Professor Heinz Neudecker and matrix differential calculus.
- Published in:
- Statistical Papers, 2024, v. 65, n. 4, p. 2605, doi. 10.1007/s00362-023-01499-w
- By:
- Publication type:
- Article
Works by Trenkler, Götz
Results: 58
1
2
An alternative look at the linear regression model.
- Published in:
- Statistical Papers, 2022, v. 63, n. 5, p. 1499, doi. 10.1007/s00362-021-01280-x
- By:
- Publication type:
- Article
3
On the Moore–Penrose inverse of a sum of matrices.
- Published in:
- Linear & Multilinear Algebra, 2023, v. 71, n. 2, p. 133, doi. 10.1080/03081087.2021.2021132
- By:
- Publication type:
- Article
4
On matrices whose Moore–Penrose inverse is idempotent.
- Published in:
- Linear & Multilinear Algebra, 2022, v. 70, n. 11, p. 2014, doi. 10.1080/03081087.2020.1781038
- By:
- Publication type:
- Article
5
On most perfect magic squares of order four.
- Published in:
- Linear & Multilinear Algebra, 2020, v. 68, n. 7, p. 1411, doi. 10.1080/03081087.2018.1545005
- By:
- Publication type:
- Article
6
On column and null spaces of functions of a pair of oblique projectors.
- Published in:
- Linear & Multilinear Algebra, 2013, v. 61, n. 8, p. 1116, doi. 10.1080/03081087.2012.731055
- By:
- Publication type:
- Article
7
Characterizations of EP, normal, and Hermitian matrices.
- Published in:
- Linear & Multilinear Algebra, 2008, v. 56, n. 3, p. 299, doi. 10.1080/03081080600872616
- By:
- Publication type:
- Article
8
A curious result on least squares estimation in linear regression.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 1989, v. 20, n. 3, p. 475, doi. 10.1080/0020739890200319
- By:
- Publication type:
- Article
9
BETWEEN OLSE AND BLUE.
- Published in:
- Australian & New Zealand Journal of Statistics, 2011, v. 53, n. 3, p. 289, doi. 10.1111/j.1467-842X.2011.00635.x
- By:
- Publication type:
- Article
10
On Generalized Rotation Matrices.
- Published in:
- ISRN Applied Mathematics, 2011, p. 1, doi. 10.5402/2011/578352
- By:
- Publication type:
- Article
11
Let us do the twist again.
- Published in:
- Statistical Papers, 2013, v. 54, n. 4, p. 1109, doi. 10.1007/s00362-013-0512-3
- By:
- Publication type:
- Article
12
A projector oriented approach to the best linear unbiased estimator.
- Published in:
- Statistical Papers, 2009, v. 50, n. 4, p. 721, doi. 10.1007/s00362-009-0252-6
- By:
- Publication type:
- Article
13
Preface to the Proceedings of the International Conference on Trends and Perspectives in Linear Statistical Inference LINSTAT' 2008 in Celebration of Tadeusz Calińskis 80th Birthday.
- Published in:
- 2009
- By:
- Publication type:
- Proceeding
14
FURTHER CHARACTERIZATIONS OF FUNCTIONS OF A PAIR OF ORTHOGONAL PROJECTORS.
- Published in:
- Discussiones Mathematicae: Probability & Statistics, 2017, v. 37, n. 1/2, p. 65, doi. 10.7151/dmps.1187
- By:
- Publication type:
- Article
15
ON MELANCHOLIC MAGIC SQUARES.
- Published in:
- Discussiones Mathematicae: Probability & Statistics, 2013, v. 33, n. 1-2, p. 111, doi. 10.7151/dmps.1155
- By:
- Publication type:
- Article
16
AN ALTERNATIVE APPROACH TO CHARACTERIZE THE COMMUTATIVITY OF ORTHOGONAL PROJECTORS.
- Published in:
- Discussiones Mathematicae: Probability & Statistics, 2008, v. 28, n. 1, p. 113, doi. 10.7151/dmps.1095
- By:
- Publication type:
- Article
17
SOME FURTHER RESULTS ON THE USE OF PROXY VARIABLES IN PREDICTION.
- Published in:
- Review of Economics & Statistics, 1993, v. 75, n. 4, p. 707, doi. 10.2307/2110026
- By:
- Publication type:
- Article
18
Intersection of three planes revisited – an algebraic approach.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2017, v. 48, n. 2, p. 285, doi. 10.1080/0020739X.2016.1228016
- By:
- Publication type:
- Article
19
Polar and singular value decomposition of 3×3 magic squares.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2013, v. 44, n. 5, p. 774, doi. 10.1080/0020739X.2013.790507
- By:
- Publication type:
- Article
20
A simple parameterization of 3×3 magic squares.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2012, v. 43, n. 1, p. 128, doi. 10.1080/0020739X.2011.573874
- By:
- Publication type:
- Article
21
Eigenspaces of the proper rotation matrices.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2010, v. 41, n. 6, p. 827, doi. 10.1080/00207391003675174
- By:
- Publication type:
- Article
22
On the rotations taking one vector into another.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2006, v. 37, n. 5, p. 614, doi. 10.1080/00207390600597591
- By:
- Publication type:
- Article
23
Most-perfect pandiagonal magic squares and their Moore-Penrose inverse.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2004, v. 35, n. 5, p. 697, doi. 10.1080/0020739042000232510
- By:
- Publication type:
- Article
24
Classroom note: An extension of Lagrange's identity to matrices.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2004, v. 35, n. 2, p. 245, doi. 10.1080/00207390310001615534
- By:
- Publication type:
- Article
25
Calssroom note: Estimation of the cross-product of two mean vectors.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2003, v. 34, n. 6, p. 928, doi. 10.1080/00207390310001595573
- By:
- Publication type:
- Article
26
The Moore-Penrose inverse and the vector product.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2002, v. 33, n. 3, p. 431, doi. 10.1080/002073902760047922
- By:
- Publication type:
- Article
27
The Moore–Penrose inverse of a semi-magic square is semi-magic.
- Published in:
- International Journal of Mathematical Education in Science & Technology, 2001, v. 32, n. 4, p. 624, doi. 10.1080/002073901750334781
- By:
- Publication type:
- Article
28
A note on generalized ridge estimators.
- Published in:
- Communications in Statistics: Theory & Methods, 1990, v. 19, n. 8, p. 2871, doi. 10.1080/03610929008830354
- By:
- Publication type:
- Article
29
On the euclidean distance between biased estimators.
- Published in:
- Communications in Statistics: Theory & Methods, 1984, v. 13, n. 3, p. 273, doi. 10.1080/03610928408828683
- By:
- Publication type:
- Article
30
The Numerical Range of the Luoshu Is a Piece of Cake--Almost.
- Published in:
- College Mathematics Journal, 2012, v. 43, n. 5, p. 371, doi. 10.4169/college.math.j.43.5.371
- By:
- Publication type:
- Article
31
The Cross Product as a Polar Decomposition.
- Published in:
- College Mathematics Journal, 2008, v. 39, n. 3, p. 237
- By:
- Publication type:
- Article
32
On the Square Root of aa[sup T] + bb[sup T].
- Published in:
- College Mathematics Journal, 2003, v. 34, n. 1, p. 39, doi. 10.1080/07468342.2003.11921983
- By:
- Publication type:
- Article
33
C430. On the singularity of the sample covariance matrix.
- Published in:
- Journal of Statistical Computation & Simulation, 1995, v. 52, n. 2, p. 172, doi. 10.1080/00949659508811662
- By:
- Publication type:
- Article
34
Assessing coverage-probabilities for approximate minimax estimators with respect to interval restrictions.
- Published in:
- Journal of Statistical Computation & Simulation, 1994, v. 50, n. 1/2, p. 59, doi. 10.1080/00949659408811599
- By:
- Publication type:
- Article
35
C413. On the moore-penrose inverse of a completely symmetric matrix.
- Published in:
- Journal of Statistical Computation & Simulation, 1994, v. 49, n. 3/4, p. 230, doi. 10.1080/00949659408811580
- By:
- Publication type:
- Article
36
SOME FURTHER REMARKS ON MULTICOLLINEARITY AND THE MINIMAX CONDITIONS OF THE BLOCK STEIN-LIKE ESTIMATOR.
- Published in:
- Econometrica, 1984, v. 52, n. 4, p. 1067, doi. 10.2307/1911200
- By:
- Publication type:
- Article
37
Zhang, L. (2007), "Sample Mean and Sample Variance: Their Covariance and Their (In)Dependence," The American Statistician, 61, 159–160: Comment by Trenkler.
- Published in:
- 2007
- By:
- Publication type:
- Letter
38
ON THE EFFICIENCY OF THE COCHRANE–ORCUTT ESTIMATOR IN THE SERIALLY CORRELATED ERROR COMPONENTS REGRESSION MODEL FOR PANEL DATA.
- Published in:
- Communications in Statistics: Theory & Methods, 2001, v. 30, n. 2, p. 195, doi. 10.1081/STA-100002025
- By:
- Publication type:
- Article
39
On the equality of usual and amemiya's partially generalized least squares estimator.
- Published in:
- Communications in Statistics: Theory & Methods, 1997, v. 26, n. 9, p. 2075, doi. 10.1080/03610929708832034
- By:
- Publication type:
- Article
40
MAGIC MOORE-PENROSE INVERSES AND PHILATELIC MAGIC SQUARES WITH SPECIAL EMPHASIS ON THE DANIELS-ZLOBEC MAGIC SQUARE.
- Published in:
- Croatian Operational Research Review, 2011, v. 2, p. 4
- By:
- Publication type:
- Article
41
Matrices Which Take a Given Vector into a Given Vector—Revisited.
- Published in:
- American Mathematical Monthly, 2004, v. 111, n. 1, p. 50, doi. 10.2307/4145016
- By:
- Publication type:
- Article
42
Book Review: Induktive Statistik. Eine Einführung mit SPS für Windows. By H. Toutenburg.
- Published in:
- Biometrical Journal, 2006, v. 48, n. 1, p. 177
- By:
- Publication type:
- Article
43
A Note on Comparing Stochastically Restricted Linear Estimators in a Regression Model.
- Published in:
- Biometrical Journal, 1993, v. 35, n. 1, p. 125, doi. 10.1002/bimj.4710350112
- By:
- Publication type:
- Article
44
A Philatelic Excursion with Jeff Hunter in Probability and Matrix Theory.
- Published in:
- Journal of Applied Mathematics & Decision Sciences, 2007, v. 2007, n. 1, p. 1, doi. 10.1155/2007/13749
- By:
- Publication type:
- Article
45
A Philatelic Excursion with Jeff Hunter in Probability and Matrix Theory.
- Published in:
- Journal of Applied Mathematics & Decision Sciences, 2007, v. 2007, p. 1, doi. 10.1155/2007/13749
- By:
- Publication type:
- Article
46
Estimation From Transformed Data Under the Linear Regression Model.
- Published in:
- Statistics, 1997, v. 29, n. 3, p. 205, doi. 10.1080/02331889708802585
- By:
- Publication type:
- Article
47
On the product of oblique projectors.
- Published in:
- Linear & Multilinear Algebra, 1998, v. 44, n. 3, p. 247, doi. 10.1080/03081089808818561
- By:
- Publication type:
- Article
48
Properties of Idempotent Matrix.
- Published in:
- Econometric Theory, 1997, v. 13, n. 4, p. 606, doi. 10.1017/S0266466600006058
- By:
- Publication type:
- Article
49
Orthogonal Projector.
- Published in:
- Econometric Theory, 1996, v. 12, n. 4, p. 744, doi. 10.1017/S0266466600007064
- By:
- Publication type:
- Article
50
Optimal Weighting of Unbiased Estimators–Solution.
- Published in:
- Econometric Theory, 1996, v. 12, n. 3, p. 587, doi. 10.1017/S0266466600006903
- By:
- Publication type:
- Article