• Kyungpook Mathematical Journal
• /
• v.48 no.1
• /
• pp.81-92
• /
• 2008

In this paper, the trajectory scroll in 3-dimensional Minkowski space-time $E_1^3$ is given by a firmly connected oriented line moving with Cartan frame along curve. Some theorems and results between curvatures of base curve and distribution parameter of this surface are obtained. Moreover, some theorems and results related to being developable and minimal of this surface are given. And also, some relationships among geodesic curvature, geodesic torsion and the curvatures of base curve of trajectory scroll are found.

• Journal of the Institute of Electronics Engineers of Korea TC
• /
• v.38 no.3
• /
• pp.35-43
• /
• 2001

A method is newly presented to synthesize the modal impedances satisfying the desired coupling factor of a reflective (or hack ward) coupled-line. The synthesis is achieved by optimal perturbations of repeating null points of lobes inherent to the solution of the first order nonlinear differential equation for coupling. It is based on the synthesis method of nonlinear source distribution functions for the prescribed space factor pattern in the one-dimensional array antenna. Here, the conventional synthesis method for the even distribution function is extended to the odd case. Resulting modal impedances will have continuously varying profiles. The design procedure of asymmetrical and symmetrical couplers corresponding to the even and odd distribution functions, is examplified to show the generalization and the simplicity of the proposed method.

• Communications for Statistical Applications and Methods
• /
• v.10 no.3
• /
• pp.1007-1015
• /
• 2003

In this paper we introduced a new score generating function for the rank dispersion function in a general linear model. Based on the new score function, we derived the null asymptotic theory of the rank-based hypothesis testing in a linear model. In essence we showed that several rank test statistics, which are primarily focused on our new score generating function and new dispersion function, are mainly distribution free and asymptotically converges to a chi-square distribution.

• Journal of the Korean Data and Information Science Society
• /
• v.14 no.4
• /
• pp.989-995
• /
• 2003

Inference for probability P(Y

• Journal of the Korean Statistical Society
• /
• v.36 no.4
• /
• pp.447-456
• /
• 2007

On the basis of marginal likelihood of the residual vector which is free of nuisance mean parameters, we propose new Lagrange Multiplier seasonal unit root tests in seasonal autoregressive process. The limiting null distribution of the tests is the standardized ${\chi}^2-distribution$. A Monte-Carlo simulation shows the new tests are more powerful than the tests based on the ordinary least squares (OLS) estimator, especially for large number of seasons and short time spans.

• KOREAN JOURNAL OF CROP SCIENCE
• /
• v.47 no.6
• /
• pp.465-470
• /
• 2002

This study presents results of electro-phoretically detectable isozyme variation in Crossing Block (CB) lines of two-rowed barley maintained by the National Crop Experiment Station. The specific objectives were to determine allelic frequencies at the four Est loci(Est1, Est2, Est4, and Est5) and their distribution over 380CB lines of two-rowed barley. A total of 17 alleles were detected over the four Est loci in these lines. There were 4 alleles (Pr, Al, Ca, and Af at the Est1 locus and their frequencies were 69.7, 1.1, 28.4, and 0.8%, respectively. At the Est2 locus, 5 different alleles (Dr, Fr, Sp, Un and a recessive null allele) were detected and their frequencies were 2.9,84.5,0.5,2.1, and 10%, respectively. four alleles (Nz, Su, At, and null were detected at the Est4 locus and the allelic frequency of Su was about 84%. Four alleles(Mi, Pi, Te, and a null allele(od)) were detected at the Est5 locus and their frequencies were 34.2, 61.0, 2.4, and 2.4%, respectively. Based on the allelic frequencies over the four Est loci, 380 CB lines were classified into 25 genotypes. The most frequent genotypes were G1(Pr-Fr-Su-Mi) and G2(Pr-Fr-Su-Pi), and their frequencies were 28.1 and 39.5%, respectively. The frequencies of other genotypes were less than 10%.

• Communications for Statistical Applications and Methods
• /
• v.8 no.3
• /
• pp.603-613
• /
• 2001

A test based on score statistic is derived for detecting homoscedasticity of errors in unbalanced random effects linear model. A small simulation study is performed to investigate the finite sample behaviour of the test statistic which is known to have an asymptotic chi-square distribution under the null hypothesis.

• Journal of the Korean Statistical Society
• /
• v.30 no.1
• /
• pp.63-76
• /
• 2001

An adaptive estimation and testing method is proposed for comparing dispersions among several ordered groups. Based upon the large sampling theory for nonparametric quartile estimators, we derive the order restricted estimators and construct a simple test statistic. This test statistic has a mixture of several chi-square distributions as its asymptotic null distribution. The proposed test is illustratively applied to survival time data for the patients with carcinoma of the oropharynx.

• Communications for Statistical Applications and Methods
• /
• v.8 no.2
• /
• pp.473-481
• /
• 2001

Shapiro and Wilk (1972) developed a test for exponentiality with origin and scale unknown. The procedure consists of comparing the generalized least squares estimate of scale with the estimate of scale given by the sample variance. However the test statistic is inconsistent. Kim(2001) proposed a modified Shapiro-Wilk's test statistic based on the ratio of tow asymptotically efficient estimates of scale. In this paper, we study the asymptotic behavior of the statistic using the approximation of the quantile process by a sequence of Brownian bridges and represent the limit null distribution as an integral of a Brownian bridge.

• Journal of the Korean Statistical Society
• /
• v.23 no.1
• /
• pp.103-114
• /
• 1994

For a $2 \times 2$ factorial design without the restriction of a linear model or without regard to error terms having homoscedasticity, under the null hypothesis of no interaction we can have the rank transformed F statistic for interaction converge in distribution to a chi-squared random variable with one degree of random if and only if there is only main effect.