• Journal of the Korean Data and Information Science Society
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• 제10권1호
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• pp.11-18
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• 1999

To estimate the mean and the variance of a lognormal distribution, Finney (1941) derived the uniformly minimun variance unbiased estimators(UMVUE) in the form of infinite series. However, the conditions ${\sigma}^{2}\;>\;n\;and\;{\sigma}^{2}\;<\;\frac{n}{4}$ for computing $E(\hat{\theta}_{AM})\;and\;E(\hat{\eta}^{2}_{AM})$ are necessary. In this paper, we give an alternative derivation of the UMVUE's.

• Asian-Australasian Journal of Animal Sciences
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• 제18권8호
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• pp.1066-1070
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• 2005

To estimate the cumulative power of discrimination (CPD) existing within Haimen chicken populations in China, we isolated a total of 252 genomic DNAs from four chicken populations (Rugao, Jiangchun, Wan-Nan and Cshiqishi) through a saturated salt procedure. All the genomic DNAs were used in a polymerase chain reaction (PCR) with ten microsatellite markers. Amplified PCR-products with the selected markers were separated on a 12% polyacrylamide gel with pBR322DNA/MspI used as internal standard marker. Genetic diversity indices including mean allele number among loci, unbiased heterozygosity ($h_i$) within locus, effective number of alleles ($N_e$) and polymorphism information content (PIC) as well as the unbiased average heterozygosity (H) among loci in the populations were calculated using the generated allele frequencies by each marker. The mean allele number for all loci ranged between 4.00${\pm}$0.33 (Rugao) to 4.90${\pm}$0.48 (Cshiqishi) and across populations for all loci was 4.60${\pm}$0.20, while (H) ranged from 0.65${\pm}$0.03 (Rugao) to 0.69${\pm}$0.03 (Jiangchun) among loci and across populations, (H) was 0.67${\pm}$0.01. The generated unbiased average heterozygosity among loci in each population was integrated to the global formula of CPD and the result demonstrated that the CPD within the four Haimen chicken populations was 98.75%.

• 농업과학연구
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• 제48권4호
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• pp.681-691
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• 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.

• 한국전자파학회논문지
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• 제20권1호
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• pp.100-106
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• 2009

본 논문에서는 직교 위상 수신기에서 발생하는 동상 성분 채널과 직교 성분 채널간의 이득과 위상 불평형의 추정문제를 다룬다. 즉, 자동 보정 기능을 가지는 직교 위상 수신기에서의 백색 Gaussian 잡음을 고려한 통계적인 특성 분석을 통하여 제안된 알고리즘에 의한 추정값이 점근적으로 비편향 최소 분산 추정(asymptotically minimum-variance unbiased estimate) 특성을 가짐을 보여준다. 이를 위하여 먼저 자동 보정 알고리즘에서 사용하는 샘플링 값들에 대한 통계적인 특성을 구하고, 이 샘플 값들의 함수의 형태로 구해지는 이득과 위상 불평형 추정값들의 통계적인 특성을 분석하기 위해 추정값들의 확률분포함수를 구한다. 이를 기반으로 평균 함수 및 분산 함수를 계산하여 추정값들이 비편향 최소 분산 추정 특성을 나타냄을 확인한다.

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

• 응용통계연구
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• 제20권1호
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• pp.79-89
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• 2007

Arizono와 Ohta(1989)에 의해 소개된 정규성 검정은 쿨백-라이블러 판별정보를 이용하고 있으며, 검정통계량의 유도에 기반이 되는 판별정보의 추정량을 얻기 위해 Vasicek(1976)의 표본엔트로피와 분산의 최대가능도 추정량을 사용했다. 그런데 두 추정량은 편향성을 가지게 되므로 보다 정확한 판별정보의 추정을 위해 비편향 추정량을 사용하는 것이 바람직하다. 본 논문에서는 편향을 수정한 엔트로피 추정량과 분산의 균일최소분산비편향 추정량을 사용하여 판별정보의 추정량을 구하고 이로부터 유도되는 검정통계량을 사용하는 개선된 정규성 검정을 제시한다. 제안한 검정의 특성을 규명하고 검정력 비교를 위해서 모의실험을 수행한다.

• Asian-Australasian Journal of Animal Sciences
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• 제30권7호
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• pp.907-911
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• 2017

Objective: Intramuscular fat is one of the meat quality traits that is considered in the selection strategies for Hanwoo (Korean cattle). Different methods are used to estimate the breeding value of selection candidates. In the present work we focused on accuracy of different genotype relationship matrices as described by forni and pedigree based relationship matrix. Methods: The data set included a total of 778 animals that were genotyped for BovineSNP50 BeadChip. Among these 778 animals, 72 animals were sires for 706 reference animals and were used as a validation dataset. Single trait animal model (best linear unbiased prediction and genomic best linear unbiased prediction) was used to estimate the breeding values from genomic and pedigree information. Results: The diagonal elements for the pedigree based coefficients were slightly higher for the genomic relationship matrices (GRM) based coefficients while off diagonal elements were considerably low for GRM based coefficients. The accuracy of breeding value for the pedigree based relationship matrix (A) was 13% while for GRM (GOF, G05, and Yang) it was 0.37, 0.45, and 0.38, respectively. Conclusion: Accuracy of GRM was 1.5 times higher than A in this study. Therefore, genomic information will be more beneficial than pedigree information in the Hanwoo breeding program.

• Animal Bioscience
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• 제36권7호
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• pp.1003-1009
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• 2023

Objective: The objective was to compare (pedigree-based) best linear unbiased prediction (BLUP), genomic BLUP (GBLUP), and single-step GBLUP (ssGBLUP) methods for genomic evaluation of growth traits in a Mexican Braunvieh cattle population. Methods: Birth (BW), weaning (WW), and yearling weight (YW) data of a Mexican Braunvieh cattle population were analyzed with BLUP, GBLUP, and ssGBLUP methods. These methods are differentiated by the additive genetic relationship matrix included in the model and the animals under evaluation. The predictive ability of the model was evaluated using random partitions of the data in training and testing sets, consistently predicting about 20% of genotyped animals on all occasions. For each partition, the Pearson correlation coefficient between adjusted phenotypes for fixed effects and non-genetic random effects and the estimated breeding values (EBV) were computed. Results: The random contemporary group (CG) effect explained about 50%, 45%, and 35% of the phenotypic variance in BW, WW, and YW, respectively. For the three methods, the CG effect explained the highest proportion of the phenotypic variances (except for YW-GBLUP). The heritability estimate obtained with GBLUP was the lowest for BW, while the highest heritability was obtained with BLUP. For WW, the highest heritability estimate was obtained with BLUP, the estimates obtained with GBLUP and ssGBLUP were similar. For YW, the heritability estimates obtained with GBLUP and BLUP were similar, and the lowest heritability was obtained with ssGBLUP. Pearson correlation coefficients between adjusted phenotypes for non-genetic effects and EBVs were the highest for BLUP, followed by ssBLUP and GBLUP. Conclusion: The successful implementation of genetic evaluations that include genotyped and non-genotyped animals in our study indicate a promising method for use in genetic improvement programs of Braunvieh cattle. Our findings showed that simultaneous evaluation of genotyped and non-genotyped animals improved prediction accuracy for growth traits even with a limited number of genotyped animals.

• Communications for Statistical Applications and Methods
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• 제24권3호
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• pp.291-301
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• 2017

It is well known in a small sample that the maximum likelihood (ML) approach for variance components in the general linear model yields estimates that are biased downward. The ML estimate of residual variance tends to be downwardly biased. The underestimation of residual variance, which has implications for the estimation of marginal effects and asymptotic standard error of estimates, seems to be more serious in some limited dependent variable models, as shown by some researchers. An alternative frequentist's approach may be restricted or residual maximum likelihood (REML), which accounts for the loss in degrees of freedom and gives an unbiased estimate of residual variance. In this situation, the REML estimator is derived in a censored regression model. A small sample the REML is shown to provide proper inference on regression coefficients.

• 생명과학회지
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• 제20권7호
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• pp.1086-1092
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• 2010

본 연구는 토종닭 순계(적갈계통, 황갈계통), 토종닭 실용계와 오골계 및 외래품종(Hy-Line Brown: HB, White Leghorn: WL)을 대상으로 13종의 MS marker (ADL0309, ADL181, ADL190, ADL279, LEI0073, LEI0192, MCW083, MCW120, MCW153, MCW214, MCW217, MCW226, MCW322)을 활용하여 집단 및 품종간의 유전적 다양성을 분석 하였다. 13종의 MS marker 내에서 총 120개의 대립유전자를 확인 하였으며 평균 9.2개의 대립유전자를 보유한 것으로 나타났다. 관측된 이형질성, 기대되는 이형질성 및 PIC의 평균값은 각각 0.63, 0.72 그리고 0.678로 확인되었다. 가장 많은 평균대립유전자를 보유한 집단은 토종닭 실용계집단이 5.9로 확인 되었으며 기대되는 이형질성이 0.629로 비교적 높게 나타났다. 이는 토종닭 순계 집단을 이용한 3원 교잡을 통해 실용계집단을 생산하는 과정에서 기인한 것으로 추정된다. 집단 및 품종간의 유전적 유연관계를 분석한 결과 토종닭 순계집단 (R, Y)과 실용계집단(C)은 서로간에 가까운 유전적 거리를 유지하고 있는 것으로 확인되었다. 각 MS marker별 품종간의 이형접합률을 이용하여 각 개체들의 집단 내에서 품종을 식별 할 수 있는 확률인 누적품종식별력(CPD) 값을 계산한 결과 13종의 MS marker를 이용하여 개체의 품종을 구분할 수 있는 확률이 99.461%로 나타났다.