Estimating Variance Components in a Class of Mixed Models by Restricted Maximum Likelihood

Maximum Likelihood from Incomplete Data Via the EM Algorithm

Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444

Introduction to Numerical Analysis.

Fröberg, C.-E., Stoer, J., & Bulirsch, R. Z. (1981) · Mathematics of Computation · doi:10.2307/2007454 · Cited by 5,519

Recovery of Inter-Block Information when Block Sizes are Unequal

Patterson, H. D., & Thompson, R. (1971) · Biometrika · doi:10.1093/biomet/58.3.545 · Cited by 4,073

Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems

Harville, D. A. (1977) · Journal of the American Statistical Association · doi:10.1080/01621459.1977.10480998 · Cited by 2,667

Linear Algebra and Its Applications

I., E., & Strang, G. (1976) · Mathematics of Computation · doi:10.2307/2005411 · Cited by 1,893

SIRE EVALUATION AND GENETIC TRENDS

Henderson, C. (1973) · Journal of Animal Science · doi:10.1093/ansci/1973.symposium.10 · Cited by 777

[Environment favorable to female physicians: introduction].

Kawashiro, N., Iino, Y., Kudo, F., & Suzuka, Y. (2010) · PubMed · doi:10.3950/jibiinkoka.113.719 · Cited by 776

A Tutorial on the SWEEP Operator

Goodnight, J. H. (1979) · The American Statistician · doi:10.1080/00031305.1979.10482685 · Cited by 159

Statistical and Computational Aspects of Mixed Model Analysis

Dempster, A. P., Patel, C. M., Selwyn, M. R., & Roth, A. J. (1984) · Journal of the Royal Statistical Society Series C (Applied Statistics) · doi:10.2307/2347446 · Cited by 110

Maximum Likelihood Estimation of Variance Components in Dairy Cattle Breeding Research

Schaeffer, L. R. (1976) · Journal of Dairy Science · doi:10.3168/jds.s0022-0302(76)84501-8 · Cited by 27

Evaluación fenotípica y genotípica de los caracteres de crecimiento en el esquema de selección del ovino segureño

Hernández, R., & Esbrí, J. M. (2011) · Dialnet (Universidad de la Rioja) · Cited by 2

Estimating genetic parameters using an animal model with imaginary effects

Thompson, R., & Meyer, K. (1990) · Génétique Sélection Évolution · doi:10.1051/gse:19900110 · Cited by 2

Computation of all eigenvalues of matrices used in restricted maximum likelihood estimation of variance components using sparse matrix techniques

Robert, C., & Ducrocq, V. (1996) · Genetics Selection Evolution · doi:10.1051/gse:19960103 · Cited by 2

A new selection procedure in animal breeding: classification, error rates and comparison with blup.

Pala, A. (2012) · Çanakkale Onsekiz Mart University AVESIS · Cited by 1

Genetic Correlations of Days open With Milk Yield and Metabolic Weight in Holstein and Brown Swiss Cows

Ríos-Utrera, Á., Robles, R. C. C., Galavíz-Rodríguez, J. R., Murillo, V. E. V., & Lagunes, J. L. (2015) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · Cited by 1

Estimation of genetic variance components and heritabilities for cut-flower yield in gerbera using least squares and maximum likelihood methods

Harding, J., Huang, H., & Byrne, T. G. (1996) · Euphytica · doi:10.1007/bf00029265 · Cited by 1

Efeito da endogamia sobre pesos pré-desmame em bovinos da raça Nelore mocho criados a pasto no bioma Cerrado

Lopes, F. B., Magnabosco, C. D. U., de Souza, F. M., de Assis, A. S., & Brunes, L. C. (2016) · Archivos de Zootecnia · doi:10.21071/az.v65i250.485 · Cited by 1

Evaluación genética del ganado criollo y sus cruces en Colombia

Elzo, M. A., Carlos Manrique, P., & Ossa, G. A. (1997) · Ciencia y Tecnología Agropecuaria · doi:10.21930/rcta.vol2_num1_art:161 · Cited by 1

Genetic analysis of Test Day Milk Yields of Brown Swiss cattle raised at Konuklar State Farm in Turkey, using MTDFREML (Short communication)

Zülkadir, U., & Aytekinhi, I. (2009) · South African Journal of Animal Science · doi:10.4314/sajas.v39i1.43540 · Cited by 1

Autoregressive model for genetic evaluation of longitudinal reproductive traits in Brazilian Holstein cattle

Silva, H. T., Lopes, P. S., Carvalheira, J. G. V., da Silva, D. A., Silva, A. A., Silva, F. F. E., Veroneze, R., Thompson, G., & Costa, C. N. (2020) · Reproduction in Domestic Animals · doi:10.1111/rda.13874 · Cited by 1

A multivariate heterogeneous variance components model for multi-environment studies with locational genetic effects

Karadağ, Ö. (2021) · Soft Computing · doi:10.1007/s00500-021-06132-2 · Cited by 1

A Monte-Carlo algorithm for maximum likelihood estimation of variance components

Xu, S., & Atchley, W. R. (1996) · Genetics Selection Evolution · doi:10.1186/1297-9686-28-4-329 · Cited by 1

REML Estimation of Genetic Correlations between Sexes on Beef Carcass Traits Using a Procedure of the Average Information Algorithm

Arakawa, A., & Iwaisaki, H. (2008) · Japanese Journal of Biometrics · doi:10.5691/jjb.29.97 · Cited by 1

Estimates of relationship between milk yield and age at first calving in Calcutta using multivariate REML

Chauhan, V. P. S., & Naraian, P. (1993) · Journal of the Indian Society of Agricultural Statistics · Cited by 1

Application of Householder's transformations and the QL algorithm to REML estimation of variance components

Konstantinov, K., & Erasmus, G. J. (1992) · South African Journal of Animal Science · Cited by 1

AN ALTERNATIVE FOR MIXED MODEL ANALYSES OF LARGE, MESSY DATA SETS (MTDFREML)

Vleck, L. D. V., & Splan, R. K. (1998) · Conference on Applied Statistics in Agriculture · doi:10.4148/2475-7772.1280 · Cited by 1

Computation of restricted maximum likelihood estimates of variance components

Takahashi, H. (1993) · doi:10.31274/rtd-180813-12876 · Cited by 1

Restricted Maximum likelihood ( REML )

Speed, T. P. (2004) · Encyclopedia of Statistical Sciences · doi:10.1002/0471667196.ess0337 · Cited by 1

Efeito da proporção de DNA de origem Bos taurus em características ligadas a precocidade sexual e de acabamento na raça Nelore

Figueiredo, L. G. G. (2005) · doi:10.11606/t.74.2005.tde-30112007-142217

Partial and conditional maximum likelihood for variance‐component estimation

Xu, S., Atchley, W. R., & Muir, W. M. (1994) · Journal of Animal Breeding and Genetics · doi:10.1111/j.1439-0388.1994.tb00456.x

MIVQUE estimation of genetic parameters for traits of dam and young traits in a prolific species

Baselga, M., & Camacho, J. (1993) · Journal of Animal Breeding and Genetics · doi:10.1111/j.1439-0388.1993.tb00737.x

Preliminary estimation of longevity for leopard and snow leopard populations

Sternicki, T., Góral, K., Olech, W., & Szwaczkowski, T. (2008) · Annals of Warsaw University of Life Sciences - SGGW - Animal Science

Modelos auto regressivos para contrastes na avaliação genética de bovinos leiteiros: consequencias da sua aplicação.

Vasconcelos, J. B. M. D. A. (2011)

Estimação de parâmetros genéticos para características de crescimento, reprodução e categóricas em uma população de bovinos de corte compostos (Bos taurus x Box indicus) sob abordagem bayesiana e modelos lineares generalizados mistos

de Oliveira, T. A. (2012) · doi:10.11606/t.11.2012.tde-26102012-101917

Quantitative genetic studies on growth and reproductive traits in broiler chickens

Koerhuis, A. N. M. (1996) · ERA

Universidade Federal do Pará Núcleo de Ciências Agrárias e Desenvolvimento Rural Empresa Brasileira de Pesquisa Agropecuária - Amazônia Oriental Universidade Federal Rural da Amazônia Programa de Pós-Graduação em Ciência Animal

de Menezes, B. P. (2009)

Heteroses materna e individual para ganho de peso pré-desmama em bovinos Nelore × Hereford e Nelore × Angus (Maternal and individual heterosis for preweaning daily gain in Nellore × Hereford and Nellore × Angus cattle)

Teixeira, R. D. A., & de Albuquerque, L. G. (2005)

GENETIC CORRELATIONS OF DAYS OPEN WITH MILK YIELD AND METABOLIC WEIGHT IN HOLSTEIN AND BROWN SWISS COWS Correlaciones genéticas de días abiertos con producción de leche y peso metabólico en vacas Holstein y Pardo Suizo

Ríos-Utrera, Á., Robles, R. C. C., Galavíz-Rodríguez, J. R., Murillo, V. E. V., & Lagunes-Lagunes, J. (2015)

Improving Biological Understanding and Complex Trait Prediction by Integrating Prior Information in Genomic Feature Models

Edwards, S. M. (2014) · doi:10.13140/2.1.2394.9767

Autoregressive single‐step model for genomic evaluation of longitudinal reproductive traits in portuguese holstein cattle

Silva, H. T., Lopes, P. S., Costa, C. N., Silva, A. A., da Silva, D. A., Silva, F. F. E., Veroneze, R., Thompson, G., & Carvalheira, J. G. V. (2020) · Journal of Animal Breeding and Genetics · doi:10.1111/jbg.12515

Genetic parameters of pork carcass components

Newcom, D. W. (2001) · doi:10.31274/rtd-20210128-76

Effects of cytoplasmic and nuclear inheritance on preweaning growth traits in three size lines of beef cattle

Northcutt, S. L. (1990) · doi:10.31274/rtd-180813-10291

A Multivariate Heterogeneous Variance Components Model for Multi-Environment Studies with Locational Genetic EffectsPreprint

Karadağ, Ö. (2021) · Research Square · doi:10.21203/rs.3.rs-241521/v1

References

(1992) · Wiley series in probability and statistics · doi:10.1002/9780470316856.refs

Building Genetic Models

Vleck, L. D. V. (2022) · Springer eBooks · doi:10.1007/978-1-4939-2493-6_1114-1

Peer Review #1 of "Whole-genome single-nucleotide polymorphism (SNP) marker discovery and association analysis with the eicosapentaenoic acid (EPA) and docosahexaenoic acid (DHA) content in Larimichthys crocea (v0.1)"

(2016) · PeerJ · doi:10.7287/peerj.2664v0.1/reviews/1

Peer Review #2 of "Whole-genome single-nucleotide polymorphism (SNP) marker discovery and association analysis with the eicosapentaenoic acid (EPA) and docosahexaenoic acid (DHA) content in Larimichthys crocea (v0.1)"

(2016) · PeerJ · doi:10.7287/peerj.2664v0.1/reviews/2

A Monte-Carlo algorithm for maximum likelihood estimation of variance components

Xu, S., & Atchley, W. R. (1996) · Genetics Selection Evolution · doi:10.1051/gse:19960402

Building Genetic Models

Vleck, L. D. V. (2022) · Encyclopedia of sustainability science and technology series · doi:10.1007/978-1-0716-2460-9_1114

Estimación de parámetros genéticos de características reproductivas en ganado bovino multirracial en condiciones tropicales

García-Bravo, L. A. G. B., Robles, R. C. C., Zárate-Martínez, J. P., Leyva–Ovalle, O. R., Ríos-Utrera, Á., Bermúdez, M. M., Velázquez, G. M., Villagómez‐Cortés, J. A., & Murillo, V. E. V. (2025) · Revista Bio Ciencias · doi:10.15741/revbio.12.e1604

Oral Bisphosphonates for Colorectal Cancer Prevention: A Meta-Analytic Reappraisal Beyond Bone Health

Giusto, E. A., Donghia, R., Giorgi, C., Pinton, P., & Fiorica, F. (2025) · Journal of Clinical Medicine · doi:10.3390/jcm14113702

Multitrait genomic prediction method in approximate genome-based kernel model

Liu, H., & Hai, L. A. N. (2026) · Genetics · doi:10.1093/genetics/iyag114

Antidepressants and breast cancer risk: a meta-analysis of exposure windows and cumulative use in nearly two million women

Giusto, E. A., Patergnani, S., Cutillo, M., Oteri, V., Guido, G., Giorgi, C., Pinton, P., & Fiorica, F. (2026) · BMC Medicine · doi:10.1186/s12916-026-05169-0

Estimation of Genetic Parameters via Gibbs Sampler using Animal Model for Economic Traits in Pigs

Cho, K. H. (2008) · Journal of Animal Science and Technology · doi:10.5187/jast.2008.50.1.019

Establishment of Hanwoo(Korean Cattle, Bos taurus, Linn.) Traceability System Using Radio Frequency Identification(RF-ID)

Seo, K. S. ;. (2008) · Journal of Animal Science and Technology · doi:10.5187/jast.2008.50.1.001

Restricted Maximum Likelihood Estimation of Variance Components for Univariate Animal Models Using Sparse Matrix Techniques and Average Information

Johnson, D. L., & Thompson, R. (1995) · Journal of Dairy Science · doi:10.3168/jds.s0022-0302(95)76654-1 · Cited by 336

Estimation of Components of Variance by Method 3 and Henderson's New Method

Hudson, G., & Vleck, L. D. V. (1982) · Journal of Dairy Science · doi:10.3168/jds.s0022-0302(82)82210-8 · Cited by 23

Between Algorithms: A “Short Cut” Restricted Maximum Likelihood Procedure to Estimate Variance Components

Meyer, K. (1986) · Journal of Dairy Science · doi:10.3168/jds.s0022-0302(86)80617-8 · Cited by 26

A shortcut maximum likelihood procedure to estimate variance and covariance components in a mixed model. Unpublished manuscript

Meyer, K. (1982)

The EM-REML Iteration Equations for Estimation of Variance Components in a Sire and Dam Model.

Saito, S., & Iwaisaki, H. (1995) · Japanese Journal of Biometrics · doi:10.5691/jjb.16.1 · Cited by 1