Zobrazeno 1 - 10
of 229
pro vyhledávání: '"Yongge Tian"'
Autor:
Bo Jiang, Yongge Tian
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23544-23563 (2024)
This article explores the mathematical and statistical performances and connections of the two well-known ordinary least-squares estimators (OLSEs) and best linear unbiased estimators (BLUEs) of unknown parameter matrices in the context of a multivar
Externí odkaz:
https://doaj.org/article/415de73d6c3a469fafc4dc0d92b0a796
Autor:
Yongge Tian
Publikováno v:
Axioms, Vol 13, Iss 10, p 657 (2024)
Algebraic expressions and equalities can be constructed arbitrarily in a given algebraic framework according to the operational rules provided, and thus it is a prominent and necessary task in mathematics and applications to construct, classify, and
Externí odkaz:
https://doaj.org/article/3908bd3f31c44699999d60f98df9c2e4
Autor:
Yongge Tian, Ruixia Yuan
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 28818-28832 (2023)
The Kronecker product of two matrices is known as a special algebraic operation of two arbitrary matrices in the computational aspect of matrix theory. This kind of matrix operation has some interesting and striking operation properties, one of which
Externí odkaz:
https://doaj.org/article/ae792f638a39443680fcf044d35bb6e7
Autor:
Yongge Tian
Publikováno v:
Electronic Research Archive, Vol 31, Iss 9, Pp 5866-5893 (2023)
It is common knowledge that matrix equalities involving ordinary algebraic operations of inverses or generalized inverses of given matrices can be constructed arbitrarily from theoretical and applied points of view because of the noncommutativity of
Externí odkaz:
https://doaj.org/article/4686291be12044bcb2205af019ce0d01
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 21001-21021 (2023)
In practical applications of regression models, we may meet with the situation where a true model is misspecified in some other forms due to certain unforeseeable reasons, so that estimation and statistical inference results obtained under the true a
Externí odkaz:
https://doaj.org/article/0169adbd6b69465e88e919bbb8057912
Autor:
Yongge Tian
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 15189-15200 (2023)
This article offers a general procedure of carrying out estimation and inference under a linear statistical model $ {\bf y} = {\bf X} \pmb{\beta} + \pmb{\varepsilon} $ with an adding-up restriction $ {\bf A} {\bf y} = {\bf b} $ to the observed random
Externí odkaz:
https://doaj.org/article/0b75dfcb5808432f9541dfdaa4a672a1
Autor:
Yongge Tian
Publikováno v:
AIMS Mathematics, Vol 6, Iss 12, Pp 13845-13886 (2021)
Reverse order laws for generalized inverses of products of matrices are a class of algebraic matrix equalities that are composed of matrices and their generalized inverses, which can be used to describe the links between products of matrix and their
Externí odkaz:
https://doaj.org/article/67ac3b9bc5cc49148c45fbf405a42ddd
Autor:
Yongge Tian, Ruixia Yuan
Publikováno v:
Mathematics, Vol 11, Iss 3, p 756 (2023)
Let f(X1,X2,…,Xk) be a matrix function over the field of complex numbers, where X1,X2,…,Xk are a family of matrices with variable entries. The purpose of this paper is to propose and investigate the relationships between certain linear matrix fun
Externí odkaz:
https://doaj.org/article/5ff0b9715b8f425b9f5882ae26ac661f
Autor:
Bo Jiang, Yongge Tian
Publikováno v:
Mathematics, Vol 11, Iss 1, p 182 (2022)
This paper provides a complete matrix analysis on equivalence problems of estimation and inference results under a true multivariate linear model Y=XΘ+Ψ and its misspecified form Y=XΘ+ZΓ+Ψ with an augmentation part ZΓ through the cogent use of
Externí odkaz:
https://doaj.org/article/6496c19797f54ef7b48086b2014ded67
Publikováno v:
Axioms, Vol 11, Iss 9, p 440 (2022)
Given the linear matrix equation AXB=C, we partition it into the form A1X11B1+A1X12B2+A2X21B1+A2X22B2=C, and then pre- and post-multiply both sides of the equation by the four orthogonal projectors generated from the coefficient matrices A1, A1, B1,
Externí odkaz:
https://doaj.org/article/47366296b01a4dfb82537c3b7a9e51f4