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

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

• Proceedings of the Zoological Society Korea Conference
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• 2001.10a
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• pp.164.1-164
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• 2001

No Abstract, See Full Text

• Journal of the Korean Data and Information Science Society
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• v.14 no.4
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• pp.983-988
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• 2003

When the available sample is multiply Type-II censored, the maximum likelihood estimators of the location and the scale parameters of two-parameter exponential distribution do not admit explicitly. In this case, we propose some approximate maximum likelihood estimators by approximating the likelihood equations appropriately. We present an example to illustrate these estimation methods.

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

• Journal of the Korean Data and Information Science Society
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• v.12 no.1
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• pp.71-78
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• 2001

Three test statistics are proposed for the presence of seasonality in multiplicative seasonal time series models. Further their common limiting distribution is derived under some assumptions.

• Journal of Astronomy and Space Sciences
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• v.4 no.2
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• pp.89-94
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• 1987

By using the recently determined color excess and distance data of classical by Kim (1985), the distribution of interstellar reddening material was studied to see the general picture of the average rate of interstellar absorption out to about 7-8 kpc in the Galactic plane in various directions from the sun.

• Journal of the Korean Statistical Society
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• v.34 no.1
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• pp.35-38
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• 2005

A single, tractable, special case of the problem of continuous mixtures of beta distributions over their parameters is considered. This is the uniform mixture of generalized arc-sine distributions which, curiously, turns out to be linked by transformation to the Cauchy distribution.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.4
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• pp.527-532
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• 2008

We compare a coding space which has an ultra metric with the unit interval which has an associated generalized dyadic expansion. The two spaces are not homeomorphic but dimensionally equivalent in the sense that the Hausdorff and packing dimensions of the corresponding distribution sets in the two spaces coincide.

• Journal of The Korean Astronomical Society
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• v.6 no.1
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• pp.9-14
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• 1973

A simple model of the galactic mass distribution consisting of one sphere and two spheroids with different eccentricities is considered. The resulting model is found to be consistent with the recent observations of the galactic rotation as well as suggested shape of the Galaxy.