• International Journal of Reliability and Applications
• /
• 제7권2호
• /
• pp.187-201
• /
• 2006

In this paper, we derive recurrence relations for the single and product moments of progressively Type-II right censored order statistics from half logistic distribution. Next, we derive the maximum likelihood estimators (MLEs) of the location and scale parameters of the half logistic distribution. In addition, we use the setup proposed by Balakrishnan and Aggarwala (2000) to compute the approximate best linear unbiased estimates (ABLUEs) of the location and scale parameters. Finally, we point out a simulation study to compare between the efficiency of the techniques considered for the estimation.

• 농업과학연구
• /
• 제48권4호
• /
• pp.681-691
• /
• 2021

The estimated breeding value (EBV) and accuracy of Hanwoo steer (Korean cattle) is an indicator that can predict the slaughter time in the future and carcass performance outcomes. Recently, studies using pedigrees and genotypes are being actively conducted to improve the accuracy of the EBV. In this study, the pedigree and genotype of 46 steers obtained from livestock farm A in Gyeongnam were used for a pedigree best linear unbiased prediction (PBLUP) and a genomic best linear unbiased prediction (GBLUP) to estimate and analyze the breeding value and accuracy of the carcass weight (CWT), eye muscle area (EMA), back-fat thickness (BFT), and marbling score (MS). PBLUP estimated the EBV and accuracy by constructing a numeric relationship matrix (NRM) from the 46 steers and reference population I (545,483 heads) with the pedigree and phenotype. GBLUP estimated genomic EBV (GEBV) and accuracy by constructing a genomic relationship matrix (GRM) from the 46 steers and reference population II (16,972 heads) with the genotype and phenotype. As a result, in the order of CWT, EMA, BFT, and MS, the accuracy levels of PBLUP were 0.531, 0.519, 0.524 and 0.530, while the accuracy outcomes of GBLUP were 0.799, 0.779, 0.768, and 0.810. The accuracy estimated by GBLUP was 50.1 - 53.1% higher than that estimated by PBLUP. GEBV estimated with the genotype is expected to show higher accuracy than the EBV calculated using only the pedigree and is thus expected to be used as basic data for genomic selection in the future.

• 생명과학회지
• /
• 제32권4호
• /
• pp.279-284
• /
• 2022

본 연구는 일반농가에서 적용 가능한 유전평가시스템을 구축을 위해 경기 지역에서 사육중인 암소 619두를 BLUP (Best Linear Unbiased Prediction)과 GBLUP (Genomic Best Linear Unbiased Prediction)을 사용하여 각 형질(도체중, 등심단면적, 등지방두께, 근내지방도) 별 추정 육종가의 정확도를 비교분석 하였다. GBLUP의 경우 참조집단의 크기를 다르게 그룹을 나누어 분석하였다. 분석결과 GBLUP 참조집단의 크기가 커질수록 각 형질의 육종가의 정확도도 상승하는 것을 확인 하였다. BLUP과 GBLUP 방법을 사용하여 추정한 육종가의 정확도를 비교하면, GBLUP 방법을 사용하여 육종가를 추정하였을 때 도체중, 등심단면적, 등지방두께 근내지방도순으로 각각 0.10, 0.09, 0.09, 0.11 이상 상승한 것을 확인할 수 있었다. 따라서, GBLUP 방법을 암소 평가 및 선발에 적용한다면, 정밀하고 정확한 개체 선발이 가능하고 참조집단의 크기를 더욱 키운다면 보다 정확한 개체 선발을 할 수 있기 때문에 선발의 효율성이 증가할 것으로 사료된다.

• ETRI Journal
• /
• 제34권4호
• /
• pp.511-517
• /
• 2012

The best linear unbiased estimator (BLUE) is most suitable for practical application and can be determined with knowledge of only the first and second moments of the probability density function. Although the BLUE is an existing algorithm, it is still largely unexplored and has not yet been applied to channel estimation in amplify and forward (AF)-based wireless relay networks (WRNs). In this paper, a BLUE-based algorithm is proposed to estimate the overall channel impulse response between the source and destination of AF strategy-based WRNs. Theoretical mean square error (MSE) performance for the BLUE is derived to show the accuracy of the proposed channel estimation algorithm. In addition, the Cram$\acute{e}$r-Rao lower bound (CRLB) is derived to validate the MSE performance. The proposed BLUE channel estimation algorithm approaches the CRLB as the length of the training sequence and number of relays increases. Further, the BLUE performs better than the linear minimum MSE estimator due to the minimum variance characteristic exhibited by the BLUE, which happens to be a function of signal-to-noise ratio.

• East Asian mathematical journal
• /
• 제5권1호
• /
• pp.95-110
• /
• 1989

In a general variance component model, nonnegative quadratic estimators of the components of variance are considered which are invariant with respect to mean value translaion and have minimum bias (analogously to estimation theory of mean value parameters). Here the minimum is taken over an appropriate cone of positive semidefinite matrices, after having made a reduction by invariance. Among these estimators, which always exist the one of minimum norm is characterized. This characterization is achieved by systems of necessary and sufficient condition, and by a cone restricted pseudoinverse. In models where the decomposing covariance matrices span a commutative quadratic subspace, a representation of the considered estimator is derived that requires merely to solve an ordinary convex quadratic optimization problem. As an example, we present the two way nested classification random model. An unbiased estimator is derived for the mean squared error of any unbiased or biased estimator that is expressible as a linear combination of independent sums of squares. Further, it is shown that, for the classical balanced variance component models, this estimator is the best invariant unbiased estimator, for the variance of the ANOVA estimator and for the mean squared error of the nonnegative minimum biased estimator. As an example, the balanced two way nested classification model with ramdom effects if considered.

• 응용통계연구
• /
• 제15권1호
• /
• pp.119-128
• /
• 2002

Rao와 Yu(1994)는 소지역 추정(small area estimation) 문제를 해결하기 위한 방법으로 추정 시점과 인접지역 정보 등 보조정보와 과걱의 표본조사 결과를 모두 이용하는 모형과 그 모형으로 부터 경험적최량선형비편향추정량(Empirical Best Unbiased Predictor)을 제안하였다. 본 논문에서는 Rao와 Yu의 모형에서 미지의 모수에 대한 사전확률분포를 가정한 계층적 베이즈 추정량을 제안하고, 이를 미국의 주별 4인가족 소득추정문제에 적용하여 그 효율을 미국의 Census Bureau에서 사용하고 있는 경험적 베이즈추정량 및 이전에 제안된 다른 추정량들과 비교하였다.

• Journal of the Korean Data and Information Science Society
• /
• 제14권4호
• /
• pp.799-803
• /
• 2003

We obtained the best linear unbiased estimator for the scale parameter of the generalized Pareto Distribution by the order statistics.

• Asian-Australasian Journal of Animal Sciences
• /
• 제30권2호
• /
• pp.149-153
• /
• 2017

Objective: This study was to determine the relationship between estimated breeding value and phenotype information after farrowing when juvenile selection was made in candidate pigs without phenotype information. Methods: After collecting phenotypic and genomic information for the total number of piglets born by Landrace pigs, selection accuracy between genomic breeding value estimates using genomic information and breeding value estimates of best linear unbiased prediction (BLUP) using conventional pedigree information were compared. Results: Genetic standard deviation (${\sigma}_a$) for the total number of piglets born was 0.91. Since the total number of piglets born for candidate pigs was unknown, the accuracy of the breeding value estimated from pedigree information was 0.080. When genomic information was used, the accuracy of the breeding value was 0.216. Assuming that the replacement rate of sows per year is 100% and generation interval is 1 year, genetic gain per year is 0.346 head when genomic information is used. It is 0.128 when BLUP is used. Conclusion: Genetic gain estimated from single step best linear unbiased prediction (ssBLUP) method is by 2.7 times higher than that the one estimated from BLUP method, i.e., 270% more improvement in efficiency.

• Journal of the Korean Statistical Society
• /
• 제26권2호
• /
• pp.245-259
• /
• 1997

The paper shows that certain hierachical Bayes (HB) predictors for small domain data in repeated surveys "universally" or "stochastically" dominate all linear unbiased predictors. Also, the HB predictors are "best" within the class of all equivariant predictors under a certain group of transformations.tain group of transformations.

• 한국시뮬레이션학회논문지
• /
• 제2권1호
• /
• pp.125-133
• /
• 1993

A statistical method is described for estimation of the unknown constants in a theory using both of the computer simulation data and the real experimental data, The best linear unbiased predictor based on a spatial linear model is fitted from the computer simulation data alone. Then nonlinear least squares estimation method is applied to the real experimental data using the fitted prediction model as if it were the true simulation model. An application to the computational nuclear fusion devices is presented, where the nonlinear least squares estimates of four transport coefficients of the theoretical nuclear fusion model are obtained.