• Journal of the Korean Statistical Society
• /
• v.28 no.3
• /
• pp.325-336
• /
• 1999

Collinearity among independent variables can have severe effects on the precision of response estimation for some region of interest in the experiments with mixture. A method of finding optimal linear restriction on regression parameter in linear model for mixture experiments in the sense of minimizing integrated mean squared error is studied. We use the formulation of optimal restrictions on regression parameters for estimating responses proposed by Park(1981) by transforming mixture components to mathematically independent variables.

• Journal of the Korean Statistical Society
• /
• v.4 no.1
• /
• pp.67-78
• /
• 1975

Over twenty-five years ago, Professor Klein and Rubin presented the linear expenditure system. That system was first estimated by Stone. Subsequently many investigators have estimated that system. In this paper, many points of the error structure shown by Pollak and Wales are referred to. Barten presented an estimation theorem on a singular covariance matrix. In order to estimate parameters, we place an emphasis on the maximum likihood method which we believe to be most appropriate. As we have one linear restriction on parameters to be estimated, we maximized the associated likelihood function subject to that linear restriction through the well-known lagrange multiplier method. This paper is organized in the following fashion : (1) a brief description on classical consumer theory, (2) a linear expenditure system and its constraint, (3) dyanmic specification and stochastic specification, (4) estimation method, and (5) conclusion.

• Journal of Mechanical Science and Technology
• /
• v.17 no.3
• /
• pp.329-335
• /
• 2003

EALQR (Linear Quadratic Regulate. design with Eigenstructure Assignment capability) has the capability of exact assignment of eigenstructure with the guaranteed margins of the LQR for MIMO (Multi-Input Multi-Output) systems. However, EALQR undergoes a restriction on the state-weighting matrix Q in LQR to be indefinite with respect to the region of allowable closedloop eigenvalues. The definiteness of the weighting matrix is closely related to the robustness property of a given system. In this paper, we derive a relation between the indefinite weighting matrix Q and the robustness property for EALQR. The modified frequency domain inequality, that could be guaranteed by EQLQR with an indefinite weighting matrix, is presented.

• International Journal of Control, Automation, and Systems
• /
• v.6 no.2
• /
• pp.288-294
• /
• 2008

Motivated by the fact that upper solution bounds for the continuous Lyapunov equation are valid under some very restrictive conditions, an attempt is made to extend the set of Hurwitz matrices for which such bounds are applicable. It is shown that the matrix set for which solution bounds are available is only a subset of another stable matrices set. This helps to loosen the validity restriction. The new bounds are illustrated by examples.

• International Journal of Control, Automation, and Systems
• /
• v.6 no.5
• /
• pp.776-784
• /
• 2008

In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation (CARE) are derived. Following the derivation of each bound, iterative algorithms are developed for obtaining sharper solution estimates. These bounds improve the restriction of the results proposed in a previous paper, and are more general. The proposed bounds are always calculated if the stabilizing solution of the CARE exists. Finally, numerical examples are given to demonstrate the effectiveness of the present schemes.

• Proceedings of the KIEE Conference
• /
• 2005.10b
• /
• pp.20-22
• /
• 2005

In this paper, we propose a novel stability criterion for switched linear systems. The proposed method employs the results on the upper bound of the solution of LME(Lyapunov Matrix Equation) and on the stability of hybrid system. The former guarantees the existence of Lyapunov-like energy functions and the latter shows that the stability of switched linear systems by using these energy functions. The proposed criterion releases the restriction on the stability of switched linear systems comparing with the existing methods and provides us with easy implementation way for pole assignment.

• Bulletin of the Korean Mathematical Society
• /
• v.54 no.2
• /
• pp.507-519
• /
• 2017

We present an upper bound on the Cheeger constant of a distance-regular graph. Recently, the authors found an upper bound on the Cheeger constant of distance-regular graph under a certain restriction in their previous work. Our new bound in the current paper is much better than the previous bound, and it is a general bound with no restriction. We point out that our bound is explicitly computable by using the valencies and the intersection matrix of a distance-regular graph. As a major tool, we use the discrete Green's function, which is defined as the inverse of ${\beta}$-Laplacian for some positive real number ${\beta}$. We present some examples of distance-regular graphs, where we compute our upper bound on their Cheeger constants.

• Journal of Life Science
• /
• v.6 no.4
• /
• pp.286-292
• /
• 1996

Angiogenesis is a fundamental process by which new blood vessels are formed. It is essential in embryo development, and wound healing. Furthermore, malignant tumor growth and metastasis are also angiogenesis-dependent. In the catilage tissue, normal angiogenesis process is suppressed. In fact, it was reported that angiogenesis-inhibitory substances were isolated from the extracts of cow and shark catilage tissue. In order to isolate genes involved in the regulation of angiogenesis from a catilage fish, we constructed a shark cDNA library from Scylliohinus torazame. We then screened the library using hyman tissue inhibitor of matrix metalloproteinase-1 (TIMP-1) gene as a probe. Among the 4 X 10$^{4}$ plaques screened, we isolated 2 positive clones (T-1, T-2). Restriction enzyme analysis revealed that the T-1 clone contains 0.8 kb cDNA insert, and the T-2 clone contains 1.2 kb and 2.2 kb inserts, respectively. Further DNA sequence analysis shows that the DNA sequence of the T-1 clone is 53% homologous to that of the human TIMP-1 gene.

• Korean Journal of Microbiology
• /
• v.32 no.4
• /
• pp.245-251
• /
• 1994

Ten strains of 7 species from the genus Ganoderma, G. lucidum ATCC 64251, FP-103561-T, and ES70701, G. applanatum ATCC 44053 and FP-57035-T. G. lobatum ATCC 42985, G. resinaceum ATCC 52416, G. subamboinense var. laevisporum ATCC 52420, G. meredithae ATCC 64492, and G. microsporum ATCC 76024, were studied to discuss their phylogenetic relationships by utilizing restriction fragment length polymorphisms (RFLPs) of mitochondrial DNAs (mtDNAs). Six restriction enzymes, BamHI, BglII, EcoRI, HindIII, PvuII, and XbaI which digested mtDNAs into adequate numbers of restriction fragments for cluster analysis, were used in this study. Restriction profiles of strains for each restriction enzyme were treated as analysis characters to calculate similarity coefficients, which were converted into nucleotide sequence divergence values whose mean values were then arranged in a matrix table. This table was utilized for a phylogenetic analysis using the Neighborjoining method of the PHYLIP package to construct phylogenetic tree. Three strains of G. lucidum and two strains of G. applanatum exhibited different lineages each but one of G. applanatum strains showed a close relationship with G. lobatum, which reflected the species complexity of these species whose strains were phenotypically indistinguishable but genetically distinct. The present results suggest that the natural classification of Ganoderma needs to be considered from the viewpoints of molecular biology-based systematics as well as morphological classifications and cultural identifications for better phylogenetic conclusions.

• Communications for Statistical Applications and Methods
• /
• v.4 no.1
• /
• pp.111-117
• /
• 1997

The ordinary least squares estimator $S^2$ for the variance of the disturbances is considered in the linear regression model with sutocorrelated disturbances. It is proved that the OLS-estimator of disturbance variance is asymptotically unbiased and weakly consistent, when the distrubances are generated by an MA(q) process. In particular, the asymptotic unbiasedness and consistency of $S^2$ is satisfied without any restriction on the regressor matrix.