• Bulletin of the Korean Mathematical Society
• /
• v.38 no.2
• /
• pp.379-387
• /
• 2001

In this paper, we study the value distribution of meromorphic functions and prove the following theorem: Let f(z) be a transcendental meromorphic function. If f and f'have the same zeros, then f'(z) takes any non-zero value b infinitely many times.

• Proceedings of the Korean Statistical Society Conference
• /
• 2003.10a
• /
• pp.15-19
• /
• 2003

In this paper, we develop the Jeffreys' prior, reference priors and the probability matching priors for the intraclass correlation coefficient of a symmetric normal distribution. We next verify propriety of posterior distributions under those noninformative priors. We examine whether reference priors satisfy the probability matching criterion.

• Communications for Statistical Applications and Methods
• /
• v.5 no.3
• /
• pp.591-597
• /
• 1998

We prove (at least empirically) that some forms of the scaled residuals calculated from i.i.d. multivariate normal random vectors are ancillary. We further show that, if the scaled residuals are ancillary, then they have the same distribution whatever form of rotation is rosed to remove sample correlations.

• Communications for Statistical Applications and Methods
• /
• v.5 no.3
• /
• pp.879-885
• /
• 1998

In this paper, we propose the approximate maximum likelihood estimators (AMLE) of the location and the scale parameter of the singly left truncated normal distribution. We compare the proposed estimators with the simpler estimators (SE) in terms of the mean squared error (MSE) through Monte Carlo methods.

• Journal of applied mathematics & informatics
• /
• v.4 no.1
• /
• pp.223-234
• /
• 1997

By Stochastic simulations we discuss the fitness of a mix-ture normal distribution to observations from general mixture distribu-tions using the MLE method and the EM algorithm. We calulate the probability of misclassifying objects and estimate the optimal number of mixture components with mutual information measure.

• Communications for Statistical Applications and Methods
• /
• v.7 no.1
• /
• pp.285-290
• /
• 2000

We noted a property of a stationary distribution on the matrix C, which is the covariance matrix of order statistics of standard normal distribution That is the sup norm of th powers of C is ee' divided by its dimension. The matrix C can be taken as a transition probability matrix in an acyclic Markov chain.

• Journal of The Korean Astronomical Society
• /
• v.29 no.spc1
• /
• pp.159-160
• /
• 1996

Recent high resolution CO observations of normal and starburst galaxies at Owens Valley Millimeter Array are summarized. While normal disk galaxies generally show exponential distribution which follows the optical blue light, starburst galaxies are often characterized by a compact ($\~$1 kpc) nuclear complex whose surface gas mass density is strongly correlated with the observed large infrared luminosity and thus the ongoing massive star formation.

• Journal of Korean Society for Quality Management
• /
• v.42 no.2
• /
• pp.209-219
• /
• 2014

Purpose: The purpose of this study is to develop the statistical test for process capability index $C_p$ based on mixture normal process. Methods: This study uses Bootstrap method to calculate the approximate P-value for various simulation conditions under mixture normal process. Results: This study indicates that our proposed method is effective way to test for process capability index $C_p$ based on mixture normal process. Conclusion: This study finds out that statistical test for process capability index $C_p$ based on mixture normal process is useful for real application.

• The Korean Journal of Applied Statistics
• /
• v.22 no.4
• /
• pp.879-891
• /
• 2009

We developed the projected l-axial skew-normal(LASN) family of distributions for I-axial data. The LASN family of distributions contains the semicircular skew-normal(SCSN) and the circular skew-normal(CSN) families of distributions as special cases. The LASN densities are similar to the wrapped skew-normal densities for the small values of the scale parameter. However CSN densities have more heavy tails than those of the wrapped skew-normal densities on the circle. Furthermore the CSN densities have two modes as the scale parameter increases. The LASN distribution has very convenient mathematical features. We extend the LASN family of distributions to a bivariate case.

• Proceedings of the Safety Management and Science Conference
• /
• 2013.04a
• /
• pp.547-556
• /
• 2013

Control chart is most widely used in SPC(Statistical Process Control), Recently it is a critical issue that the standard control chart is not suitable to non-normal process with very small percent defective. Especially, this problem causes serious errors in the reliability procurement, such as semiconductor, high-precision machining and chemical process etc. Procuring process control technique for non-normal process with very small percent defective and perturbation is becoming urgent. Control chart technique in non-normal distribution become very important issue. In this paper, we investigate on research trend of control charts under non-normal distribution.