Jerzy Baksalary
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Most Influential Person Now
Polish mathematician
Jerzy Baksalary's AcademicInfluence.com Rankings
Jerzy Baksalarymathematics Degrees
Mathematics
#5475
World Rank
#7699
Historical Rank
Linear Algebra
#14
World Rank
#17
Historical Rank
Applied Mathematics
#451
World Rank
#482
Historical Rank
Measure Theory
#3516
World Rank
#4149
Historical Rank
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Mathematics
Jerzy Baksalary's Degrees
- PhD Mathematics Wrocław University of Science and Technology
Why Is Jerzy Baksalary Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jerzy Kazimierz Baksalary was a Polish mathematician who specialized in mathematical statistics and linear algebra. In 1990 he was appointed professor of mathematical sciences. He authored over 170 academic papers published and won one of the Ministry of National Education awards.
Jerzy Baksalary's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The matrix equation AXB+CYD=E (1980) (112)
- Linear Transformations Preserving Best Linear Unbiased Estimators in a General Gauss-Markoff Model (1981) (93)
- Nonnegative definite and positive definite solutions to the matrix equation AXA * = B (1984) (91)
- Some properties of matrix partial orderings (1989) (86)
- Left-star and right-star partial orderings (1991) (76)
- The Matrix Equation AX - YB = C (1979) (76)
- Idempotency of linear combinations of two idempotent matrices (2000) (64)
- A study of the influence of the ‘natural restrictions’ on estimation problems in the singular Gauss-Markov model (1992) (56)
- Nonnegative and positive definiteness of matrices modified by two matrices of rank one (1991) (48)
- Idempotency of linear combinations of an idempotent matrix and a tripotent matrix (2002) (42)
- Admissible linear estimators in the general Gauss-Markov model (1988) (41)
- Weight and body measurements of forest and field roe deer (1982) (41)
- Generalized inverses of partitioned matrices in Banachiewicz–Schur form (2002) (41)
- A Further Algebraic Version of Cochran's Theorem and Matrix Partial Orderings* (1990) (39)
- On the Löwner, minus, and star partial orderings of nonnegative definite matrices and their squares (1991) (39)
- Generalized matrix versions of the Cauchy-Schwarz and Kantorovich inequalities (1990) (38)
- Linear sufficiency with respect to a given vector of parametric functions (1986) (38)
- A note on linear combinations of commuting tripotent matrices (2004) (37)
- Nonsingularity of linear combinationsof idempotent matrices (2004) (37)
- Particular formulae for the Moore-Penrose inverse of a columnwise partitioned matrix (2007) (33)
- MEAN SQUARE ERROR MATRIX IMPROVEMENTS AND ADMISSIBILITY OF LINEAR ESTIMATORS (1989) (32)
- Characterizations of the best linear unbiased estimator in the general Gauss-Markov model with the use of matrix partial orderings (1990) (30)
- Conditions for the robustness of block designs against the unavailability of data (1987) (29)
- Further results on generalized and hypergeneralized projectors (2008) (28)
- Rank invariance criterion and its application to the unified theory of least squares (1990) (28)
- WEIGHTED-LEAST-SQUARES ESTIMATION IN THE GENERAL GAUSS-MARKOV MODEL (1989) (26)
- Further properties of the star, left-star, right-star, and minus partial orderings (2003) (25)
- A revisitation of formulae for the Moore–Penrose inverse of modified matrices (2003) (25)
- A property of orthogonal projectors (2002) (24)
- Some further results on Hermitian-matrix inequalities (1992) (23)
- Relationships between partial orders of matrices and their powers (2004) (22)
- Range invariance of certain matrix products (1983) (22)
- A Bound for the Euclidean Norm of the Difference Between the Least Squares and the Best Linear Unbiased Estimators (1978) (21)
- Further properties of generalized and hypergeneralized projectors (2004) (21)
- On some distributional properties of quadratic forms in normal variables and on some associated matrix partial orderings (1994) (21)
- An invariance property related to the reverse order law (2005) (21)
- Commutativity of projectors (2002) (19)
- Inverse-partitioned-matrix method for the general Gauss-Markov model with linear restrictions☆ (1989) (18)
- A relationship between the star and minus orderings (1986) (18)
- A matrix inequality and admissibility of linear estimators with respect to the mean square error matrix criterion (1989) (18)
- Admissible Linear Estimators in Restricted Linear Models (1985) (18)
- An elementary development of the equation characterizing best linear unbiased estimators (2004) (17)
- A Comparison of Two Criteria for Ordinary-Least-Squares Estimators to Be Best Linear Unbiased Estimators (1988) (17)
- Reconciliation of two different views on estimation of growth curve parameters (1978) (16)
- Partial orderings of matrices referring to singular values or eigenvalues (1987) (16)
- On equalities between BLUES, WLSEs, and SLSEs† (1983) (16)
- The matrix inequality M ⩾ B∗MB (1983) (16)
- Inheriting independence and chi-squaredness under certain matrix orderings (1984) (15)
- When is a linear combination of two idempotent matrices the group involutory matrix? (2006) (15)
- Criteria for the equality between ordinary least squares and best linear unbiased estimators under certain linear models (1988) (15)
- A complete solution to the problem of robustness of Grubbs's test (1990) (14)
- An alternative characterization of generalized projectors (2004) (13)
- On linear combinations of generalized projectors (2004) (12)
- An inequality for the trace of matrix product (1992) (12)
- Löwner-ordering antitonicity of generalized inverse of Hermitian matrices (1990) (12)
- A note on invariance of the eigenvalues, singular values, and norms of matrix products involving generalized inverses (1992) (12)
- An extension of a rank criterion for the least squares estimator to be the best linear unbiased estimator (1977) (12)
- Canonical correlations associated with symmetric reflexive generalized inverses of the dispersion matrix (1992) (11)
- Further relationships between certain partial orders of matrices and their squares (2003) (11)
- Simple least squares estimation versus best linear unbiased prediction (1981) (11)
- Admissible linear estimation in the general Gauss-Markov model with respect to an arbitrary quadratic risk function (1995) (10)
- Implied linear restrictions in the general Gauss-Markov model (1992) (10)
- Properties of Schur complements in partitioned idempotent matrices (2004) (10)
- On the prediction problem in the seemingly unrelated regression equations model (1979) (9)
- Best linear unbiased estimation in the restricted general linear model 2 (1979) (9)
- Symmetrizers of matrices (1981) (9)
- Two relations between oblique and Λ-orthogonal projectors (1979) (9)
- Pairwise-balanced, variance-balanced and resistant incomplete block designs revisited (1990) (9)
- Relationships Between Some Representations of the Best Linear Unbiased Estimator in the General Gauss–Markoff Model (1978) (9)
- The Efficiency of OLS in a Seemingly Unrelated Regressions Model (1989) (9)
- Admissible linear estimators of an arbitrary vector of parametric functions in the general Gauss-Markov model (1990) (9)
- Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications (2004) (8)
- Characterizations of admissible linear estimators in restricted linear models (1986) (8)
- Effect of correlations and unequal variances in testing for outliers in linear regression (1992) (8)
- A note on the matrix ordering of special c-matrices☆ (1985) (8)
- Admissible linear estimation in a general Gauss-Markov model with an incorrectly specified dispersion matrix (1988) (8)
- Spectrum and trace invariance criterion and its statistical applications (1990) (8)
- Existence and constructions of connected block designs with given vectors of treatment replications and block sizes (1985) (8)
- On some linear combinations of hypergeneralized projectors (2006) (7)
- A note on rank additivity and range additivity (1996) (7)
- A note on generalized ridge estimators (1990) (7)
- EXTENSIONS OF MILLIKEN'S ESTIMABILITY CRITERION (1976) (7)
- Criteria for the validity of Fisher's condition for balanced block designs (1988) (7)
- Estimation Via Linearly Combining Two Given Statistics (1983) (7)
- Covariance adjustment in biased estimation (1991) (7)
- A note on comparing the unrestricted and restricted least-squares estimators (1990) (7)
- A necessary condition for balance of a block design (1980) (7)
- Nonnegative unbiased estimability of linear combinations of two variance components (1984) (6)
- Generalizations of a property of orthogonal projectors (2007) (6)
- Characterizations of minus and star orders between the squares of Hermitian matrices (2004) (5)
- A new approach to the concept of a strong unified-least-squares matrix (2004) (5)
- Characterizations of two-way layouts from the point of view of variance component estimation in the corresponding mixed linear models (1990) (5)
- Comparing Stochastically Restricted Estimators in a Linear Regression Model (1984) (5)
- Connectedness of PBIB designs (1987) (5)
- Some methods for constructing efficiency-balanced block designs (1980) (5)
- A rank characterization of linear models with nuisance parameters and its application to block designs (1989) (4)
- Best estimation of variance components with arbitrary kurtosis in two-way layouts mixed models (1995) (4)
- Decomposability of the C-matrix of a two-way elimination of heterogeneity design (1993) (4)
- Strong unified-least-squares matrices for a general linear model☆ (1985) (4)
- On connectedness of ordinary two‐way elimination of heterogeneity designs (1980) (4)
- Covariance Adjustment When a Vector of Parameters is Restricted to a Given Subspace (1979) (3)
- Minimum number of experimental units in connected block designs with certain additional properties (1992) (3)
- Sums of squares and products matrices for a non-full ranks hypothesis in the model of potthoff and roy (1977) (3)
- Further results on invariance of the eigenvalues of matrix products involving generalized inverses (1996) (3)
- Preliminary test estimation of a vector of parametric functions in the general Gauss-Markov model (1993) (3)
- A note on Ahlers and Lewis' representation of the best linear unbiased estimator in the general Gauss-Markoff model (1980) (3)
- Generalized matrix versions of the Cauchy—Schwarz and Kantorovich inequalities (1990) (2)
- An invariance property of Farebrother's procedure for estimation with aggregated data☆ (1983) (2)
- A method for computing projectors (1976) (1)
- Algorithms 80-81. Calculation of projections (1980) (1)
- C292. A comment on an admissibility criterion (1987) (1)
- A note on using linear restrictions in a Gauss-Markov model (1985) (1)
- A specific form of the generalized inverse of a partitioned matrix useful in econometrics (2002) (1)
- Nonsingularity of linear combinations of idempotent matrices (2004) (1)
- Recent publications (2006) (0)
- Milliken's Estimability Criterion (2004) (0)
- The pair of matrix equations $AX = B$ and $A^{*}Y + CX = D$ (1982) (0)
- Estimability of linear parametric functions in a one-dimensional linear model (1978) (0)
- F3. A comment regarding “on regressing regression coefficients” (1987) (0)
- Estimability Criterion, Milliken's (2006) (0)
- On the distribution of a nonnegative difference between two $χ^2$-distributed second degree polynomial statistics (1983) (0)
- List of Contributors (2008) (0)
- Estimability of linear parametric functions in a one-dimensional linear model with restrictions (1978) (0)
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