Edit Profile (opens in new tab) Baksalary, Jerzy K. Compute Distance To: Compute Author ID: baksalary.jerzy-k Published as: Baksalary, Jerzy K.; Baksalary, J. K.; Baksalary, Jerzy more...less External Links: Wikidata Documents Indexed: 120 Publications since 1976 1 Contribution as Editor Biographic References: 3 Publications Co-Authors: 35 Co-Authors with 111 Joint Publications 955 Co-Co-Authors all top 5 Co-Authors 10 single-authored 37 Kala, Radosław 19 Baksalary, Oskar Maria 8 Markiewicz, Augustyn 8 Styan, George P. H. 7 Hauke, Jan 7 Puntanen, Simo 6 Dobek, Anita 6 Liu, Xiaoji 6 Trenkler, Götz 5 Pordzik, Paweł R. 4 Mathew, Thomas 4 Pukelsheim, Friedrich 3 Tabis, Zenon 2 Gnot, Stanisław 2 Puri, Praja D. 2 Rao, Calyampudi Radhakrishna 2 Szulc, Tomasz 1 Corsten, L. C. A. 1 Gross, Jürgen 1 Kageyama, Sanpei 1 Kik, Paulina 1 Kłaczyński, Krzysztof 1 Kotarbińkis, Tadeusz 1 Liski, Erkki P. 1 Liu, Sanyang 1 Mitra, Sujit Kumar 1 Molińska, Anna 1 Nordström, Kenneth 1 Nurhonen, Markku 1 Özdemir, Halim 1 Pukkila, Tarmo Mikko 1 Schipp, Bernhard 1 Šemrl, Peter 1 Siatkowski, Idzi 1 Yanai, Haruo all top 5 Serials 50 Linear Algebra and its Applications 22 Journal of Statistical Planning and Inference 5 The Annals of Statistics 4 The Canadian Journal of Statistics 4 Mathematische Operationsforschung und Statistik. Series Statistics 4 Sankhyā. Series A. Methods and Techniques 3 Linear and Multilinear Algebra 2 Zastosowania Matematyki 2 Biometrical Journal 2 Roczniki Polskiego Towarzystwa Matematycznego. Seria III. Matematyka Stosowana 2 SIAM Journal on Applied Mathematics 1 Scandinavian Journal of Statistics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Annals of the Institute of Statistical Mathematics 1 Biometrika 1 Journal of Multivariate Analysis 1 Statistica 1 Statistics & Probability Letters 1 Aequationes Mathematicae 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Computational Statistics and Data Analysis 1 Annales Societatis Mathematicae Polonae 1 Mathematische Operationsforschung und Statistik all top 5 Fields 73 Statistics (62-XX) 65 Linear and multilinear algebra; matrix theory (15-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Combinatorics (05-XX) 4 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 109 Publications have been cited 1,267 times in 725 Documents Cited by ▼ Year ▼ The matrix equation AXB+CYD=E. Zbl 0437.15005Baksalary, J. K.; Kala, R. 57 1980 Left-star and right-star partial orderings. Zbl 0717.15004Baksalary, Jerzy K.; Mitra, Sujit Kumar 52 1991 The matrix equation \(AX-YB=C\). Zbl 0403.15010Baksalary, J. K.; Kala, R. 50 1979 Idempotency of linear combinations of two idempotent matrices. Zbl 0984.15021Baksalary, Jerzy K.; Baksalary, Oskar Maria 48 2000 Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model. Zbl 0471.62067Baksalary, J. K.; Kala, R. 47 1981 Some properties of matrix partial orderings. Zbl 0681.15005Baksalary, Jerzy K.; Pukelsheim, Friedrich; Styan, George P. H. 45 1989 Nonnegative definite and positive definite solutions to the matrix equation \(AXA^*=B\). Zbl 0552.15009Baksalary, Jerzy K. 45 1984 A study of the influence of the ”natural restrictions” on estimation problems in the singular Gauss-Markov model. Zbl 0765.62068Baksalary, Jerzy K.; Rao, C. Radhakrishna; Markiewicz, Augustyn 30 1992 Nonnegative and positive definiteness of matrices modified by two matrices of rank one. Zbl 0728.15011Baksalary, Jerzy K.; Trenkler, Götz 30 1991 A further algebraic version of Cochran’s theorem and matrix partial orderings. Zbl 0696.15005Baksalary, Jerzy K.; Hauke, Jan 28 1990 Idempotency of linear combinations of an idempotent matrix and a tripotent matrix. Zbl 1016.15027Baksalary, Jerzy K.; Baksalary, Oskar Maria; Styan, George P. H. 26 2002 Partial orderings between matrices one of which is of rank one. Zbl 0535.15006Baksalary, Jerzy K.; Kala, Radosław 25 1983 A note on linear combinations of commuting tripotent matrices. Zbl 1057.15018Baksalary, Jerzy K.; Baksalary, Oskar Maria; Özdemir, Halim 25 2004 Admissible linear estimators in the general Gauss-Markov model. Zbl 0656.62076Baksalary, Jerzy K.; Markiewicz, Augustyn 23 1988 Nonsingularity of linear combinations of idempotent matrices. Zbl 1081.15017Baksalary, Jerzy K.; Baksalary, Oskar Maria 23 2004 Linear sufficiency with respect to a given vector of parametric functions. Zbl 0614.62079Baksalary, Jerzy K.; Kala, Radosław 21 1986 Generalized inverses of partitioned matrices in Banachiewicz-Schur form. Zbl 1022.15006Baksalary, Jerzy K.; Styan, George P. H. 20 2002 Rank invariance criterion and its application to the unified theory of least squares. Zbl 0694.15003Baksalary, Jerzy K.; Mathew, Thomas 19 1990 Linear sufficiency and completeness in an incorrectly specified general Gauss-Markov model. Zbl 0611.62073Baksalary, Jerzy K.; Mathew, Thomas 19 1986 Further properties of the star, left-star, right-star, and minus partial orderings. Zbl 1048.15016Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji 18 2003 Generalized matrix versions of the Cauchy-Schwarz and Kantorovich inequalities. Zbl 0723.15017Baksalary, J. K.; Puntanen, S. 17 1991 A property of the dispersion matrix of the best linear unbiased estimator in the general Gauss-Markov model. Zbl 0727.62072Baksalary, Jerzy K.; Puntanen, Simo; Styan, George P. H. 17 1990 Further results on generalized and hypergeneralized projectors. Zbl 1151.15022Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji; Trenkler, Götz 17 2008 On the Löwner, minus, and star partial orderings of nonnegative definite matrices and their squares. Zbl 0737.15008Baksalary, Jerzy K.; Pukelsheim, Friedrich 17 1991 Range invariance of certain matrix products. Zbl 0523.15006Baksalary, Jerzy K.; Kala, Radoslaw 16 1983 A study of the equivalence between a Gauss-Markoff model and its augmentation by nuisance parameters. Zbl 0556.62045Baksalary, Jerzy K. 16 1984 Mean square error matrix improvements and admissibility of linear estimators. Zbl 0685.62052Baksalary, Jerzy K.; Liski, Erkki P.; Trenkler, Götz 16 1989 Particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix. Zbl 1116.15003Baksalary, Jerzy K.; Baksalary, Oskar Maria 15 2007 A matrix inequality and admissibility of linear estimators with respect to the mean square error matrix criterion. Zbl 0653.62009Baksalary, Jerzy K.; Markiewicz, Augustyn 15 1989 Conditions for the robustness of block designs against the unavailability of data. Zbl 0646.62068Baksalary, Jerzy K.; Tabis, Zenon 14 1987 Some further results on Hermitian-matrix inequalities. Zbl 0753.15014Baksalary, Jerzy K.; Schipp, Bernhard; Trenkler, Götz 14 1992 The matrix inequality \(M \leq B^*MB\). Zbl 0516.15010Baksalary, J. K.; Kala, R.; Klaczynski, K. 14 1983 A property of orthogonal projectors. Zbl 1025.15039Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz 14 2002 Characterizations of the best linear unbiased estimator in the general Gauss-Markov model with the use of matrix partial orderings. Zbl 0695.62152Baksalary, Jerzy K.; Puntanen, Simo 13 1990 When is a linear combination of two idempotent matrices the group involutory matrix? Zbl 1112.15009Baksalary, Jerzy K.; Baksalary, Oskar Maria 13 2006 A relationship between the star and minus orderings. Zbl 0603.15002Baksalary, Jerzy K. 13 1986 Further properties of generalized and hypergeneralized projectors. Zbl 1068.15036Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji 12 2004 An invariance property related to the reverse order law. Zbl 1085.15004Baksalary, Jerzy K.; Baksalary, Oskar Maria 11 2005 Admissible linear estimators in restricted linear models. Zbl 0584.62002Baksalary, Jerzy K.; Markiewicz, Augustyn 11 1985 Inheriting independence and chi-squaredness under certain matrix orderings. Zbl 0584.62075Baksalary, Jerzy K.; Hauke, Jan 11 1984 A revisitation of formulae for the Moore-Penrose inverse of modified matrices. Zbl 1038.15001Baksalary, Jerzy K.; Baksalary, Oskar Maria; Trenkler, Götz 11 2003 On linear combinations of generalized projectors. Zbl 1081.15016Baksalary, Jerzy K.; Baksalary, Oskar Maria 10 2004 Relationships between partial orders of matrices and their powers. Zbl 1044.15011Baksalary, Jerzy K.; Hauke, Jan; Liu, Xiaoji; Liu, Sanyang 10 2004 A complete solution to the problem of robustness of Grubbs’s test. Zbl 0731.62082Baksalary, Jerzy K.; Puntanen, Simo 10 1990 Inverse-partitioned-matrix method for the general Gauss-Markov model with linear restrictions. Zbl 0695.62153Baksalary, Jerzy K.; Pordzik, Paweł R. 9 1989 Partial orderings of matrices referring to singular values or eigenvalues. Zbl 0627.15005Baksalary, Jerzy K.; Hauke, Jan 9 1987 Weighted-least-squares estimation in the general Gauss-Markov model. Zbl 0736.62045Baksalary, Jerzy K. 9 1989 Commutativity of projectors. Zbl 0997.15011Baksalary, Jerzy K.; Baksalary, Oskar Maria 9 2002 Admissible linear estimators of an arbitrary vector of parametric functions in the general Gauss-Markov model. Zbl 0716.62062Baksalary, Jerzy K.; Markiewicz, Augustyn 8 1990 A note on invariance of the eigenvalues, singular values, and norms of matrix products involving generalized inverses. Zbl 0743.15005Baksalary, Jerzy K.; Pukkila, Tarmo 8 1992 Best linear unbiased estimation in the restricted general linear model. Zbl 0416.62049Baksalary, J. K.; Kala, R. 8 1979 A new bound for the Euclidean norm of the difference between the least squares and the best linear unbiased estimators. Zbl 0464.62055Baksalary, J. K.; Kala, R. 8 1980 An elementary development of the equation characterizing best linear unbiased estimators. Zbl 1052.62062Baksalary, Jerzy K. 8 2004 Löwner-ordering antitonicity of generalized inverses of Hermitian matrices. Zbl 0697.15007Baksalary, Jerzy K.; Nordström, Kenneth; Styan, George P. H. 7 1990 Spectrum and trace invariance criterion and its statistical applications. Zbl 0714.15002Baksalary, Jerzy K.; Puntanen, Simo 7 1990 Around a formula for the rank of a matrix product with some statistical applications. Zbl 0850.62628Baksalary, Jerzy K.; Styan, George P. H. 7 1993 Characterizations of admissible linear estimators in restricted linear models. Zbl 0588.62014Baksalary, Jerzy K.; Markiewicz, Augustyn 7 1986 An extension of a rank criterion for the least squares estimator to be the best linear unbiased estimator. Zbl 0383.62041Baksalary, J. K.; Kala, R. 7 1977 An alternative characterization of generalized projectors. Zbl 1081.15018Baksalary, Jerzy K.; Liu, Xiaoji 7 2004 Criteria for the equality between ordinay least squares and best linear unbiased estimators under certain linear models. Zbl 0645.62072Baksalary, Jerzy K. 6 1988 Admissible linear estimation in a general Gauss-Markov model with an incorrectly specified dispersion matrix. Zbl 0665.62011Baksalary, Jerzy K.; Mathew, Thomas 6 1988 Canonical correlations associated with symmetric reflexive generalized inverses of the dispersion matrix. Zbl 0766.62032Baksalary, Jerzy K.; Puntanen, Simo; Yanai, Haruo 6 1992 Admissible linear estimation in the general Gauss-Markov model with respect to an arbitrary quadratic risk function. Zbl 0811.62064Baksalary, Jerzy K.; Markiewicz, Augustyn; Rao, C. Radhakrishna 6 1995 Reconciliation of two different views on estimation of growth curve parameters. Zbl 0398.62063Baksalary, J. K.; Corsten, L. C. A.; Kala, R. 6 1978 On the prediction problem in the seemingly unrelated regression equations model. Zbl 0417.62053Baksalary, J. K.; Kala, R. 6 1979 A note on comparing the unrestricted and restricted least-squares estimators. Zbl 0698.62067Baksalary, Jerzy K.; Pordzik, Paweł R. 5 1990 Generalizations of a property of orthogonal projectors. Zbl 1111.15016Baksalary, Jerzy K.; Baksalary, Oskar Maria; Kik, Paulina 5 2007 Symmetrizers of matrices. Zbl 0451.15007Baksalary, J. K.; Kala, R. 5 1981 Criteria for the validity of Fisher’s condition for balanced block designs. Zbl 0663.62079Baksalary, Jerzy K.; Puri, P. D. 5 1988 A note on the matrix ordering of special C-matrices. Zbl 0603.62071Baksalary, Jerzy K.; Pukelsheim, Friedrich 5 1985 Existence and constructions of connected block designs with given vectors of treatment replications and block sizes. Zbl 0586.62118Baksalary, Jerzy K.; Tabis, Zenon 5 1985 A bound for the Euclidean norm of the difference between the least squares and the best linear unbiased estimators. Zbl 0392.62051Baksalary, J. K.; Kala, R. 5 1978 Simple least squares estimation versus best linear unbiased prediction. Zbl 0476.62057Baksalary, J. K.; Kala, R. 5 1981 Criteria for estimability in multivariate linear models. Zbl 0329.62053Baksalary, J. K.; Kala, R. 5 1976 Further relationships between certain partial orders of matrices and their squares. Zbl 1048.15017Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji 5 2003 Implied linear restrictions in the general Gauss-Markov model. Zbl 0746.62062Baksalary, Jerzy K.; Pordzik, Paweł R. 4 1992 Pairwise-balanced, variance-balanced and resistant incomplete block designs revisited. Zbl 0703.62077Baksalary, Jerzy K.; Puri, P. D. 4 1990 Estimation via linearly combining two given statistics. Zbl 0515.62053Baksalary, J. K.; Kala, R. 4 1983 On equalities between BLUEs, WLSEs, and SLSEs. Zbl 0522.62047Baksalary, J. K.; Kala, R. 4 1983 A necessary condition for balance of a block design. Zbl 0457.62059Baksalary, J. K.; Dobek, A.; Kala, R. 4 1980 On connectedness of ordinary two-way elimination of heterogeneity designs. Zbl 0462.62063Baksalary, J. K.; Kala, R. 4 1980 On some linear combinations of hypergeneralized projectors. Zbl 1088.15026Baksalary, Jerzy K.; Baksalary, Oskar Maria; Groß, Jürgen 4 2006 Properties of Schur complements in partitioned idempotent matrices. Zbl 1043.15019Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz 4 2004 A rank characterization of linear models with nuisance parameters and its application to block designs. Zbl 0669.62065Baksalary, Jerzy K. 3 1989 A note on rank additivity and range additivity. Zbl 0856.47001Baksalary, Jerzy K.; Šemrl, Peter; Styan, George P. H. 3 1996 Nonnegative unbiased estimability of linear combinations of two variance components. Zbl 0563.62045Baksalary, Jerzy K.; Molińska, Anna 3 1984 Strong unified-least-squares matrices for a general linear model. Zbl 0584.62076Baksalary, Jerzy K. 3 1985 Relationships between some representations of the best linear unbiased estimator in the general Gauss-Markoff model. Zbl 0398.62062Baksalary, J. K.; Kala, R. 3 1978 Two relations between oblique and \(\Lambda\)-orthogonal projectors. Zbl 0401.15004Baksalary, J. K.; Kala, R. 3 1979 Two properties of a nonnegative definite matrix. Zbl 0463.15017Baksalary, Jerzy; Kala, Radoslaw 3 1980 Effect of correlations and unequal variances in testing for outliers in linear regression. Zbl 0747.62062Baksalary, Jerzy K.; Nurhonen, Markku; Puntanen, Simo 2 1992 Characterizations of two-way layouts from the point of view of variance component estimation in the corresponding mixed linear models. Zbl 0705.62064Baksalary, Jerzy K.; Dobek, Anita; Gnot, Stanisław 2 1990 Connectedness of PBIB designs. Zbl 0658.62089Baksalary, Jerzy K.; Tabis, Zenon 2 1987 Adjusted orthogonality properties in multiway block designs. Zbl 0786.62077Baksalary, Jerzy K.; Kotarbińkis, Tadeusz; Pukelsheim, Friedrich 2 1992 Preliminary test estimation of a vector of parametric functions in the general Gauss–Markov model. Zbl 0779.62047Baksalary, Jerzy K.; Pordzik, Paweł R. 2 1993 Decomposability of the C-matrix of a two-way elimination of heterogeneity design. Zbl 0804.62071Baksalary, Jerzy K.; Siatkowski, Idzi 2 1993 Further results on invariance of the eigenvalues of matrix product involving generalized inverses. Zbl 0851.15006Baksalary, Jerzy K.; Markiewicz, Augustyn 2 1996 Covariance adjustment in biased estimation. Zbl 0870.62042Baksalary, Jerzy K.; Trenkler, Götz 2 1991 Extensions of Milliken’s estimability criterion. Zbl 0336.62058Baksalary, J. K.; Kala, R. 2 1976 Nonnegative definite solutions to some matrix equations occurring in distribution theory of quadratic forms. Zbl 0501.62036Baksalary, J. K.; Hauke, J.; Kala, R. 2 1980 Further results on generalized and hypergeneralized projectors. Zbl 1151.15022Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji; Trenkler, Götz 17 2008 Particular formulae for the Moore–Penrose inverse of a columnwise partitioned matrix. Zbl 1116.15003Baksalary, Jerzy K.; Baksalary, Oskar Maria 15 2007 Generalizations of a property of orthogonal projectors. Zbl 1111.15016Baksalary, Jerzy K.; Baksalary, Oskar Maria; Kik, Paulina 5 2007 When is a linear combination of two idempotent matrices the group involutory matrix? Zbl 1112.15009Baksalary, Jerzy K.; Baksalary, Oskar Maria 13 2006 On some linear combinations of hypergeneralized projectors. Zbl 1088.15026Baksalary, Jerzy K.; Baksalary, Oskar Maria; Groß, Jürgen 4 2006 An invariance property related to the reverse order law. Zbl 1085.15004Baksalary, Jerzy K.; Baksalary, Oskar Maria 11 2005 A note on linear combinations of commuting tripotent matrices. Zbl 1057.15018Baksalary, Jerzy K.; Baksalary, Oskar Maria; Özdemir, Halim 25 2004 Nonsingularity of linear combinations of idempotent matrices. Zbl 1081.15017Baksalary, Jerzy K.; Baksalary, Oskar Maria 23 2004 Further properties of generalized and hypergeneralized projectors. Zbl 1068.15036Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji 12 2004 On linear combinations of generalized projectors. Zbl 1081.15016Baksalary, Jerzy K.; Baksalary, Oskar Maria 10 2004 Relationships between partial orders of matrices and their powers. Zbl 1044.15011Baksalary, Jerzy K.; Hauke, Jan; Liu, Xiaoji; Liu, Sanyang 10 2004 An elementary development of the equation characterizing best linear unbiased estimators. Zbl 1052.62062Baksalary, Jerzy K. 8 2004 An alternative characterization of generalized projectors. Zbl 1081.15018Baksalary, Jerzy K.; Liu, Xiaoji 7 2004 Properties of Schur complements in partitioned idempotent matrices. Zbl 1043.15019Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz 4 2004 A new approach to the concept of a strong unified-least-squares matrix. Zbl 1060.15009Baksalary, Jerzy K. 2 2004 Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications. Zbl 1060.15010Baksalary, Jerzy K.; Baksalary, Oskar Maria 2 2004 Further properties of the star, left-star, right-star, and minus partial orderings. Zbl 1048.15016Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji 18 2003 A revisitation of formulae for the Moore-Penrose inverse of modified matrices. Zbl 1038.15001Baksalary, Jerzy K.; Baksalary, Oskar Maria; Trenkler, Götz 11 2003 Further relationships between certain partial orders of matrices and their squares. Zbl 1048.15017Baksalary, Jerzy K.; Baksalary, Oskar Maria; Liu, Xiaoji 5 2003 Idempotency of linear combinations of an idempotent matrix and a tripotent matrix. Zbl 1016.15027Baksalary, Jerzy K.; Baksalary, Oskar Maria; Styan, George P. H. 26 2002 Generalized inverses of partitioned matrices in Banachiewicz-Schur form. Zbl 1022.15006Baksalary, Jerzy K.; Styan, George P. H. 20 2002 A property of orthogonal projectors. Zbl 1025.15039Baksalary, Jerzy K.; Baksalary, Oskar Maria; Szulc, Tomasz 14 2002 Commutativity of projectors. Zbl 0997.15011Baksalary, Jerzy K.; Baksalary, Oskar Maria 9 2002 Idempotency of linear combinations of two idempotent matrices. Zbl 0984.15021Baksalary, Jerzy K.; Baksalary, Oskar Maria 48 2000 A note on rank additivity and range additivity. Zbl 0856.47001Baksalary, Jerzy K.; Šemrl, Peter; Styan, George P. H. 3 1996 Further results on invariance of the eigenvalues of matrix product involving generalized inverses. Zbl 0851.15006Baksalary, Jerzy K.; Markiewicz, Augustyn 2 1996 Admissible linear estimation in the general Gauss-Markov model with respect to an arbitrary quadratic risk function. Zbl 0811.62064Baksalary, Jerzy K.; Markiewicz, Augustyn; Rao, C. Radhakrishna 6 1995 Best estimation of variance components with arbitrary kurtosis in two-way layouts mixed models. Zbl 0812.62076Baksalary, J. K.; Gnot, S.; Kageyama, S. 1 1995 Around a formula for the rank of a matrix product with some statistical applications. Zbl 0850.62628Baksalary, Jerzy K.; Styan, George P. H. 7 1993 Preliminary test estimation of a vector of parametric functions in the general Gauss–Markov model. Zbl 0779.62047Baksalary, Jerzy K.; Pordzik, Paweł R. 2 1993 Decomposability of the C-matrix of a two-way elimination of heterogeneity design. Zbl 0804.62071Baksalary, Jerzy K.; Siatkowski, Idzi 2 1993 A study of the influence of the ”natural restrictions” on estimation problems in the singular Gauss-Markov model. Zbl 0765.62068Baksalary, Jerzy K.; Rao, C. Radhakrishna; Markiewicz, Augustyn 30 1992 Some further results on Hermitian-matrix inequalities. Zbl 0753.15014Baksalary, Jerzy K.; Schipp, Bernhard; Trenkler, Götz 14 1992 A note on invariance of the eigenvalues, singular values, and norms of matrix products involving generalized inverses. Zbl 0743.15005Baksalary, Jerzy K.; Pukkila, Tarmo 8 1992 Canonical correlations associated with symmetric reflexive generalized inverses of the dispersion matrix. Zbl 0766.62032Baksalary, Jerzy K.; Puntanen, Simo; Yanai, Haruo 6 1992 Implied linear restrictions in the general Gauss-Markov model. Zbl 0746.62062Baksalary, Jerzy K.; Pordzik, Paweł R. 4 1992 Effect of correlations and unequal variances in testing for outliers in linear regression. Zbl 0747.62062Baksalary, Jerzy K.; Nurhonen, Markku; Puntanen, Simo 2 1992 Adjusted orthogonality properties in multiway block designs. Zbl 0786.62077Baksalary, Jerzy K.; Kotarbińkis, Tadeusz; Pukelsheim, Friedrich 2 1992 Minimum number of experimental units in connected block designs with certain additional properties. Zbl 0748.62038Baksalary, Jerzy K.; Hauke, Jan 1 1992 Left-star and right-star partial orderings. Zbl 0717.15004Baksalary, Jerzy K.; Mitra, Sujit Kumar 52 1991 Nonnegative and positive definiteness of matrices modified by two matrices of rank one. Zbl 0728.15011Baksalary, Jerzy K.; Trenkler, Götz 30 1991 Generalized matrix versions of the Cauchy-Schwarz and Kantorovich inequalities. Zbl 0723.15017Baksalary, J. K.; Puntanen, S. 17 1991 On the Löwner, minus, and star partial orderings of nonnegative definite matrices and their squares. Zbl 0737.15008Baksalary, Jerzy K.; Pukelsheim, Friedrich 17 1991 Covariance adjustment in biased estimation. Zbl 0870.62042Baksalary, Jerzy K.; Trenkler, Götz 2 1991 A further algebraic version of Cochran’s theorem and matrix partial orderings. Zbl 0696.15005Baksalary, Jerzy K.; Hauke, Jan 28 1990 Rank invariance criterion and its application to the unified theory of least squares. Zbl 0694.15003Baksalary, Jerzy K.; Mathew, Thomas 19 1990 A property of the dispersion matrix of the best linear unbiased estimator in the general Gauss-Markov model. Zbl 0727.62072Baksalary, Jerzy K.; Puntanen, Simo; Styan, George P. H. 17 1990 Characterizations of the best linear unbiased estimator in the general Gauss-Markov model with the use of matrix partial orderings. Zbl 0695.62152Baksalary, Jerzy K.; Puntanen, Simo 13 1990 A complete solution to the problem of robustness of Grubbs’s test. Zbl 0731.62082Baksalary, Jerzy K.; Puntanen, Simo 10 1990 Admissible linear estimators of an arbitrary vector of parametric functions in the general Gauss-Markov model. Zbl 0716.62062Baksalary, Jerzy K.; Markiewicz, Augustyn 8 1990 Löwner-ordering antitonicity of generalized inverses of Hermitian matrices. Zbl 0697.15007Baksalary, Jerzy K.; Nordström, Kenneth; Styan, George P. H. 7 1990 Spectrum and trace invariance criterion and its statistical applications. Zbl 0714.15002Baksalary, Jerzy K.; Puntanen, Simo 7 1990 A note on comparing the unrestricted and restricted least-squares estimators. Zbl 0698.62067Baksalary, Jerzy K.; Pordzik, Paweł R. 5 1990 Pairwise-balanced, variance-balanced and resistant incomplete block designs revisited. Zbl 0703.62077Baksalary, Jerzy K.; Puri, P. D. 4 1990 Characterizations of two-way layouts from the point of view of variance component estimation in the corresponding mixed linear models. Zbl 0705.62064Baksalary, Jerzy K.; Dobek, Anita; Gnot, Stanisław 2 1990 Some properties of matrix partial orderings. Zbl 0681.15005Baksalary, Jerzy K.; Pukelsheim, Friedrich; Styan, George P. H. 45 1989 Mean square error matrix improvements and admissibility of linear estimators. Zbl 0685.62052Baksalary, Jerzy K.; Liski, Erkki P.; Trenkler, Götz 16 1989 A matrix inequality and admissibility of linear estimators with respect to the mean square error matrix criterion. Zbl 0653.62009Baksalary, Jerzy K.; Markiewicz, Augustyn 15 1989 Inverse-partitioned-matrix method for the general Gauss-Markov model with linear restrictions. Zbl 0695.62153Baksalary, Jerzy K.; Pordzik, Paweł R. 9 1989 Weighted-least-squares estimation in the general Gauss-Markov model. Zbl 0736.62045Baksalary, Jerzy K. 9 1989 A rank characterization of linear models with nuisance parameters and its application to block designs. Zbl 0669.62065Baksalary, Jerzy K. 3 1989 Admissible linear estimators in the general Gauss-Markov model. Zbl 0656.62076Baksalary, Jerzy K.; Markiewicz, Augustyn 23 1988 Criteria for the equality between ordinay least squares and best linear unbiased estimators under certain linear models. Zbl 0645.62072Baksalary, Jerzy K. 6 1988 Admissible linear estimation in a general Gauss-Markov model with an incorrectly specified dispersion matrix. Zbl 0665.62011Baksalary, Jerzy K.; Mathew, Thomas 6 1988 Criteria for the validity of Fisher’s condition for balanced block designs. Zbl 0663.62079Baksalary, Jerzy K.; Puri, P. D. 5 1988 Conditions for the robustness of block designs against the unavailability of data. Zbl 0646.62068Baksalary, Jerzy K.; Tabis, Zenon 14 1987 Partial orderings of matrices referring to singular values or eigenvalues. Zbl 0627.15005Baksalary, Jerzy K.; Hauke, Jan 9 1987 Connectedness of PBIB designs. Zbl 0658.62089Baksalary, Jerzy K.; Tabis, Zenon 2 1987 Linear sufficiency with respect to a given vector of parametric functions. Zbl 0614.62079Baksalary, Jerzy K.; Kala, Radosław 21 1986 Linear sufficiency and completeness in an incorrectly specified general Gauss-Markov model. Zbl 0611.62073Baksalary, Jerzy K.; Mathew, Thomas 19 1986 A relationship between the star and minus orderings. Zbl 0603.15002Baksalary, Jerzy K. 13 1986 Characterizations of admissible linear estimators in restricted linear models. Zbl 0588.62014Baksalary, Jerzy K.; Markiewicz, Augustyn 7 1986 Admissible linear estimators in restricted linear models. Zbl 0584.62002Baksalary, Jerzy K.; Markiewicz, Augustyn 11 1985 A note on the matrix ordering of special C-matrices. Zbl 0603.62071Baksalary, Jerzy K.; Pukelsheim, Friedrich 5 1985 Existence and constructions of connected block designs with given vectors of treatment replications and block sizes. Zbl 0586.62118Baksalary, Jerzy K.; Tabis, Zenon 5 1985 Strong unified-least-squares matrices for a general linear model. Zbl 0584.62076Baksalary, Jerzy K. 3 1985 A note on using linear restrictions in a Gauss-Markov model. Zbl 0613.62061Baksalary, Jerzy K.; Pordzik, Paweł R. 1 1985 Nonnegative definite and positive definite solutions to the matrix equation \(AXA^*=B\). Zbl 0552.15009Baksalary, Jerzy K. 45 1984 A study of the equivalence between a Gauss-Markoff model and its augmentation by nuisance parameters. Zbl 0556.62045Baksalary, Jerzy K. 16 1984 Inheriting independence and chi-squaredness under certain matrix orderings. Zbl 0584.62075Baksalary, Jerzy K.; Hauke, Jan 11 1984 Nonnegative unbiased estimability of linear combinations of two variance components. Zbl 0563.62045Baksalary, Jerzy K.; Molińska, Anna 3 1984 Partial orderings between matrices one of which is of rank one. Zbl 0535.15006Baksalary, Jerzy K.; Kala, Radosław 25 1983 Range invariance of certain matrix products. Zbl 0523.15006Baksalary, Jerzy K.; Kala, Radoslaw 16 1983 The matrix inequality \(M \leq B^*MB\). Zbl 0516.15010Baksalary, J. K.; Kala, R.; Klaczynski, K. 14 1983 Estimation via linearly combining two given statistics. Zbl 0515.62053Baksalary, J. K.; Kala, R. 4 1983 On equalities between BLUEs, WLSEs, and SLSEs. Zbl 0522.62047Baksalary, J. K.; Kala, R. 4 1983 Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model. Zbl 0471.62067Baksalary, J. K.; Kala, R. 47 1981 Symmetrizers of matrices. Zbl 0451.15007Baksalary, J. K.; Kala, R. 5 1981 Simple least squares estimation versus best linear unbiased prediction. Zbl 0476.62057Baksalary, J. K.; Kala, R. 5 1981 The matrix equation AXB+CYD=E. Zbl 0437.15005Baksalary, J. K.; Kala, R. 57 1980 A new bound for the Euclidean norm of the difference between the least squares and the best linear unbiased estimators. Zbl 0464.62055Baksalary, J. K.; Kala, R. 8 1980 A necessary condition for balance of a block design. Zbl 0457.62059Baksalary, J. K.; Dobek, A.; Kala, R. 4 1980 On connectedness of ordinary two-way elimination of heterogeneity designs. Zbl 0462.62063Baksalary, J. K.; Kala, R. 4 1980 Two properties of a nonnegative definite matrix. Zbl 0463.15017Baksalary, Jerzy; Kala, Radoslaw 3 1980 Nonnegative definite solutions to some matrix equations occurring in distribution theory of quadratic forms. Zbl 0501.62036Baksalary, J. K.; Hauke, J.; Kala, R. 2 1980 Some methods for constructing efficiency-balanced block designs. Zbl 0461.62066Baksalary, J. K.; Dobek, A.; Kala, R. 2 1980 On the difference between two second degree polynomials, each following a chi-square distribution. Zbl 0487.62043Baksalary, J. K.; Kala, R. 1 1980 The matrix equation \(AX-YB=C\). Zbl 0403.15010Baksalary, J. K.; Kala, R. 50 1979 Best linear unbiased estimation in the restricted general linear model. Zbl 0416.62049Baksalary, J. K.; Kala, R. 8 1979 On the prediction problem in the seemingly unrelated regression equations model. Zbl 0417.62053Baksalary, J. K.; Kala, R. 6 1979 ...and 9 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 608 Authors 57 Baksalary, Jerzy K. 52 Tian, Yongge 44 Trenkler, Götz 38 Baksalary, Oskar Maria 33 Puntanen, Simo 28 Gross, Jürgen 27 Markiewicz, Augustyn 24 Wang, Qingwen 20 Liu, Xiaoji 17 Cvetković-Ilić, Dragana S. 16 Styan, George P. H. 15 Deng, Chunyuan 14 Benítez Lopez, Julio 13 He, ZhuoHeng 12 Ma, Changfeng 12 Mosić, Dijana 12 Özdemir, Halim 12 Pordzik, Paweł R. 12 Thome, Néstor 11 Liski, Erkki P. 10 Marovt, Janko 10 Yang, Hu 9 Hauke, Jan 9 Jiang, Bo 9 Liu, Yonghui 9 Young, Dean Max 8 Guterman, Alexander Èmilevich 8 Kala, Radosław 8 Song, Guangjing 7 Güler, Nesrin 7 Takane, Yoshio 6 Đorđević, Dragan S. 6 Du, Hongke 6 Isotalo, Jarkko 6 Özkale, M. Revan 6 Stępniak, Czesław 6 Wang, Songgui 6 Xu, Qingxiang 5 Godolphin, Janet D. 5 Hartwig, Robert E. 5 Haslett, Stephen J. 5 Jensen, Donald R. 5 Liu, Xuqing 5 Rong, Jianying 5 Sarduvan, Murat 5 Wu, Jibo 5 Zhang, Xian 5 Ziętak, Krystyna 5 Zuo, Kezheng 4 Chen, Guoliang 4 Cīrulis, Jānis 4 Dolinar, Gregor 4 Efimov, Mikhail A. 4 Gnot, Stanisław 4 Huang, Na 4 Kageyama, Sanpei 4 Kuran, Özge 4 Kuzma, Bojan 4 Li, Yalian 4 Liu, Shuangzhe 4 Maestripieri, Alejandra L. 4 Mathew, Thomas 4 Meaux, Laurie M. 4 Mitra, Sujit Kumar 4 Patrício, Pedro 4 Ramirez, Donald E. 4 Rehman, Abdur 4 Seaman, John W. jun. 4 Sivakumar, Koratti Chengalrayan 4 Uç, Mahmut 4 Ungor, Burcu 4 Wang, Hongxing 4 Wei, Yimin 4 Yanai, Haruo 4 Yu, Yaoming 4 Zhang, Shangli 3 Arashi, Mohammad 3 Arias, M. Laura 3 Asar, Yasin 3 Caliński, Tadeusz 3 Chen, Jianlong 3 Corach, Gustavo 3 del Pilar Ibarrola Munoz, Maria 3 Drygas, Hilmar 3 Eriş Büyükkaya, Melek 3 Halıcıoğlu, Sait 3 Harmanci, Abdullah 3 Hu, Xiyan 3 Ji, Guoxing 3 Kişi, Emre 3 Kyrchei, Ivan I. 3 Lattanzi, Marina Beatriz 3 Li, Yuan 3 Liu, Jinshan 3 Lu, Changyu 3 Malik, Saroj B. 3 Neudecker, Heinz 3 Nordström, Kenneth 3 Özban, Ahmet Yasar 3 Pérez-Palomares, Ana ...and 508 more Authors all top 5 Cited in 130 Serials 161 Linear Algebra and its Applications 70 Linear and Multilinear Algebra 52 Journal of Statistical Planning and Inference 42 Applied Mathematics and Computation 36 Communications in Statistics. Theory and Methods 27 Statistical Papers 21 Statistics & Probability Letters 19 Journal of Multivariate Analysis 13 Computers & Mathematics with Applications 10 Journal of Mathematical Analysis and Applications 10 Metrika 10 Communications in Statistics. Simulation and Computation 9 Statistics 7 Journal of Mathematical Sciences (New York) 7 Journal of Applied Mathematics 7 Journal of Applied Mathematics and Computing 6 Indian Journal of Pure & Applied Mathematics 6 Annals of the Institute of Statistical Mathematics 6 Journal of Computational and Applied Mathematics 6 Aequationes Mathematicae 5 Acta Mathematicae Applicatae Sinica. English Series 5 Filomat 5 Open Mathematics 4 Communications in Algebra 4 Automatica 4 Numerical Algorithms 4 International Journal of Computer Mathematics 4 Computational Statistics and Data Analysis 4 Advances in Applied Clifford Algebras 4 Abstract and Applied Analysis 4 Journal of Applied Statistics 4 Acta Mathematica Sinica. English Series 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 The Canadian Journal of Statistics 3 Proceedings of the American Mathematical Society 3 Applied Mathematics Letters 3 Applications of Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Algebra Colloquium 3 Computational and Applied Mathematics 3 ELA. The Electronic Journal of Linear Algebra 3 Journal of Inequalities and Applications 3 Australian & New Zealand Journal of Statistics 3 Statistical Methods and Applications 3 Journal of the Korean Statistical Society 3 Operators and Matrices 3 Journal of Statistical Theory and Practice 3 Special Matrices 2 Discrete Mathematics 2 Journal of the Franklin Institute 2 Demonstratio Mathematica 2 Journal of Optimization Theory and Applications 2 Mathematica Slovaca 2 Journal of Statistical Computation and Simulation 2 Statistische Hefte 2 Cybernetics and Systems Analysis 2 Numerical Linear Algebra with Applications 2 Mathematical Problems in Engineering 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 Journal of Algebra and its Applications 2 Mediterranean Journal of Mathematics 2 Annals of Functional Analysis 2 Journal of Linear and Topological Algebra 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Computing 1 Fuzzy Sets and Systems 1 Journal of Approximation Theory 1 Journal of Soviet Mathematics 1 Kybernetika 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Statistical Science 1 Facta Universitatis. Series Mathematics and Informatics 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Economics Letters 1 Computational Statistics 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Glasnik Matematički. Serija III 1 Journal of Nonlinear Science 1 Test 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Doklady Mathematics 1 Mathematical Communications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Revista Matemática Complutense ...and 30 more Serials all top 5 Cited in 33 Fields 421 Linear and multilinear algebra; matrix theory (15-XX) 306 Statistics (62-XX) 82 Operator theory (47-XX) 54 Numerical analysis (65-XX) 44 Order, lattices, ordered algebraic structures (06-XX) 33 Associative rings and algebras (16-XX) 28 Functional analysis (46-XX) 9 Combinatorics (05-XX) 9 Probability theory and stochastic processes (60-XX) 5 Operations research, mathematical programming (90-XX) 5 Systems theory; control (93-XX) 4 Real functions (26-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Approximations and expansions (41-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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