• Title/Summary/Keyword: MVUE

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Seven-Parameter Log Linear Model for Estimating Constituent Loads in Nakdong River (7변수 대수선형모형을 이용한 낙동강 오염부하량 추정)

  • Lee, A-Yeon;Choi, Dae-Gyu;Kim, Sang-Dan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.1400-1404
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    • 2010
  • In this study the flow duration curves and load duration curves for Nakdong river basin are analyzed. The TANK model is used as s hydrologic simulation model whose parameters are estimated from 8-days intervals flow data measured by Nakdong River Water Environment Laboratory. also in this study a Minimum Variance Unbiased Estimator(MVUE) is confirmed that it provides satisfactory load estimate. The Seven-Parameter Log Linear Model for estimating Total Organic Carbon(TOC) and Biochemical Oxygen Demand(BOD) loads in Nakdong river using a MVUE.

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Improvement of Suspended Solid Loads Estimation in Nakdong River Using Minimum Variance Unbiased Estimator (비편향 회귀분석모형을 이용한 낙동강 본류 부유사량 산정방법의 신뢰도 향상)

  • Han, Suhee;Kang, Du Kee;Shin, Hyun Suk;Yu, Jae-Jeong;Kim, Sangdan
    • Journal of Korean Society on Water Environment
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    • v.23 no.2
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    • pp.251-259
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    • 2007
  • In this study three log-transformed linear regression models are compared with the focus of bias correction problem. The models are the traditional simple linear regression estimator (SL), the quasi maximum likelihood estimator (QMLE) and the minimum variance unbiased estimator (MVUE). Using such models, suspended solid loads can be estimated using the discharge - suspended solid data set that has been measured by NIER Nakdong River Water Environment Laboratory. As a result, SL shows negative bias for most values of the measured discharge range. QMLE is nearly unbiased for moderate values of the measured discharge range, but shows increasingly positive bias for either large or small value of the measured discharge range. MVUE is unbiased. It is also analyzed how the estimated regression coefficient and exponent are distributed along Nakdong river main stream.

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 ${\heta}$.

Bayes Estimation of Reliability in the Strength-Stress Models

  • Yum, Joon-Keun;Kim, Jae-Joo;Cho, Sin-Sup;Park, Hong-Nai
    • Journal of Korean Society for Quality Management
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    • v.22 no.2
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    • pp.69-78
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    • 1994
  • We obtain the Bayes estimator(BE), the minimum variance unbiased estimator(MVUE) and maximun likelihood estimator(MLE) of the reliability when the distribution of the stress and the strength are Weibull with known shape parameters. The experiment is terminated before all of the items on the test have failed and the failed items are partially replaced. Performance of the three estimators for moderate size samples are compared through Monte Carlo simulation.

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