eun
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.229-244
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    • 2007
  • Among the small area estimation methods, it has been known that hierarchical Bayesian(HB) approach is the most reasonable and effective method. However any model based approaches need good explanatory variables and finding them is the key role in the model based approach. As the lacking of explanatory variables, adopting the spatial terms in the model was introduced. Here in this paper, we evaluate the model based methods with/without spatial terms using the diagnostic methods which were introduced by Brown et al. (2001). And Economic Active Population Survey(2005) is used for data analysis.

Safety Impacts of Red Light Enforcement on Signalized Intersections (교차로 신호위반 단속카메라 설치가 차량사고에 미치는 영향)

  • Lee, Sang Hyuk;Lee, Yong Doo;Do, Myung Sik
    • Journal of Korean Society of Transportation
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    • v.30 no.6
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    • pp.93-102
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    • 2012
  • The frequency and severity of traffic accidents related to signalized intersections in urban areas have been more serious than those in both arterial segments and crosswalks. Especially, traffic accidents involved with injuries and fatalities have caused by traffic signal violations within intersections. Therefore, many countries including Korea have installed the red light enforcement camera (RLE) to reduce traffic accidents associated with the traffic signal violation. Meanwhile, many methodologies have been studied in terms of safety impacts estimation of red light enforcement, which, however, cannot be easy to conduct. In this study, safety impacts was estimated for intersections of Chicago downtown area using SPF models and EB approach. As a result, for all crash types and target traffic accident types such as "angle", "rear end", "sideswipe in the same and other directions", "turn", and "head on", fatal crashes were reduced by 26% and 38%. However, RLE may increase property-demage-only-crashes by 3.23% and 1.16%, respectively.